Can higgs-like potential be derived from string phenomenology?

[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.

 

[Mike2]

I just wonder if there are any known models that suggest higgs-like
potential (Sigma a phi_a^2-constant)^2 in string phenomenology.

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).

 

[PrudensOptimus]

you are in too smart of a school to ask such a damn stupid question. Next.

 

[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.[/color]

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/
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[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.[/color]

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.