English

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

High Energy Physics - Lattice 2013-11-11 v1

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.

Keywords

Cite

@article{arxiv.1311.1966,
  title  = {Solving the sign problem of two flavor scalar electrodynamics at finite chemical potential},
  author = {Ydalia Delgado Mercado and Christof Gattringer and Alexander Schmidt},
  journal= {arXiv preprint arXiv:1311.1966},
  year   = {2013}
}

Comments

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