Strong Coupling Lattice Schwinger Model on Large Spherelike Lattices

Abstract

The lattice regularized Schwinger model for one fermion flavor and in the strong coupling limit is studied through its equivalent representation as a restricted 8-vertex model. The Monte Carlo simulation on lattices with torus-topology is handicapped by a severe non-ergodicity of the updating algorithm; introducing lattices with spherelike topology avoids this problem. We present a large scale study leading to the identification of a critical point with critical exponent $\nu =1$, in the universality class of the Ising model or, equivalently, the lattice model of free fermions.

16 pages + 7 figures, gzipped POSTSCRIPT file

References in corpus (2)

• Renormalization Group Analysis of Finite-Size Scaling in the ${\Phi }_4^4$ Model
• Lee-Yang zeroes in the one flavour massive lattice Schwinger model

Cited by in corpus (20)

• Grassmann Tensor Renormalization Group Approach to One-Flavor Lattice Schwinger Model
• Berezinskii-Kosterlitz-Thouless transition in lattice Schwinger model with one flavor of Wilson fermion
• Massive Schwinger model within mass perturbation theory
• Non-Gaussian fixed point in four-dimensional pure compact U(1) gauge theory on the lattice
• Solving the sign problems of the massless lattice Schwinger model with a dual formulation
• Efficient simulation of relativistic fermions via vertex models
• Four-dimensional pure compact U(1) gauge theory on a spherical lattice
• Universality of the Ising Model on Sphere-like Lattices
• Simulation strategies for the massless lattice Schwinger model in the dual formulation
• The lattice Schwinger model as a discrete sum of filled Wilson loops
• Loop representation for 2-D Wilson lattice fermions in a scalar background field
• Fermion loop simulation of the lattice Gross-Neveu model
• Normalization of the chiral condensate in the massive Schwinger model
• Chiral symmetry in the 2-flavour lattice Schwinger model
• The exact equivalence of the two-flavour strong coupling lattice Schwinger model with Wilson fermions to a vertex model
• Critical Behavior of the Schwinger Model with Wilson Fermions
• Renormal-order improvement of the Schwinger mass
• Dual simulation of the massless lattice Schwinger model with topological term and non-zero chemical potential
• Some approximate analytical methods in the study of the self-avoiding loop model with variable bending rigidity and the critical behaviour of the strong coupling lattice Schwinger model with Wilson fermions
• The Phase Diagrams of the Schwinger and Gross-Neveu Models with Wilson Fermions