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arXiv · 0709.4595

Worldline Approach to Chiral Fermions

Kurt Langfeld·Gerald Dunne·Holger Gies·Klaus Klingmuller
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Abstract

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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Kurt Langfeld, Gerald Dunne, Holger Gies, Klaus Klingmuller. 2007-09-28. Worldline Approach to Chiral Fermions. https://arxiv.org/abs/0709.4595

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