CRAFT 发表于 2025-3-25 04:35:55

Grassmann AnalysisDifferentiation and integration of Grassmann variables are introduced. Application is made to Gauss integrals. A second part to exterior algebra follows.

名次后缀 发表于 2025-3-25 09:57:55

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occurrence 发表于 2025-3-25 13:46:20

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SHOCK 发表于 2025-3-25 19:30:10

Two-Dimensional Ising ModelThe solution of the two-dimensional Ising model on the square lattice is presented. The logarithmic divergence of the specific heat at the critical point is derived. The boundary tension in the ordered phase is determined. Duality arguments allow the determination of the exponential decay of the spin-spin correlation in the paramagnetic phase.

probate 发表于 2025-3-25 23:07:40

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exceed 发表于 2025-3-26 00:43:22

Supersymmetric MatricesThe generalization of symmetric and anti-symmetric matrices to supermatrices is introduced. The Gauss integral over both even and odd variables yields the superpfaffian. Orthosymplectic transformations and groups are generalizations of the orthogonal transformations and groups.

以烟熏消毒 发表于 2025-3-26 05:23:15

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allergy 发表于 2025-3-26 08:43:29

Superreal Matrices, Unitary-Orthosymplectic GroupsThere are no real odd elements under the conjugation of the second kind. However, the introduction of pairs of odd elements (spinors) in matrices allows the definition of superreal supermatrices. The corresponding unitary-orthosymplectic group and its pseudo-form are introduced.

转折点 发表于 2025-3-26 14:40:20

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ELUC 发表于 2025-3-26 20:01:33

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查看完整版本: Titlebook: Supermathematics and its Applications in Statistical Physics; Grassmann Variables Franz Wegner Book 2016 Springer-Verlag Berlin Heidelberg