Solving the sign problem of two flavor scalar electrodynamics at finite chemical potential

Abstract

We explore two flavor scalar electrodynamics on the lattice, which has a complex phase problem at finite chemical potential. By rewriting the action in terms of dual variables this complex phase problem can be solved exactly. The dual variables are link- and plaquette occupation numbers, subject to local constraints that have to be respected by the Monte Carlo algorithm. For the simulation we use a local update as well as the newly developed "surface worm algorithm", which is a generalization of the Prokof'ev Svistunov worm algorithm concept for simulating the dual representation of abelian Gauge-Higgs models on a lattice. We assess the performance of the two algorithms, present results for the phase diagram and discuss condensation phenomena.

presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, Germany

References in corpus (5)

• Simulating full QCD at nonzero density using the complex Langevin equation
• The density of states in gauge theories
• Complex Langevin dynamics and other approaches at finite chemical potential
• Four-dimensional CP${}^1+$ U(1) lattice gauge theory for 3D antiferromagnets: Phase structure, gauge bosons and spin liquid
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Cited by in corpus (2)

• New developments for dual methods in lattice field theory at non-zero density
• Condensation phenomena in two-flavor scalar QED at finite chemical potential