Center symmetry and Hagedorn spectrum

Abstract

This paper explores the conjecture that large Nc gauge theories have a Hagedorn spectrum, if, and only if, they are confining and posses an explicit or emergent center symmetry. Evidence in support of this conjecture is presented. Many classes of large Nc gauge theories are considered. In all cases, we find that theories for which there exists a strong plausibility argument for a Hagedorn spectrum at large Nc are also believed to be confining and possess either an explicit center symmetric or have a strong plausibility argument for the existence of an emergent center symmetry at large Nc . Conversely, all theories we considered which are believed not to have a Hagedorn spectrum at large Nc, either were known not to be confining or else were believed to lack an emergent center symmetry. This is consistent with expectations based on the conjecture.

expanded version. few references and one author added

References in corpus (7)

• (In)validity of large N orientifold equivalence
• G_2 gauge theory at finite temperature
• Orbifold equivalence and the sign problem at finite baryon density
• Chiral gauge dynamics and dynamical supersymmetry breaking
• Planar Limit of Orientifold Field Theories and Emergent Center Symmetry
• Center symmetry and area laws
• Large Nc gauge theory with quarks in high representations

Cited by in corpus (2)

• Universal Deformations
• Are degenerate groundstates induced by spontaneous symmetry breakings in quantum phase transitions?