2d Model Field Theories at Finite Temperature and Density

Abstract

In certain 1+1 dimensional field theoretic toy models, one can go all the way from microscopic quarks via the hadron spectrum to the properties of hot and dense baryonic matter in an essentially analytic way. This "miracle" is illustrated through case studies of two popular large N models, the Gross-Neveu and the 't Hooft model - caricatures of the Nambu-Jona-Lasinio model and real QCD, respectively. The main emphasis will be on aspects related to spontaneous symmetry breaking (discrete or continuous chiral symmetry, translational invariance) and confinement.

90 pages, 27 figures, Contribution to the Festschrift in honor of Boris Ioffe, edited by M. Shifman

Cited by in corpus (11)

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• Views of the Chiral Magnetic Effect
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• Kink dynamics, sinh-Gordon solitons and strings in AdS(3) from the Gross-Neveu model
• Stable Fermion Bag Solitons in the Massive Gross-Neveu Model: Inverse Scattering Analysis
• Marginally Stable Topologically Non-Trivial Solitons in the Gross-Neveu Model
• Effective Model Approach to the Dense State of QCD Matter
• Revisiting the spatially inhomogeneous condensates in the $(1+1)$-dimensional chiral Gross-Neveu model via the bosonic two-point function in the infinite-$N$ limit
• Quantum Electrodynamics in Two-Dimensions at Finite Temperature. Thermofield Bosonization Approach
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation