Caustics in the Grassmann Integral
| Autor: | Tomohiko Sakaguchi, Taro Kashiwa |
|---|---|
| Rok vydání: | 2003 |
| Předmět: |
Physics
High Energy Physics - Theory Physics and Astronomy (miscellaneous) Series (mathematics) Mathematical analysis Order (ring theory) FOS: Physical sciences Coupling (probability) Auxiliary field High Energy Physics - Theory (hep-th) Simple (abstract algebra) Grassmann integral Saddle point Caustic (optics) |
| DOI: | 10.48550/arxiv.hep-th/0301019 |
| Popis: | It is shown that a simple model of 2N-Grassmann variables with a four-body coupling involves caustics when the integral has been converted to a bosonic form with the aid of the auxiliary field. Approximation is then performed to assure validity of the auxiliary field method(AFM). It turns out that even in N=2, the smallest case in which a four-body interaction exists, AFM does work more excellently if higher order effects, given by a series in terms of $1/N^{1/3}$ around a caustic and of 1/N around a saddle point, would be taken into account. Comment: 13 pages, 6 figures and 3 tables |
| Databáze: | OpenAIRE |
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