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.

arXiv commentexpanded version. few references and one author added

References in corpus (29)

• The Large N Limit of Superconformal Field Theories and Supergravity
• The Hagedorn Transition, Deconfinement and N=4 SYM Theory
• Scaling and Asymptotic Scaling in the SU(2) Gauge Theory
• Screening vs. Confinement in 1+1 Dimensions
• Exact Results in Non-Supersymmetric Large N Orientifold Field Theories
• A first order deconfinement transition in large N Yang-Mills theory on a small 3-sphere
• $1+1$-Dimensional Large $N$ QCD coupled to Adjoint Fermions
• Two Dimensional QCD coupled to Adjoint Matter and String Theory
• Exceptional Confinement in G(2) Gauge Theory
• (In)validity of large N orientifold equivalence
• The Deconfinement Phase Transition of Sp(2) and Sp(3) Yang-Mills Theories in 2+1 and 3+1 Dimensions
• Update of the Hagedorn mass spectrum
• Glueball spectrum in a (1+1)-dimensional model for QCD
• Refining the Proof of Planar Equivalence
• Universality of Phases in QCD and QCD-like Theories
• The Spectrum of a Large N Gauge Theory Near Transition from Confinement to Screening
• G_2 gauge theory at finite temperature
• Orbifold equivalence and the sign problem at finite baryon density
• The string tension in massive $QC{D}_2$
• Chiral gauge dynamics and dynamical supersymmetry breaking
• Mesonic Spectra of Bosonized QCD_2 Models
• Two dimensional QCD with matter in adjoint representation: What does it teach us?
• Planar Limit of Orientifold Field Theories and Emergent Center Symmetry
• QCD and the Hagedorn spectrum
• Does the empirical meson spectrum support the Hagedorn conjecture?
• Finite Temperature Gauge Theory from the Transverse Lattice
• The Hagedorn spectrum and large $N_c$ QCD in 2+1 and 3+1 dimensions
• Center symmetry and area laws
• Large Nc gauge theory with quarks in high representations

Cited by in corpus (3)

• Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD
• Universal Deformations
• Are degenerate groundstates induced by spontaneous symmetry breakings in quantum phase transitions?