Stochastic quantization in field theory with a fundamental mass

Journal Article · Fri Aug 01 00:00:00 EDT 1986 · Theor. Math. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01017762· OSTI ID:6994060

Petriashvili, G G

Stochastic quantization of fermions is developed in the framework of quantum field theory with non-Euclidean momentum space. Analogs of the Langevin and Fokker-Planck equations taking into account the new geometrical properties of the momentum space are obtained by using Grassmann variables to describe the non-Euclidean Fermi fields. It is shown that the stochastic method and the second-quantization method are equivalent in path-integral terms.

• Research Organization: V.I. Lenin Geolgian Polytechnic Institute
• OSTI ID: 6994060
• Journal Information: Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 66:2; ISSN TMPHA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL EQUATIONS
EQUATIONS
FERMIONS
FIELD THEORIES
FOKKER-PLANCK EQUATION
GEOMETRY
LANGEVIN EQUATION
LOBACHEVSKY GEOMETRY
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTIZATION
QUANTUM FIELD THEORY
STOCHASTIC PROCESSES