Complex Langevin Equations and Lattice Gauge Theory

Apr 29, 1986
25 pages
Published in:
  • Phys.Rev.D 34 (1986) 598
Report number:
  • CALT-68-1339

Citations per year

1986199520042013202202468
Abstract: (APS)
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.
  • LATTICE FIELD THEORY: TWO-DIMENSIONAL
  • LATTICE FIELD THEORY: THREE-DIMENSIONAL
  • GAUGE FIELD THEORY: U(1)
  • GAUGE FIELD THEORY: SU(2)
  • LANGEVIN EQUATION
  • numerical methods: Monte Carlo