Evading the sign problem in the mean-field approximation through Lefschetz-thimble path integral
Apr 12, 2015
6 pages
Published in:
- Phys.Rev.D 91 (2015) 10, 101701
- Published: May 27, 2015
e-Print:
- 1504.02979 [hep-th]
Report number:
- RIKEN-QHP-183,
- BI-TP-2015-07,
- YITP-15-26,
- RIKEN-STAMP-2
View in:
Citations per year
Abstract: (APS)
The fermion sign problem appearing in the mean-field approximation is considered, and the systematic computational scheme of the free energy is devised by using the Lefschetz-thimble method. We show that the Lefschetz-thimble method respects the reflection symmetry, which makes physical quantities manifestly real at any order of approximations using complex saddle points. The formula is demonstrated through the Airy integral as an example, and its application to the Polyakov-loop effective model of dense QCD is discussed in detail.Note:
- 6 pages, 1 figure, typos corrected
- 11.30.Rd
- 12.40.-y
- 21.65.Qr
- 25.75.Nq
- symmetry: reflection
- mean field approximation
- quantum chromodynamics
- path integral
- Polyakov loop
- free energy
References(0)
Figures(1)
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