Center symmetry and the orientifold planar equivalence
arXiv:0812.3617 · doi:10.1088/1126-6708/2009/03/071
Abstract
We study the center symmetry of SU(N) gauge theories with fermions in the two-index representations, by computing the effective potential of the Polyakov loop in the large-mass expansion on the lattice. In the large-N limit and at non-zero temperature, we find that the center symmetry is Z_N for fermions in the adjoint representation and just Z_2 for fermions in the (anti)symmetric representation. We discuss the fact that our results do not contradict the orientifold planar equivalence, which relates a common sector defined by the bosonic gauge-invariant C-even states of theories with fermions in different two-index representations. Our results complement the work of Armoni et al. (2007), who showed how at zero temperature a Z_N center symmetry is dynamically recovered also for fermions in the (anti)symmetric representation, by considering the theories at finite temperature.
27 pages, 7 eps figures
References in corpus (13)
- Orientifold theory dynamics and symmetry breaking
- Exact Results in Non-Supersymmetric Large N Orientifold Field Theories
- SUSY Relics in One-Flavor QCD from a New 1/N Expansion
- Does the crossover from perturbative to nonperturbative physics in QCD become a phase transition at infinite N ?
- (In)validity of large N orientifold equivalence
- Necessary and sufficient conditions for non-perturbative equivalences of large N orbifold gauge theories
- Refining the Proof of Planar Equivalence
- Non-perturbative equivalences among large N gauge theories with adjoint and bifundamental matter fields
- Higher Representations: Confinement and Large N
- Planar Limit of Orientifold Field Theories and Emergent Center Symmetry
- A note on C-Parity Conservation and the Validity of Orientifold Planar Equivalence
- Small volume expansion of almost supersymmetric large N theories
- An insight on the Proof of Orientifold Planar Equivalence on the Lattice