Anomalous Behavior in the Massive Schwinger Model

Abstract

We evaluate the chiral condensate and Polyakov loop in two-dimensional QED with a fermion of an arbitrary mass ($m$). We find discontinuous $m$ dependence in the chiral condensate and anomalous temperature dependence in Polyakov loops when the vacuum angle $\theta$$\sim$$\pi$ and $m$=O($e$). These nonperturbative phenomena are due to the bifurcation process in the solutions to the vacuum eigenvalue equation.

14 pages. LaTex with epsf.sty. 6 ps figures included

References in corpus (10)

• Screening vs. Confinement in 1+1 Dimensions
• The Massive Multi-flavor Schwinger Model
• Quark solitons as constituents of hadrons
• The massive Schwinger model with $SU(2{)}_f$ on the light cone
• QED With Unequal Charges: A study of spontaneous Zn symmetry breaking
• Confinement and chiral condensates in 2-d QED with massive N-flavor fermions
• The interplay between mass, volume, θ, and <\psibarψ> in N-flavor QED_2
• Instantons and the Ground State of the Massive Schwinger Model
• Delicacies of the Mass Perturbation in the Schwinger Model on a Circle
• The Phase Structure of the Schwinger Model on the Lattice with Wilson Fermions in the Hartree-Fock Approximation

Cited by in corpus (7)

• Real-time simulation of the Schwinger effect with Matrix Product States
• Hamiltonian simulation of the Schwinger model at finite temperature
• Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks
• Bosonized Massive N-flavor Schwinger Model
• On the renormalization of the bosonized multi-flavor Schwinger model
• Normalization of the chiral condensate in the massive Schwinger model
• Renormal-order improvement of the Schwinger mass