arXiv 1302.22492013-02hep-lathep-phhep-th

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

Jan M. Pawlowski, Christian Zielinski

备注：: 11 pages, 9 figures; v2: published version with changed title, additional clarifications, corrected typos and added references
发表信息：: Phys.Rev.D87:094509,2013
DOI：: 10.1103/PhysRevD.87.094509

英文摘要：

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.

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