24-30 July 2016
Highfield Campus, University of Southampton
Europe/London timezone

Simulating thimble regularization of lattice quantum field theories (including LGT)

27 Jul 2016, 10:00
20m
Building 32 Room 1015 (Highfield Campus, University of Southampton)

Building 32 Room 1015

Highfield Campus, University of Southampton

Talk Nonzero Temperature and Density Nonzero Temperature and Density

Speaker

Dr Francesco Di Renzo (University of Parma & INFN)

Description

Monte Carlo simulations of lattice quantum field theories on Lefschetz thimbles are non trivial. We discuss a new Monte Carlo algorithm based on the idea of computing contributions to the functional integral which come from complete flow lines. The latter are the steepest ascent paths attached to critical points, i.e. the basic building blocks of thimbles. The measure to sample is thus dictated by the contribution of complete flow lines to the partition function. The algorithm is based on a heat bath sampling of the gaussian approximation of the thimble: this defines the proposals for a Metropolis-like accept/reject step. The effectiveness of the algorithm has been tested on a few models, e.g. the chiral random matrix model. We also discuss thimble regularization of gauge theories, and in particular the successfull application to 0+1 dimensional QCD and the status and prospects for Yang-Mills theories.

Primary author

Dr Francesco Di Renzo (University of Parma & INFN)

Co-author

Mr Giovanni Eruzzi (University of Parma and INFN)

Presentation Materials