# The 35th International Symposium on Lattice Field Theory

18-24 June 2017
Palacio de Congresos
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# Contribution Parallel

Andalucía I
Theoretical Developments

# Positive Representations of a Class of Complex, Periodic Measures

• Jacek WOSIEK

## Content

A positive representation for a sample 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 concrete realisations are proposed. Their performance is illustrated in few concrete examples representing problems in abelian lattice gauge theories.

## Preferred track (if multiple tracks have been selected)

Theoretical Developments