Confinement and chiral condensates in 2-d QED with massive N-flavor fermions

Abstract

We evaluate Polyakov loops and string tension in two-dimensional QED with both massless and massive $N$-flavor fermions at zero and finite temperature. External charges, or external electric fields, induce phases in fermion masses and shift the value of the vacuum angle parameter $\theta$, which in turn alters the chiral condensate. In particular, in the presence of two sources of opposite charges, $q$ and $-q$, the shift in $\theta$ is $2\pi (q/e)$ independent of $N$. The string tension has a cusp singularity at $\theta =\pm \pi$ for $N\ge 2$ and is proportional to $m^{2N/(N+1)}$ at $T=0$.

14 pages. LaTex + 2 postscript figures, uses epsf.sty

References in corpus (16)

• The Massive Multi-flavor Schwinger Model
• Functional Schroedinger Equation for Fermions in External Gauge Fields
• Quark solitons as constituents of hadrons
• Gauge Theories in a Bag
• The massive Schwinger model with $SU(2{)}_f$ on the light cone
• Functional Integral Approach to the N-Flavor Schwinger Model
• QED With Unequal Charges: A study of spontaneous Zn symmetry breaking
• Fractons in Twisted Multiflavor Schwinger Model
• General Correlation Functions in the Schwinger Model at Zero and Finite Temperature
• Topological Zero Modes in Monte Carlo Simulations
• Finite Temperature Correlators in the Schwinger Model
• On the Schwinger Model on Riemann Surfaces
• Instantons and the Ground State of the Massive Schwinger Model
• Delicacies of the Mass Perturbation in the Schwinger Model on a Circle
• Central Charge of the Parallelogram Lattice Strong Coupling Schwinger Model
• Quantum Hamiltonian Reduction of the Schwinger Model

Cited by in corpus (15)

• 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
• Vacuum Structure of Charge k Two-Dimensional QED and Dynamics of an Anti D-String Near an O1- plane
• Comparison of renormalization group schemes for sine-Gordon type models
• Theta vacuum effects on the chiral condensation and the eta^prime meson correlators in the two-flavor massive QED_2 on the lattice
• The String Tension in Two Dimensional Gauge Theories
• On the renormalization of the bosonized multi-flavor Schwinger model
• Massless fermions in multi-flavor QED_2
• Phase Structure and Compactness
• Four-fermion deformations of the massless Schwinger model and confinement
• Anomalous Behavior in the Massive Schwinger Model
• Renormal-order improvement of the Schwinger mass
• The General Correlation Function in the Schwinger Model on a Torus
• Topologically Nontrivial Sectors of the Maxwell Field Theory on Algebraic Curves