Grassmann Integral Topological Invariants

Details Grassmann Integral Topological Invariants Grassmann Integral Topological Invariants

1992-12-22

arxiv.org/abs/hep-th/9212133v1

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, plain TeX, 8 Figures (upon request), PRA-HEP-92/7

Scientific paper

Partition functions of some two-dimensional statistical models can be represented by means of Grassmann integrals over loops living on two-dimensional torus. It is shown that those Grassmann integrals are topological invariants, which depend only on the winding numbers of the loops. The fact makes possible to evaluate the partition functions of the models and the statistical mean values of certain topological characteristics (indices) of the configurations, which behave as the (topological) order parameters.

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