Volume independence in large Nc QCD-like gauge theories

Details Volume independence in large Nc QCD-like gauge theories Volume independence in large Nc QCD-like gauge theories

2007-02-05

arxiv.org/abs/hep-th/0702021v1

JHEP 0706:019,2007

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, 4 figures

Scientific paper

10.1088/1126-6708/2007/06/019

Volume independence in large $\Nc$ gauge theories may be viewed as a generalized orbifold equivalence. The reduction to zero volume (or Eguchi-Kawai reduction) is a special case of this equivalence. So is temperature independence in confining phases. In pure Yang-Mills theory, the failure of volume independence for sufficiently small volumes (at weak coupling) due to spontaneous breaking of center symmetry, together with its validity above a critical size, nicely illustrate the symmetry realization conditions which are both necessary and sufficient for large $\Nc$ orbifold equivalence. The existence of a minimal size below which volume independence fails also applies to Yang-Mills theory with antisymmetric representation fermions [QCD(AS)]. However, in Yang-Mills theory with adjoint representation fermions [QCD(Adj)], endowed with periodic boundary conditions, volume independence remains valid down to arbitrarily small size. In sufficiently large volumes, QCD(Adj) and QCD(AS) have a large $\Nc$ ``orientifold'' equivalence, provided charge conjugation symmetry is unbroken in the latter theory. Therefore, via a combined orbifold-orientifold mapping, a well-defined large $\Nc$ equivalence exists between QCD(AS) in large, or infinite, volume and QCD(Adj) in arbitrarily small volume. Since asymptotically free gauge theories, such as QCD(Adj), are much easier to study (analytically or numerically) in small volume, this equivalence should allow greater understanding of large $\Nc$ QCD in infinite volume.

Affiliated with

Also associated with

No associations

Rating

Volume independence in large Nc QCD-like gauge theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Volume independence in large Nc QCD-like gauge theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Volume independence in large Nc QCD-like gauge theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-714423