Anomalous discrete chiral symmetry in the Gross-Neveu model and loop gas simulations

Details Anomalous discrete chiral symmetry in the Gross-Neveu model and loop gas simulations Anomalous discrete chiral symmetry in the Gross-Neveu model and loop gas simulations

2009-05-27

arxiv.org/abs/0905.4417v2

Nucl.Phys.B822:408-423,2009

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, 1 figure. Typos corrected and a few sentences improved. To appear in Nucl. Phys. B [FS]

Scientific paper

10.1016/j.nuclphysb.2009.06.021

We investigate the discrete chiral transformation of a Majorana fermion on a torus. Depending on the boundary conditions the integration measure can change sign. Taking this anomalous behavior into account we define a chiral order parameter as a ratio of partition functions with differing boundary conditions. Then the lattice realization of the Gross-Neveu model with Wilson fermions is simulated using the recent `worm' technique on the loop gas or all-order hopping representation of the fermions. An algorithm is formulated that includes the Gross-Neveu interaction for N fermion species. The critical line m_c(g) is constructed for a range of couplings at N = 6 and for N = 2, the Thirring model, as examples.

Affiliated with

Also associated with

No associations

Rating

Anomalous discrete chiral symmetry in the Gross-Neveu model and loop gas simulations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Anomalous discrete chiral symmetry in the Gross-Neveu model and loop gas simulations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Anomalous discrete chiral symmetry in the Gross-Neveu model and loop gas simulations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-527727