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Exact effective action for fermions in one dimension with backscattering at a boundary

Manuel Fuentes·Ana Lopez·Eduardo Fradkin
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Abstract

We report exact results for the partition function for free Dirac fermions on a half line with physically sensible boundary conditions. An exact effective action for general backscattering amplitudes is derived. The action also includes the effects of both a (time-dependent) forward scattering amplitude and a dynamical chiral twist of the fermion boundary conditions. For a small backscattering amplitude, the effective action has the expected boundary Sine-Gordon form. We discuss applications of our results to one-dimensional Fermi systems with local backscattering.

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Manuel Fuentes, Ana Lopez, Eduardo Fradkin. 1995-06-13. Exact effective action for fermions in one dimension with backscattering at a boundary. https://doi.org/10.1103/physrevb.53.16568

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