7–13 May 2017
Sintra, Portugal
Europe/Lisbon timezone

Monte Carlo calculations using the holomorphic gradient flow

9 May 2017, 08:30
30m
Sintra, Portugal

Sintra, Portugal

Hotel Sintra Jardim 30º47'40'' N - 9º 22' 55'' W Quinta Visconde de Tojal Largo Sousa Brandão, nº 1, São Pedro de Sintra 2710-506 Sintra Portugal

Speaker

Andrei Alexandru (The George Washington University)

Description

Questions about quantum field theories at non-zero chemical potential and/or real-time correlators are often impossible to investigate numerically due to the notorious sign problem. A possible solution to this problem is to deform the integration domain for the path integral in the complex plane. We describe a family of such deformations, built using the holomorphic gradient flow, that interpolate between the original integration domain (where the sign problem is severe) and the union of relevant thimbles (where the sign problem is mild but a multimodal probability distribution complicates the Monte Carlo sampling). We show how this works in a fermionic model and for computing real time correlators for a simple thermal quantum field theory.

Author

Andrei Alexandru (The George Washington University)

Presentation materials