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

Physical Review D
 Pub Date:
 May 2013
 DOI:
 10.1103/PhysRevD.87.094509
 arXiv:
 arXiv:1302.2249
 Bibcode:
 2013PhRvD..87i4509P
 Keywords:

 05.50.+q;
 71.10.Fd;
 Lattice theory and statistics;
 Lattice fermion models;
 High Energy Physics  Lattice;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 11 pages, 9 figures