Stochastic quantization of the Chern-Simons theory

Journal Article · Sun Nov 15 04:00:00 EST 1992 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1016/0003-4916(92)90325-G· OSTI ID:6877804

Cugliandolo, L F ^[1]; Rossini, G L; Schaposnik, F A ^[2]

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1. Universita di Roma, Rome (Italy)
2. Universidad Nacional de La Plata (Argentina)

The authors discuss stochastic quantization of d = 3 dimensional non-Abelian Chern-Simons theory. They demonstrate that the introduction of an appropriate regulator in the Langevin equation yields a well-defined equilibrium limit, thus leading to the correct propagator. They also analyze the connection between d = 3 Chern-Simons and d = 4 topological Yang-Mills theories, showing the equivalence between the corresponding regularized partition functions. Finally, they discuss the introduction of a non-trivial kernel as an alternative regularization. 29 refs., 2 figs., 1 tab.

• OSTI ID: 6877804
• Journal Information: Annals of Physics (New York); (United States), Journal Name: Annals of Physics (New York); (United States) Vol. 220:1; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EQUATIONS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
FUNCTIONS
KERNELS
LANGEVIN EQUATION
MATHEMATICS
PARTITION FUNCTIONS
PROPAGATOR
QUANTIZATION
QUANTUM FIELD THEORY
STOCHASTIC PROCESSES
THREE-DIMENSIONAL CALCULATIONS
TOPOLOGY