Scalar QED${}_2$ with a topological term - a lattice study in a dual representation

Abstract

We present a dual representation for the partition function of 2-dimensional scalar quantum electrodynamics with a topological term ($\theta$-term). In the dual representation the complex action problem at non-zero $\theta$ is absent, which is an obstacle for Monte Carlo simulations in the conventional form of the model. We discuss the technical aspects of the dual representation and show that a dual Monte Carlo simulation can be implemented. As a first application we demonstrate how the $2\pi$-periodicity of physical observables is recovered in a suitable continuum limit.

arXiv commentContribution to LATTICE 2014

References in corpus (2)

• Surface worm algorithm for abelian Gauge-Higgs systems on the lattice
• New developments for dual methods in lattice field theory at non-zero density

Cited by in corpus (6)

• Solving the sign problems of the massless lattice Schwinger model with a dual formulation
• Dual lattice representations for O(N) and CP(N-1) models with a chemical potential
• Dual simulation of the 2d U(1) gauge Higgs model at topological angle $\theta =\pi$: Critical endpoint behavior
• Density of states approach for lattice gauge theory with a $\theta$-term
• Condensation phenomena in two-flavor scalar QED at finite chemical potential
• Density of states techniques for lattice field theories using the functional fit approach (FFA)