- #1
yyoon@fas.harvard.edu
I just wonder if there are any known models that suggest higgs-like
potential (Sigma a phi_a^2-constant)^2 in string phenomenology.
potential (Sigma a phi_a^2-constant)^2 in string phenomenology.
Can higgs-like potential be derived from string phenomenology?
- Thread starter yyoon@fas.harvard.edu
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In summary, the conversation discusses the existence of higgs-like potential in string phenomenology and the role of supersymmetry and gauge theories in generating such a potential. It is suggested that in certain configurations, a D-term potential can be obtained, but it is only possible in theories with at most eight supercharges. This potential is associated with the Higgs phase, which exists under certain conditions. However, in theories with sixteen supercharges, the potential is flat.
- #2
Mike2
- 1,313
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IIRC, mass in string theory is somehow obtained by the frequency and/or amplitude of the vibrations of the string. And potential is manifested as a force over distance. In string theory forces are exhibited by particles which are strings. So you are asking if there are strings that give rise to mass which are a property of strings. I don't think there is a special particle (the Higgs bosson) that gives every other strings its vibration. Such vibrations are just inherent to all strings. But there may be ways in which various string interact that do give them different vibrational modes that gives them mass (or not).yyoon@fas.harvard.edu said:
- #3
PrudensOptimus
- 641
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you are in too smart of a school to ask such a damn stupid question. Next. 
- #4
Al.Rivero@gmail.com
yyoon@fas.harvard.edu wrote:
> I just wonder if there are any known models that suggest higgs-like
> potential (Sigma a phi_a^2-constant)^2 in string phenomenology.
I guess they rely on the subyacent supersymmetrical phenomenology. In
susy it is usual to generate a higgs like potential by using the
renormalisation group so that the mass square term becomes negative
when coming to the scale of the top quark. The trick, discovered by
Ibañez time ago, works precisaly because the top mass is far from the
other ones.
In extra dimensional, non string theories, the higgs field is sometimes
associated to the extra dimension, specially when this dimension is
discrete._______________________________________________________________________________
Web page of SPS: http://schwinger.harvard.edu/~sps/
Posted via: http://groups.google.com/groups?group=sci.physics.strings
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
> I just wonder if there are any known models that suggest higgs-like
> potential (Sigma a phi_a^2-constant)^2 in string phenomenology.
I guess they rely on the subyacent supersymmetrical phenomenology. In
susy it is usual to generate a higgs like potential by using the
renormalisation group so that the mass square term becomes negative
when coming to the scale of the top quark. The trick, discovered by
Ibañez time ago, works precisaly because the top mass is far from the
other ones.
In extra dimensional, non string theories, the higgs field is sometimes
associated to the extra dimension, specially when this dimension is
discrete._______________________________________________________________________________
Web page of SPS: http://schwinger.harvard.edu/~sps/
Posted via: http://groups.google.com/groups?group=sci.physics.strings
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Last edited by a moderator:
- #5
Jack Tremarco
yyoon@fas.harvard.edu wrote:
> I just wonder if there are any known models that suggest higgs-like
> potential (Sigma a phi_a^2-constant)^2 in string phenomenology.
The D-term potential you write is completely natural in supersymmetric
gauge theories in four dimensions with at most eight supercharges (N <=
2). These gauge theories can be realized on a Hanany-Witten type brane
configuration in type IIA. Turning on the potential is accomplished by
introducing a Fayet-Iliopoulos parameter for the diagonal U(1) factor
of the gauge group. In the brane setup this corresponds to breaking
each color D4 on a flavor D6 and removing the two halves of the brane
configuration a finite distance in a flat direction of the internal
space. From this geometry it is clear that the Higgs phase emanates
from one specific point on the Coulomb branch and exists only if N_f >=
N_c.
Sixteen conserved supercharges in 4d (N=4) would force the potential to
be flat. Hence the restriction I mentioned.
> I just wonder if there are any known models that suggest higgs-like
> potential (Sigma a phi_a^2-constant)^2 in string phenomenology.
The D-term potential you write is completely natural in supersymmetric
gauge theories in four dimensions with at most eight supercharges (N <=
2). These gauge theories can be realized on a Hanany-Witten type brane
configuration in type IIA. Turning on the potential is accomplished by
introducing a Fayet-Iliopoulos parameter for the diagonal U(1) factor
of the gauge group. In the brane setup this corresponds to breaking
each color D4 on a flavor D6 and removing the two halves of the brane
configuration a finite distance in a flat direction of the internal
space. From this geometry it is clear that the Higgs phase emanates
from one specific point on the Coulomb branch and exists only if N_f >=
N_c.
Sixteen conserved supercharges in 4d (N=4) would force the potential to
be flat. Hence the restriction I mentioned.
Related to Can higgs-like potential be derived from string phenomenology?
1. Can you explain the concept of higgs-like potential in simple terms?
The higgs-like potential is a theoretical concept in physics that describes the behavior of the higgs field, which is responsible for giving particles their mass. It is similar to a potential energy field that exists throughout the universe and interacts with particles to give them mass.
2. How does string theory relate to the higgs-like potential?
String theory is a theoretical framework that attempts to unify all of the fundamental forces and particles in the universe. It predicts the existence of extra dimensions and the behavior of strings as the fundamental building blocks of the universe. String phenomenology is a branch of string theory that focuses on the observable implications of the theory. Some string phenomenology models can predict a higgs-like potential and its properties.
3. What is the significance of being able to derive the higgs-like potential from string phenomenology?
If it is possible to derive the higgs-like potential from string phenomenology, it would provide further evidence for the validity of string theory. It would also give us a deeper understanding of the higgs field and its role in the universe, potentially leading to new insights and advancements in physics.
4. Are there any experimental methods to test the predictions of string phenomenology regarding the higgs-like potential?
Currently, there are no direct experimental methods to test the predictions of string phenomenology regarding the higgs-like potential. However, researchers are working on ways to indirectly test these predictions through particle collider experiments and observations of the cosmic microwave background radiation.
5. How close are we to being able to fully understand the higgs-like potential through string phenomenology?
String phenomenology is a rapidly developing field, and there is still much research to be done before we can fully understand the higgs-like potential through this framework. However, advancements in string theory and experimental methods are bringing us closer to a complete understanding of this complex concept.
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