Grassmann-Gaussian integrals and generalized star products

Details Grassmann-Gaussian integrals and generalized star products Grassmann-Gaussian integrals and generalized star products

2009-04-17

arxiv.org/abs/0904.2683v1

J. Phys. A: Math. Theor. 42 (2009) 304019; LIOUVILLE GRAVITY AND STATISTICAL MODELS, A SPECIAL ISSUE DEDICATED TO THE MEMORY O

Physics

Mathematical Physics

14 pages, 2 figures. In memory of Al.B. Zamolodichikov

Scientific paper

10.1088/1751-8113/42/30/304019

In quantum scattering on networks there is a non-linear composition rule for
on-shell scattering matrices which serves as a replacement for the
multiplicative rule of transfer matrices valid in other physical contexts. In
this article, we show how this composition rule is obtained using Berezin
integration theory with Grassmann variables.

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