The Berezin integral is a concept from mathematical physics, particularly in the field of supersymmetry and quantum mechanics. It is a type of integral used for integrating functions of Grassmann variables, which are anticommuting variables that the Berezin calculus is built around. Grassmann variables play a fundamental role in the formulation of supersymmetry, where they are used to describe fermionic fields or states.
Articles by others on the same topic
The Berezin integral is differentiation with respect to a Grassmann variable: and . A finite-dimensional fermionic Gaussian integral gives a determinant or Pfaffian.