Yang-Mills with light-cone coordinates

In summary, there are several references available for Yang-Mills theories formulated with light-cone coordinates, both old and recent. Some of these references may require access from a lab or university. Some of the more recent references can be found on arXiv, and cover topics such as conformal mechanics and twist decomposition in Quantum Chromodynamics.
  • #1
BlackBaron
30
0
Can someone give me some references on Yang-Mills theories formulated with light-cone coordinates? (preferably on-line)

Thank you very much in advance.
 
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  • #2
For those, you need an access from your lab, or university, or whatever :

Light-cone gauge in Yang-Mills theory
George Leibbrandt
PhysRevD.29.1699
this is old : (1983)

Yang-Mills theories in the light-cone gauge
A. Bassetto, M. Dalbosco, I. Lazzizzera, and R. Soldati
PhysRevD.31.2012
(1985)

Yang-Mills theory in the light-cone gauge in the Becchi-Rouet-Stora formalism
Su–Long Nyeo
PhysRevD.34.3842

I have few more recent references, available on arXiv :

Light-cone SU(2) Yang-Mills theory and conformal mechanics
V.P. Gerdt, A.M. Khvedelidze, D.M. Mladenov

Close to my interest, but maybe not yours :
Group Theoretical Analysis of Light-Cone Dominated Hadronic Processes and Twist Decomposition of Nonlocal Operators in Quantum Chromodynamics
Markus Lazar, Doctoral thesis
 
  • #3


One possible reference for Yang-Mills theories formulated with light-cone coordinates is the paper "Light-cone gauge Yang-Mills theory: a tutorial" by David Dudal and Nicolas Vandersickel. This paper can be found online at arXiv.org (https://arxiv.org/abs/1005.0634).

Another reference is the book "Light-cone gauge and quantization of Yang-Mills theory" by Stanley J. Brodsky, Hans-Christian Pauli, and Stephen S. Pinsky. This book can be accessed online through the website of the Stanford Linear Accelerator Center (https://www.slac.stanford.edu/cgi-wrap/getdoc/slac-pub-6376.pdf).

Additionally, the paper "Light-cone gauge Yang-Mills theory and perturbative quantum chromodynamics" by Stanley J. Brodsky, Guy F. de Téramond, and Hans-Christian Pauli, also available on arXiv.org (https://arxiv.org/abs/0802.0514), may be a useful reference.

These are just a few examples, but there are many other resources available online for studying Yang-Mills theories formulated with light-cone coordinates. I hope this helps.
 

Related to Yang-Mills with light-cone coordinates

What is Yang-Mills theory with light-cone coordinates?

Yang-Mills theory with light-cone coordinates is a mathematical framework used to describe the behavior of elementary particles and their interactions. It combines the principles of quantum mechanics and special relativity to study the dynamics of particles in a relativistic manner.

What are light-cone coordinates?

Light-cone coordinates are a coordinate system used in special relativity that describes the position and movement of particles in terms of their distance from the "light-cone". In this system, one coordinate represents the time dimension and the other represents the space dimension.

How is Yang-Mills theory with light-cone coordinates different from other theories?

Yang-Mills theory with light-cone coordinates differs from other theories in that it uses a specific type of coordinate system to describe the interactions between particles. This coordinate system allows for a more efficient and elegant mathematical formulation of the theory.

What are the applications of Yang-Mills theory with light-cone coordinates?

Yang-Mills theory with light-cone coordinates has many applications in theoretical physics, particularly in the study of high-energy particle interactions. It is used to understand the fundamental forces of nature, such as electromagnetism, the strong nuclear force, and the weak nuclear force.

What are the challenges in studying Yang-Mills theory with light-cone coordinates?

One of the main challenges in studying Yang-Mills theory with light-cone coordinates is its mathematical complexity. It requires advanced mathematical techniques and can be difficult to solve. Additionally, there is still much to be understood about this theory, particularly in regards to its role in unifying the fundamental forces of nature.

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