QCD-like theories at nonzero temperature and density

Abstract

We investigate the properties of hot and/or dense matter in QCD-like theories with quarks in a (pseudo)real representation of the gauge group using the Nambu-Jona-Lasinio model. The gauge dynamics is modeled using a simple lattice spin model with nearest-neighbor interactions. We first keep our discussion as general as possible, and only later focus on theories with adjoint quarks of two or three colors. Calculating the phase diagram in the plane of temperature and quark chemical potential, it is qualitatively confirmed that the critical temperature of the chiral phase transition is much higher than the deconfinement transition temperature. At a chemical potential equal to half of the diquark mass in the vacuum, a diquark Bose-Einstein condensation (BEC) phase transition occurs. In the two-color case, a Ginzburg-Landau expansion is used to study the tetracritical behavior around the intersection point of the deconfinement and BEC transition lines, which are both of second order. We obtain a compact expression for the expectation value of the Polyakov loop in an arbitrary representation of the gauge group (for any number of colors), which allows us to study Casimir scaling at both nonzero temperature and chemical potential.

JHEP class, 31 pages, 7 eps figures; v2: error in Eq. (3.11) fixed, two references added; matches published version

References in corpus (8)

• The Phase Structure of the Polyakov--Quark-Meson Model
• Abelian duality, confinement, and chiral symmetry breaking in QCD(adj)
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• Deconfinement in dense 2-color QCD
• Renormalized Polyakov loops in many representations
• Model study of the sign problem in the mean-field approximation
• Larkin-Ovchinnikov-Fulde-Ferrell state in two-color quark matter

Cited by in corpus (24)

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• Singular values of the Dirac operator in dense QCD-like theories
• Universal Aspects of QCD-like Theories
• Dark Confinement and Chiral Phase Transitions: Gravitational Waves vs Matter Representations
• Nambu-Jona-Lasinio model description of weakly interacting Bose condensate and BEC-BCS crossover in dense QCD-like theories
• Phase transitions and gluodynamics in 2-colour matter at high density
• Polyakov Loop and Gluon Quasiparticles in Yang-Mills Thermodynamics
• Differences and similarities between fundamental and adjoint matters in SU(N) gauge theories
• Quark-Hadron Matter at Finite Temperature and Density in a Two-Color PNJL model
• Dynamical Locking of the Chiral and the Deconfinement Phase Transition in QCD
• Probing the hadron mass spectrum in dense two-color QCD with the linear sigma model
• The Polyakov loop in various representations in the confined phase of QCD
• Deconfinement vs. chiral symmetry and higher representation matter
• Fluctuation-induced higher-derivative couplings and infrared dynamics of the Quark-Meson-Diquark Model
• Thermodynamics of the Quark-Gluon Plasma in Terms of Quasiparticles and Polyakov Line Condensates
• Phases of circle-compactified QCD with adjoint fermions at finite density
• Chiral effective model of cold and dense two-color QCD: The linear sigma model approach
• In-medium QCD sum rules for D mesons: A projection method for higher order contributions
• Pairing fluctuation effects in a strongly coupled color superfluid/superconductor
• Building models of quarks and gluons with an arbitrary number of colors using Cartan-Polyakov loops
• Phase diagram of dense quark matter in QCD-like theories