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

CRAFT

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

名次后綴

occurrence

SHOCK

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

exceed

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.

以煙熏消毒

allergy

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.

轉(zhuǎn)折點

ELUC