Tackling the sign problem with a moment expansion and application to Heavy dense QCD

Garron, Nicolas ORCID: 0000-0002-4428-3984 and Langfeld, Kurt ORCID: 0000-0002-4368-3580 (2016) Tackling the sign problem with a moment expansion and application to Heavy dense QCD. In: Lattice 2016.

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Abstract

Heavy-Dense QCD (HDQCD) is a popular theory to investigate the sign problem in quantum field theory. Besides its physical applications, HDQCD is relatively easy to implement numerically: the fermionic degrees of freedom are integrated out, and the fermion determinant factorises into local ones. The theory has a sign problem, the severeness of which depends on the value of the chemical potential, which makes this theory ideal to test the reach of new algorithms. We use the LLR approach to obtain the probability distribution of the phase of the fermion determinant. Our goal is the calculation of the phase factor expectation value, which appears as Fourier transform of this probability distribution. We here propose a new and systematic moment expansion for this phase factor. We compare the answer from the moment expansion order by order with the exact answer. We find that this expansion converge quickly and works very well in the strong sign problem region.

Item Type:	Conference or Workshop Item (Unspecified)
Additional Information:	based on a talk given by N.G. at 34th annual International Symposium on Lattice Field Theory 24-30 July 2016 University of Southampton, UK
Uncontrolled Keywords:	hep-lat, hep-lat
Depositing User:	Symplectic Admin
Date Deposited:	12 Dec 2016 09:49
Last Modified:	19 Jan 2023 07:24
Related URLs:	Author
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3004815