# Volume independence in large Nc QCD-like gauge theories

@article{Kovtun2007VolumeII,
title={Volume independence in large Nc QCD-like gauge theories},
author={Pavel K. Kovtun and Mithat Unsal and Laurence G. Yaffe},
journal={Journal of High Energy Physics},
year={2007},
volume={2007},
pages={019}
}
• Published 5 February 2007
• Physics
• Journal of High Energy Physics
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. A natural generalization concerns volume independence in theory space'' of quiver gauge theories. In pure Yang-Mills theory, the failure of volume independence for sufficiently small volumes (at weak coupling) due to spontaneous breaking of center…
145 Citations

## Figures from this paper

### Finite volume phases of large-N gauge theories with massive adjoint fermions

• Physics
• 2009
The phase structure of QCD-like gauge theories with fermions in various representations is an interesting but generally analytically intractable problem. One way to ensure weak coupling is to define

### Orbifold equivalence for finite density QCD and effective field theory

• Physics
• 2011
In the large Nc limit, some apparently different gauge theories turn out to be equivalent due to large Nc orbifold equivalence. We use effective field theory techniques to explore orbifold

### Can fermions save large N dimensional reduction

• Physics
• 2009
This paper explores whether Eguchi-Kawai reduction for gauge theories with adjoint fermions is valid. The Eguchi-Kawai reduction relates gauge theories in different numbers of dimensions in the large

### Large- N reduction in QCD-like theories with massive adjoint fermions

• Physics
• 2010
Large-$N$ QCD with heavy adjoint fermions emulates pure Yang-Mills theory at long distances. We study this theory on a four- and three-torus, and analytically argue the existence of a large-small

### Center-stabilized Yang-Mills theory: Confinement and large N volume independence

• Physics
• 2008
We examine a double trace deformation of SU(N) Yang-Mills theory which, for large N and large volume, is equivalent to unmodified Yang-Mills theory up to O(1/N{sup 2}) corrections. In contrast to the

### Universality between vector-like and chiral quiver gauge theories: anomalies and domain walls

• Physics
Journal of High Energy Physics
• 2020
We study low-energy dynamics of [SU( N )] K chiral quiver gauge theories in connection with N $$\mathcal{N}$$ = 1 super Yang-Mills (SYM) theory, and quantum chromodynamics with bi-fundamental

### Comments on large-N volume independence

• Physics
• 2010
We study aspects of the large-N volume independence on ${\mathbb{R}^3} \times {L^\Gamma }$, where LΓ is a Γ-site lattice for Yang-Mills theory with adjoint Wilson-fermions. We find the critical

### Volume (in)dependence in Yang-Mills theories

Despite their apparent simplicity, Yang-Mills theories give rise to a rich variety of phenomena. Of particular interest to us is the deep relationship between spacetime and colour degrees of freedom

### Large-N volume reduction of lattice QCD with adjoint Wilson fermions at weak-coupling

We study the large-N volume reduction of QCD with adjoint quarks regularized on the lattice. Specifically, we use Wilson fermions, and while our d-dimensional lattice has (d−1) infinite dimensions,

### Yang-Mills theories with chiral matter at strong coupling

• Physics
• 2009
Strong coupling dynamics of Yang-Mills theories with chiral fermion content remained largely elusive despite much effort over the years. In this work, we propose a dynamical framework in which we can

## References

SHOWING 1-10 OF 45 REFERENCES

### In)validity of large N orientifold equivalence

• Physics
• 2006
It has been argued that the bosonic sectors of supersymmetric SU(N) Yang-Mills theory, and of QCD with a single fermion in the antisymmetric (or symmetric) tensor representation, are equivalent in

### From SUPER-YANG-MILLS Theory to Qcd: Planar Equivalence and its Implications

• Physics
• 2004
We review and extend our recent work on the planar (large N) equivalence between gauge theories with varying degree of supersymmetry. The main emphasis is made on the planar equivalence between N=1

### Can large N{sub c} equivalence between supersymmetric Yang-Mills theory and its orbifold projections be valid?

• Physics
• 2005
In previous work, we found that necessary and sufficient conditions for large N{sub c} equivalence between parent and daughter theories, for a wide class of orbifold projections of U(N{sub c}) gauge

### Necessary and sufficient conditions for non-perturbative equivalences of large N c orbifold gauge theories

• Mathematics
• 2005
Large N coherent state methods are used to study the relation between U(Nc) gauge theories containing adjoint representation matter fields and their orbifold projections. The classical dynamical

### Non-perturbative equivalences among large Nc gauge theories with adjoint and bifundamental matter fields

• Mathematics, Physics
• 2003
We prove an equivalence, in the large N c limit, between certain U(Nc) gauge theories containing adjoint representation matter fields and their orbifold projections. Lattice regularization is used to

### Wilson line in finite-temperature gauge theories

The phases of SU(N) gauge theories at finite temperature can be analyzed in terms of the Wilson line L(x) = TrP exp(ig..integral../sub 0//sup ..beta../A/sub 0/(x,tau)dtau). The question of

### Effective potential for the order parameter of gauge theories at finite temperature

SU(n) gauge theories at finite temperature T = ..beta../sup -1/ are analyzed in terms of the spontaneous breakdown of a Z(n) symmetry corresponding to the order parameter L(x) = (1/n)Tr P

### Mother moose: Generating extra dimensions from simple groups at large N

• Physics, Mathematics
• 2002
We show that there exists a correspondence between four dimensional gauge theories with simple groups and higher dimensional gauge theories at large N. As an example, we show that a four dimensional

### Comments on Condensates in Non-Supersymmetric Orbifold Field Theories

Non-supersymmetric orbifolds of N=1 super Yang-Mills theories are conjectured to inherit properties from their supersymmetric parent. We examine this conjecture by compactifying the Z_2 orbifold