Instantons in Four-Fermi Term Broken SUSY with General Potential

Details Instantons in Four-Fermi Term Broken SUSY with General Potential Instantons in Four-Fermi Term Broken SUSY with General Potential

2003-04-03

arxiv.org/abs/hep-th/0304024v1

J.Phys.A37:283,2004

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

10.1088/0305-4470/37/1/020

It is shown how to solve the Euclidean equations of motion of a point particle in a general potential and in the presence of a four-Fermi term. The classical action in this theory depends explicitly on a set of four fermionic collective coordinates. The corrections to the classical action due to the presence of fermions are of topological nature in the sense that they depend only on the values of the fields at the boundary points $\tau \to \pm \infty$. As an application, the Sine-Gordon model with a four-Fermi term is solved explicitly and the corrections to the classical action are computed.

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