Computing general observables in lattice models with complex actions

19 Jun 2019, 10:20
20m
Shimao 1A+1B

Shimao 1A+1B

Parallel Nonzero Temperature and Density Nonzero Temperature and Density

Speaker

Mr Olmo Francesconi (Swansea University & LPMMC Grenoble)

Description

The study of QFTs at finite density is hindered by the presence of the so-called sign problem. The action definition of such systems is, in fact, complex-valued making standard importance sampling Monte Carlo methods ineffective.
In this work, we shall review the generalized density of states method for complex action systems and the Linear Logarithmic Relaxation algorithm. We will focus on the recent developments regarding the bias control of the LLR method and the evaluation of general observables in the DoS+LLR framework. Recent results on the well-known relativistic Bose gas will be presented, proving that in our approach the phase factor can be consistently evaluated over hundreds of orders of magnitude. A first exploratory study on the Thirring model in the DoS formalism will be presented as well.

Authors

Mr Olmo Francesconi (Swansea University & LPMMC Grenoble) Biagio Lucini (Swansea University) Antonio Rago (University of Plymouth (GB)) Dr Markus Holzmann (LPMMC Grenoble) Dr Jarno Rantaharju (Swansea University)

Presentation materials