Topological Yang-Mills field theory as the stochastic quantization of Chern-Simons gauge theory

Journal Article · Tue Aug 15 04:00:00 EDT 1989 · Physical Review (Section) D: Particles and Fields; (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.1301· OSTI ID:5540110

Yu, Y ^[1]

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1. Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing, People's Republic of China (CN) Institute of High Energy Physics, Academia Sinica, P.O. Box 918(4), Beijing, People's Republic of China

I present a procedure of stochastic quantization of the Chern-Simons gauge field theory on a three-manifold for two cases in which the dimensions of a four-dimensional instanton moduli space are either zero or nonzero. The equivalence of the topological quantum Yang-Mills field theory and the expression of the stochastic quantization of the three-dimensional Chern-Simons gauge field theory is proved. The results of the stochastic quantization may be closely related to the generalized form of the Morse theory.

• OSTI ID: 5540110
• Journal Information: Physical Review (Section) D: Particles and Fields; (USA), Journal Name: Physical Review (Section) D: Particles and Fields; (USA) Vol. 40:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EQUATIONS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LANGEVIN EQUATION
MATHEMATICS
QUANTIZATION
QUANTUM FIELD THEORY
SCALAR FIELDS
STOCHASTIC PROCESSES
THREE-DIMENSIONAL CALCULATIONS
TOPOLOGY
YANG-MILLS THEORY