# 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

# Convergent expansions for lattice models with and without sign problem

## Speakers

• Dr. Vasily SAZONOV

## Content

The positivity of the Boltzmann weight, needed for its probabilistic interpretation and for the application of the Monte Carlo method is absent for theories with complex actions. We propose avoiding the latter problem substituting Monte Carlo simulations by computations with convergent 'non-perturbative' expansions. We discuss constructions of such expansions and first numerical results on the examples of $phi^4$-model at zero/non-zero chemical potential and lattice QED.

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

Theoretical Developments