Complex Langevin equations and lattice gauge theory
- 15 July 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 34 (2), 598-604
- https://doi.org/10.1103/physrevd.34.598
Abstract
We consider the use of complex stochastic equations in the evaluation of ensemble averages. For a certain class of functions, it is shown how to relate averages over real parameters to those over complex degrees of freedom. We apply these techniques to the Abelian lattice gauge theory and discuss its extension to the non-Abelian case.Keywords
This publication has 13 references indexed in Scilit:
- Numerical problems in applying the langevin equation to complex effective actionsPhysics Letters B, 1985
- The field distribution in SU(3) lattice gauge theoryPhysics Letters B, 1985
- Langevin simulations of configurations with static chargesPhysics Letters B, 1985
- Complex probabilities and the Langevin equationPhysics Letters B, 1985
- Spin-Dependent Potentials in SU (3) Lattice Gauge TheoryPhysical Review Letters, 1985
- Spectrum of certain non-self-adjoint operators and solutions of Langevin equations with complex driftJournal of Statistical Physics, 1985
- Langevin simulation in Minkowski space?Physics Letters B, 1985
- The Fokker-Planck EquationPublished by Springer Nature ,1984
- String tensions for lattice gauge theories in 2 + 1 dimensionsNuclear Physics B, 1982
- Phase diagram ofand U(1) gauge theories in three dimensionsPhysical Review D, 1980