Worldline Approach to Chiral Fermions

Details Worldline Approach to Chiral Fermions Worldline Approach to Chiral Fermions

2007-09-28

arxiv.org/abs/0709.4595v1

PoSLAT2007:202,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 2 figures, Presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg,

Scientific paper

We propose to apply ``worldline numerics'' to a numerical calculation of quark determinants. The Gross-Neveu model with a U(1) chiral symmetry is considered as a first test. The worldline approach allows for an analytic renormalisation, and only finite parts of the determinant require a numerical calculation. It is shown that the discretisation of the worldlines, which is central to the numerical treatment, preserves chiral symmetry exactly. Numerical results for a kink configuration as a scalar background field are shown and compared with analytical results. The case of finite fermion chemical potential is also briefly discussed.

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