What is Qcd: Definition and 168 Discussions

In theoretical physics, quantum chromodynamics (QCD) is the theory of the strong interaction between quarks and gluons, the fundamental particles that make up composite hadrons such as the proton, neutron and pion. QCD is a type of quantum field theory called a non-abelian gauge theory, with symmetry group SU(3). The QCD analog of electric charge is a property called color. Gluons are the force carrier of the theory, just as photons are for the electromagnetic force in quantum electrodynamics. The theory is an important part of the Standard Model of particle physics. A large body of experimental evidence for QCD has been gathered over the years.
QCD exhibits three salient properties:

Color confinement. Due to the force between two color charges remaining constant as they are separated, the energy grows until a quark–antiquark pair is spontaneously produced, turning the initial hadron into a pair of hadrons instead of isolating a color charge. Although analytically unproven, color confinement is well established from lattice QCD calculations and decades of experiments.
Asymptotic freedom, a steady reduction in the strength of interactions between quarks and gluons as the energy scale of those interactions increases (and the corresponding length scale decreases). The asymptotic freedom of QCD was discovered in 1973 by David Gross and Frank Wilczek, and independently by David Politzer in the same year. For this work, all three shared the 2004 Nobel Prize in Physics.
Chiral symmetry breaking, the spontaneous symmetry breaking of an important global symmetry of quarks, detailed below, with the result of generating masses for hadrons far above the masses of the quarks, and making pseudoscalar mesons exceptionally light. Yoichiro Nambu was awarded the 2008 Nobel Prize in Physics for elucidating the phenomenon, a dozen years before the advent of QCD. Lattice simulations have confirmed all his generic predictions.

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  1. ohwilleke

    I Are Light Quark Pole Masses Below 1 GeV Meaningful or Non-Physical?

    The pole masses of the heavy quarks (c, b and t) are relatively well defined in QCD (i.e. the solution of m²(p²) = p² extrapolated using the beta function and the available data from other values of µ usually obtained based upon model dependent decompositions of hadron masses that include these...
  2. K

    A Question about LQCD and parallelization

    Hi there, I'm currently working on a relatively simple code to do some lattice simulations. I have access to a computing cluster at school and have been learning how to use OpenMP to parallelize my code (each node has 16 cores). I'm currently not planning to use MPI. My main question is...
  3. magnetic flux

    Physics Outlook after M.Sc. or PhD in Lattice QCD

    I will soon start a Master thesis in Lattice QCD. There I will spends lots of time developing C++ code and running it on different supercomputers. After that I consider doing a PhD if the Master thesis runs well. For the experimentalists I can see a lot of almost-engineering jobs where they...
  4. F

    How Do You Diagonalize the Chiral Symmetry Breaking Term for Pion Masses?

    Homework Statement I want to diagonalize the quadratic form $$ m_0((m_u+m_d)\pi^3\pi^3+\frac{2}{\sqrt{3}}(m_u-m_d)\pi^3\pi^8+\frac{1}{3}(m_u+m_d+4m_s)\pi^8\pi^8)$$ which can be found under equation 5.47, in order to get the mass of the η and ##\pi^0## pions. This quadratic form is produced by...
  5. I

    What Is the Issue with Scalar Loop Corrections in Non-Abelian SU(N) Theories?

    Hello all, I hope you can give me a hand with a QFT homework I'm working on. We are to compute the beta equation of a Non-abelian SU(N) theory with: Complex scalars (massless), bosons, ghosts. My question is referring to the Boson self-energy scalar loop correction. 1. Homework Statement We...
  6. A

    Other Comparing Lattice QCD vs QED Research Experience

    I have the opportunity to pursue a research project in either lattice QCD or QED. In the case of QED, I'd be writing the code myself, will be able to understand the whole thing, et cetera. There shouldn't be any mystery in this. It almost seems like a long exercise, and there isn't anything I'd...
  7. C

    QCD Correction to DIS: Evaluating Trace & Lorentz Invariant Phase Space

    I am considering the following virtual correction to the DIS process between a quark and photon. The process on the left in the attachment is one such QCD correction I can make but the diagram on the right is another (I just changed where the gluon vertices lie). It seems to me that both...
  8. C

    Looking for a good text book on QCD

    Hi, everyone, I am now looking for a good textbook on QCD. I am especially want to learn the derivation of DGLAP evolution equations. So, it will be better if the book contains the detailed derivation of evolution equations step by step for all the diagrams using Feynman rules. I looked through...
  9. Naeem Anwar

    What is the Model Independent Expectation Value for QCD Vacuum?

    How to understand QCD vacuum? What is the model independent expectation value for it? Looking for some basic literature on it. Thanks in advance!
  10. BiGyElLoWhAt

    Debunking Misconceptions About QCD: Understanding the Behavior of Quarks

    So I've been trying to figure this out, and I've come to 2 possible conclusions, either QCD is broken, or it behaves completely different, with different characteristics than I am used to (such as possibly not obeying superposition?) If blue is attracted to both red and green, then shouldn't a...
  11. Andreol263

    What are the key concepts needed to understand QED and QCD?

    Hi physicists , I'm in high-school yet, and since I've started study physics for myself my aim is to understand more complex fields of physics, and one of these fields in QED(Quantum Eletrodynamics) and QCD(Quantum Chromodynamics), could anyone tell me what the path to go for a good basis for...
  12. Eli137

    QCD Colors: What Do They Mean?

    Someone please explain what the colors mean in QCD. Are different colors different quarks? Are different colors the same quark with different amounts of energy? Is it something else entirely? Does it apply to leptons?
  13. K

    Would asymptomatic safe gravity grow weaker like QCD?

    QCD is asymptomatic safe well known to grow weaker at higher energies. if gravity is also asymptotic safe would it grow weaker at higher energies instead of stronger as predicted by classical GR? if not, is it possible there is a quantum gravity theory that like QCD grows weaker at higher...
  14. Safinaz

    An answer about former question about QCD interactions

    Hi all, In former threads, namely: "Color factors of color -- octet scalars", and "The double line notation and the adjoint representation" I were asking about the difference between the interaction vertices among: * three gluons (GGG), as in SM, * three colored octet scalars, call ## S =...
  15. Agave tequilana

    Can someone explain to me further on QCD

    Since I am a beginner in particle physics I was wondering if anyone could explain to me the concepts of Quantum Chromo Dynamics rather than saying it is the study of the colour force. 1. What are the concepts of QCD? 2. If QCD has more to it than colour, what are the other concepts? 3. Can you...
  16. ChrisVer

    Tight-to-Loose ratio method: QCD Background

    I was reading this document from CMS: https://cds.cern.ch/record/2002036?ln=en But I have some problems understanding how they calculated the bckg coming from the QCD. My questions come from Sec.6 Background, so you can jump and have a quick glimpse over it (?). They used the tight-to-loose...
  17. Ravendark

    Is the Sign in the Covariant Derivative Important for Local Gauge Invariance?

    Homework Statement Consider the fermionic part of the QCD Lagrangian: $$\mathcal{L} = \bar\psi (\mathrm{i} {\not{\!\partial}} - m) \psi \; ,$$ where I used a matrix notation to supress all the colour indices (i.e., ##\psi## is understood to be a three-component vector in colour space whilst...
  18. Alfie Simpson

    What is QCD (quantum chromodynamics)?

    Can someone give me a brief overview of QCD, I'd like to know famous physicists that worked in the field, the main theory's it includes, when did it begin and why do we study it? Thank you.
  19. wolram

    Dark matter, Mach's ether and the QCD vacuum

    I have found this paper, it seems interesting although i haven't read it all yet arXiv:1507.00460 [pdf] Dark matter, Mach's ether and the QCD vacuum Gilles Cohen-Tannoudji Subjects: History and Philosophy of Physics (physics.hist-ph); Cosmology and Nongalactic Astrophysics (astro-ph.CO)
  20. M

    Help me to understand the QCD vertex factor

    Guys...help me out to understand this 3-vertex factor of non-abelian and or QCD fields. it is from peskin & schroeder page 507.
  21. Hepth

    A modern intro to lattice QCD?

    Does anyone have a good reference to a more modern introduction to lqcd? By modern I mean including unquenched, staggered quark, etc. Most intros I find are quite dated and I'm interested in learning about newer technology and methods/improved. Figured there may be some lattice theorists here...
  22. A

    QCD: Understanding Leading and Higher Twists

    Can anyone explain to me what "twist" refers to in the context of QCD? More specifically, I have come across the terms "leading twist" and "higher twist".
  23. I

    QCD & Weak Theory: Furry's Theorem & Beyond

    Hello, everyone! I have a short question. I think everybody knows the Furry theorem for QED, which tells, in particular, that fermion loops with odd number of fermions always give 0. Does the same true for QCD of weak theory? Can one have non-zero contribution to 3-gluon vertex (or 3-boson...
  24. S

    Can Expanding Space Overcome Quark Confinement in Particles?

    This thread involves a little general relativity and a little particle physics. Observations indicate that space is expanding at an accelerated rate. Given this would continue, even atomic nuclei should be torn apart leaving single particles, isolated from one another by causal horizons. What...
  25. Arsenic&Lace

    Are microcanonical algorithms still used in lattice QCD?

    I stumbled across a paper which stated that the relation between statistical mechanics and field theory is exploited to recast lattice QCD in terms of a "microcanonical ensemble" of sorts. I was curious to know if this was still a commonly used technique. The paper in question...
  26. W

    Differential cross-section for partonic collisions

    I am trying to calculate differential cross-section for partonic collisions (QCD) like q + q \rightarrow q +q q + \bar{q}\rightarrow q + q g + g \rightarrow g + g I can't find those calculations done anywhere, just the results and maybe some middle tips, that's all. As you may know those...
  27. Breo

    Yang-Mills, QED, QCD and Yukawa theories

    What is the difference between Yang-Mills and QED theories? Yukawa and QCD? specially in terms of the lagrangians. I really want to get into this subject with a previously first sight.
  28. ChrisVer

    QCD vacuum and anomaly [Axions]

    I am studying this paper about the strong CP problem and axions by R.D. Peccei: http://arxiv.org/abs/hep-ph/0607268 At the moment I read through the introduction and I have some questions about some points, so please could you help me clear out some things?. [In general I'll try to feed back...
  29. Spinnor

    Lattice QCD, path integral, single "path", what goes on at a point?

    Say we try and calculate the ground state energy of the bound state of a quark antiquark meson via lattice QCD. Say I look at one space time lattice point of one path. Do the fermi fields "live" on the lattice points? Do the boson fields "live" on the legs between the space time lattice points...
  30. L

    Cross Section: Quark-Gluon vs. Quark-Photon

    This isn't a homework problem. I am preparing for a particle physics exam and although I understand the theoretical side of field theory, I have little idea how to approach practical scattering questions like these. THE PROBLEM: Dark matter might be observed at the LHC with monojet and...
  31. pedroall

    Order Parameter in a Gauge Theory, Can we find one in a Gauge Theory(like QCD)?

    Hello Community! I can't find a good answer(if there is) to my question. When in statistical mechanics we can define the order parameter for to study some phase transition. we need to define a order parameter. Now, I want to know if we can to define/find some "order parameter" for to...
  32. B

    Quarkonium: General Information

    So I've been set a computational problem regarding applying the Shroedinger equation to quarkonium and I'm just trying to do some research around the subject because it's nothing like I've ever covered before and quite fascinating. There's quite a few questions that I can't find answers to...
  33. V

    Getting introduced to Lattice QCD

    Hello, I am a first year graduate student in physics who is interested in getting involved in the field of lattice QCD. I purchased the text "Lattice methods for quantum chromodynamics" by DeGrand and Detar. I have never taken a course on quantum field theory, but I hoped that having...
  34. H

    QCD Confinement: Energy of Quark & Momentum Transfer

    Hello to all When we study the Confinement of QCD, the coupling strength increases as the momentum transfer decreases (i.e, p→0) and the coupling strength decreases as the momentum transfer increases (i.e, p→∞). My question is: can we say ω =m; where ω is the energy which is given as...
  35. Thor Shen

    About two integrals in QCD textbook by muta

    http://d.kankan3d.com/file/data/bcs/2014/0508/w65h1446064_1399517186_873.jpg 1.How to deal with the delta functions in eq.2.3.153 to obtain the eq.2.3.154 by integrating over q'? 2.How to caculate the integral from eq.2.3.154 to eq.2.3.156, especially the theta function?
  36. A

    Calculating Beta Function for Scalar QCD Theory

    Hi all, I am currently trying to calculate the beta function for scalar QCD theory (one loop for general su(n)). I therefore need to calculate the Feynman rules in order to apply them to the one loop diagrams. Unfortunately I am getting very confused with what the Lagrangian for scalar QCD...
  37. M

    Deur's modified gravity: a type of MOND inspired by QCD

    I found a few curious arxiv papers by Alexandre Deur (via Twitter). Deur works in QCD. He explains QCD strings (flux line between quark and antiquark) as due to attraction between gluon field lines, ultimately due to gluon-gluon interactions. Phenomenologically this adds a linear term to the...
  38. tom.stoer

    Hamiltonian formulation of QCD and nucleon mass

    Hello, there are several papers on QCD in Hamiltonian formulation, especially in Coulomb gauge. Unfortunately the Hamiltonian H is rather formel and highly complex. Question: is there a paper discussing the contribution of individual terms of H to the nucleon mass?
  39. Thor Shen

    QCD Feynman Diagrams: Understanding Particle Interactions

    the number stand for the index of particles (quarks and gluons) M=\bar{v}(p_2) ig_sT_{12}\gamma^\mu(12)u(p_1)\frac{-i}{p_7^2}\bar{u}(p_5) ig_sT_{56}\gamma_\mu(56)\bar{v}(p_6)\frac{-i}{m-\gamma^\mu p_{9\mu}}\bar{v}(p_3)...
  40. H

    Exploring Non-Perturbative QCD & High Energy Physics

    Hi every one, This time i am studying Quantum field theory and some times we call also high energy physics. But when we study QCD, more we focus on the confinement part, i.e non-perturbative part. That means low energy or large distance. My question is, can we consider non-perturbative QCD as...
  41. stevendaryl

    Is the Number of Colors in QCD Limited to Just 3?

    QCD has 3 "colors". I'm wondering whether there is something special about the number 3, or whether it is possible to generalize to N colors and get a very similar theory.
  42. D

    Difference between QED & QCD Vacuum

    Hi pf, i have been wondering what differentiates QED Vacuum from QCD Vacuum? How would u explain its implications? I mean, how can u define pure vacuum in 2 ways?
  43. C

    QCD, show that a Quark and an anti-quark of the same colour attract

    This isn't really a homework question but it's from a past paper for revision. It is a short question so it shouldn't require lengthy mathematics. It asks you to show that a quark and an anti-quark of the same colour will attract. The problem gives the 8 generator matrices of SU(3) and...
  44. S

    Can we calculate three-point correlation in lattice qcd

    Is it feasible to calculate a three-point correlation on the lattice? Say, I have two quark fields separated at z_1+z_2 and 0, and a gluon field inserted at z_2. Also I need two gauge links to make this expression gauge invariant: \bar{\psi}(z_1+z_2) \Gamma(z_1+z_2; z_2) F^{\mu\nu}(z_2)...
  45. Einj

    Understanding Quark-Gluon Vertex in QCD Feynman Rules

    Hi guys! A serious doubt just passed through my mind. It is probably a silly question. In writing the Feynman rules for QCD, we know that the quark-gluon vertex is given by: $$-ig\gamma_\mu T^a_{ij}$$ where T is the SU(3) generator and i and j are the colors of the incoming and outgoing...
  46. M

    Could Tamar Friedmann's New Interpretation Revolutionize QCD Understanding?

    A few years ago, Tamar Friedmann (then at MIT) wrote two papers proposing a new interpretation of the hadron spectrum, and some new phenomenological laws governing hadron size (and see this talk for a synopsis). According to yesterday's hep-ph update, they're finally going to appear in...
  47. M

    Exploring Holographic QCD: Understanding the Proton in String Theory

    There was a thread about how to describe the proton in string theory that was deleted while I was writing an answer, so I will post my answer here in a new thread. How the proton, and processes inside the proton, are described in string theory, is an open research question, part of the area...
  48. P

    How do we deal with the poles in QCD form factors?

    Form factors in QCD are given in following form "f(q^2)=f(0)/(1-q^2/m^2)". This expression has a pole at q=m. How do we plot these form factors vs center of mass energy and deal with the pole.
  49. N

    How can we demonstrate hadrons in QCD must be color singlet?

    Coupling constant of strong interaction is only finitely greater than coupling constant in QED if the quarks insides hadron not very far apart each other,so I do not understand why there are not exist color multiplet states of hadrons,other hand I do not understand why the singlet states have...
  50. B

    QCD string tension at strong coupling: log(g^2) vs. g^2

    Hi everyone, I am trying to understand some things about confinement in lattice QCD. It has been very difficult so far to find a clear book chapter or review article, so I had to resort to the original literature in many cases, and I came across some apparently incompatible statements about...
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