Grassmann-Gaussian integrals and generalized star products
arXiv:0904.2683 · doi:10.1088/1751-8113/42/30/304019
Abstract
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.
14 pages, 2 figures. In memory of Al.B. Zamolodichikov
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- Direct computation of scattering matrices for general quantum graphs
- Network Models: Action formulation
- A matrix model for strings beyond the c=1 barrier: the spin-s Heisenberg model on random surfaces
- On the equivalence of probability spaces