23–28 Jun 2014
Columbia University
US/Eastern timezone

An algorithm for thimble regularization of lattice field theories (and possibly not only for that)

27 Jun 2014, 14:15
20m
203 Math

203 Math

Talk Algorithms and Machines Algorithms and Machines

Speaker

Dr Francesco Di Renzo (University of Parma and INFN)

Description

In the context of thimble regularization of lattice field theories we are developing a new simulation algorithm. The main difficulty is to devise a sampling of configurations on a non-trivial manifold, which is defined as the hypersurface formed by the union of all paths of steepest descent of the complex action ending in a given saddle point. The main point with the new algorithm is the one-to-one correspondence of configurations and action values on a given steepest descent curve, which can in turn be seen as a steepest ascent if one changes the sign of the "time" variable. We discuss the possible extensions of the algorithm to more general field theories. In the context of Lattice QCD the possible main advantage could be a mitigation of the problems connected to different topological sectors.

Primary authors

Dr Eruzzi Giovanni (University of Parma and INFN) Dr Francesco Di Renzo (University of Parma and INFN)

Co-author

Dr Michele Brambilla (Università di Parma and INFN)

Presentation materials