Complex Langevin Simulations of QCD at Finite Density – Progress Report

Autor: Sinclair D. K., Kogut J. B.
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: EPJ Web of Conferences, Vol 175, p 07031 (2018)
Druh dokumentu: article
ISSN: 2100-014X
28240928
DOI: 10.1051/epjconf/201817507031
Popis: We simulate lattice QCD at finite quark-number chemical potential to study nuclear matter, using the complex Langevin equation (CLE). The CLE is used because the fermion determinant is complex so that standard methods relying on importance sampling fail. Adaptive methods and gauge-cooling are used to prevent runaway solutions. Even then, the CLE is not guaranteed to give correct results. We are therefore performing extensive testing to determine under what, if any, conditions we can achieve reliable results. Our earlier simulations at β = 6/g2 = 5.6, m = 0.025 on a 124 lattice reproduced the expected phase structure but failed in the details. Our current simulations at β = 5.7 on a 164 lattice fail in similar ways while showing some improvement. We are therefore moving to even weaker couplings to see if the CLE might produce the correct results in the continuum (weak-coupling) limit, or, if it still fails, whether it might reproduce the results of the phase-quenched theory. We also discuss action (and other dynamics) modifications which might improve the performance of the CLE.
Databáze: Directory of Open Access Journals