Gauge Fixing Condition as Non-Holonomic Constraint in Stochastic Quantization of Non-Abelian Gauge Fields
Open Access
- 1 July 1983
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 70 (1) , 326-329
- https://doi.org/10.1143/ptp.70.326
Abstract
In stochastic quantization of non-Abelian gauge fields, we introduce a sort of non-holonomic constraint working as a covariant gauge fixing condition in the Langevin equation, and show that the new condition kills fictitious time-dependent divergent terms keeping the gauge invariance and the unitarity without help of any ghost field. The procedure also suggests us a possible way of quantizing non-holonomic systems.Keywords
This publication has 2 references indexed in Scilit:
- Stochastic Quantization of Non-Abelian Gauge Field: Unitarity Problem and Faddeev-Popov Ghost EffectsProgress of Theoretical Physics, 1983
- On the Quantum Mechanics-like Description of the Theories of the Brownian Motion and Quantum Statistical MechanicsProgress of Theoretical Physics, 1956