English

Thirring model at finite density in 2+1 dimensions with stochastic quantization

High Energy Physics - Lattice 2013-05-23 v2 High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

We consider a generalization of the Thirring model in 2+1 dimensions at finite density. We employ stochastic quantization and check for the applicability in the finite density case to circumvent the sign problem. To this end we derive analytical results in the heavy dense limit and compare with numerical ones obtained from a complex Langevin evolution. Furthermore we make use of indirect indicators to check for incorrect convergence of the underlying complex Langevin evolution. The method allows the numerical evaluation of observables at arbitrary values of the chemical potential. We evaluate the results and compare to the (0+1)-dimensional case.

Keywords

Cite

@article{arxiv.1302.2249,
  title  = {Thirring model at finite density in 2+1 dimensions with stochastic quantization},
  author = {Jan M. Pawlowski and Christian Zielinski},
  journal= {arXiv preprint arXiv:1302.2249},
  year   = {2013}
}

Comments

11 pages, 9 figures; v2: published version with changed title, additional clarifications, corrected typos and added references

R2 v1 2026-06-21T23:23:39.366Z