Finite Temperature Schwinger Model with Chirality Breaking Boundary Conditions

Abstract

The $N_f$-flavour Schwinger Model on a finite space $0\le x^1\le L$ and subject to bag-type boundary-conditions at $x^1=0$ und $x^1=L$ is solved at finite temperature $T=1/\beta$. The boundary conditions depend on a real parameter $\theta$ and break the axial flavour symmetry. We argue that this approach is more appropriate to study the broken phases than introducing small quark masses, since all calculations can be performed analytically. In the imaginary time formalism we determine the thermal correlators for the fermion-fields and the determinant of the Dirac-operator in arbitrary background gauge-fields. We show that the boundary conditions induce a CP-odd $\theta$-term in the effective action. The chiral condensate, and in particular its T- and L- dependence, is calculated for $N_f$ fermions. It is seen to depend on the order in which the two lengths $\beta =1/T$ and $L$ are sent to infinity.

One reference added plus one corrected, final version as to be published in Annals of Physics

References in corpus (14)

• The Massive Multi-flavor Schwinger Model
• Gauge Theories in a Bag
• Functional Integral Approach to the N-Flavor Schwinger Model
• Finite Size Effects from General Covariance and Weyl Anomaly
• Fractons in Twisted Multiflavor Schwinger Model
• Temperature- and Curvature Dependence of the Chiral Symmetry Breaking in 2D Gauge Theories
• Fermionic Determinant of the Massive Schwinger Model
• The interplay between mass, volume, θ, and <\psibarψ> in N-flavor QED_2
• Charge Screening in the Finite Temperature Schwinger Model
• Finite Temperature Correlators in the Schwinger Model
• Vacuum Functional and Fermion Condensate in the Massive Schwinger Model
• Conformal- and Thermodynamic Properties of a Family of Thirring-like Models
• The Invariant Fermion Correlator in the Schwinger Model on the Torus
• How well do lattice simulations reproduce the different aspects of the geometric Schwinger model

Cited by in corpus (12)

• Bosonized Massive N-flavor Schwinger Model
• Strong ellipticity and spectral properties of chiral bag boundary conditions
• Aspects of Quasi-Phasestructure of the Schwinger Model on a Cylinder with Broken Chiral Symmetry
• Spectral asymmetry for bag boundary conditions
• Entanglement in massive Schwinger model at finite temperature and density
• Stability theorems for chiral bag boundary conditions
• Fermion Pairing and the Scalar Boson of the 2D Conformal Anomaly
• Sum Rules for the Dirac Spectrum of the Schwinger Model
• Heat Kernel, Spectral Functions and Anomalies in Weyl Semimetals
• Spectral asymmetry on the ball and asymptotics of the asymmetry kernel
• IR-Divergence and Anomalous Temperature Dependence of the Condensate in the Quenched Schwinger Model
• Schwinger model on a half-line