Beyond Complex Langevin Equations: positive representation of a class of complex measures

Abstract

A positive representation for a set of complex densities is constructed. In particular, complex measures on a direct product of U(1) groups are studied. After identifying general conditions which such representations should satisfy, several explicit realizations are proposed. Their utility is illustrated in few concrete examples representing problems in abelian lattice gauge theories.

10 pages, 3 figures

References in corpus (4)

• Beyond Complex Langevin Equations: positive representation of a class of complex measures
• Explicit positive representation for weights on $R^d$
• Representation of complex probabilities and complex Gibbs sampling
• Satisfying positivity requirement in the Beyond Complex Langevin approach

Cited by in corpus (5)

• Beyond Complex Langevin Equations: positive representation of a class of complex measures
• Positive representations of complex distributions on groups
• Representation of complex probabilities and complex Gibbs sampling
• On the validity of complex Langevin method for path integral computations
• Beyond Complex Langevin Equations: a Progress Report