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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 6: Nonperturbative QFT and Strong Fields

MP 6.2: Talk

Wednesday, March 21, 2018, 14:20–14:40, Z6 - SR 1.012

Dualization of Four-Fermion Theories — •Julian Lenz, Björn Wellegehausen, and Andreas Wipf — Theoretisch-physikalisches Institut, FSU Jena, Germany

Four-fermion theories arise as effective theories in solid state physics (e.g. graphene, superconductors) and serve as a toy model for chiral symmetry breaking. They are perturbatively non-renormalizable and strongly coupled, such that non-pertubative methods are required to investigate their properties. Our method of choice are lattice simulations, which for these theories suffer from a fermion sign problem, making standard Monte-Carlo methods inefficient. In the talk we present a dualization of Gross-Neveu- and Thirring-like theories to tackle the sign problem and develop efficient algorithms for lattice simulations.