Abstract
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 (LLR). 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.
Publication Date
2019-12-09
Publication Title
Proceedings of Science
Volume
363
Embargo Period
2022-01-21
Organisational Unit
School of Engineering, Computing and Mathematics
Recommended Citation
Francesconi, O., Holzmann, M., Lucini, B., Rago, A., & Rantaharju, J. (2019) 'Computing general observables in lattice models with complex actions', Proceedings of Science, 363. Retrieved from https://pearl.plymouth.ac.uk/secam-research/268
