# Evading the sign problem in the mean-field approximation through Lefschetz-thimble path integral

Tanizaki Y, Nishimura H, Kashiwa K (2015)
Physical Review D 91(10).

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
Autor
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Abstract / Bemerkung
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.
Erscheinungsjahr
Zeitschriftentitel
Physical Review D
Band
91
Zeitschriftennummer
10
ISSN
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### Zitieren

Tanizaki Y, Nishimura H, Kashiwa K. Evading the sign problem in the mean-field approximation through Lefschetz-thimble path integral. Physical Review D. 2015;91(10).
Tanizaki, Y., Nishimura, H., & Kashiwa, K. (2015). Evading the sign problem in the mean-field approximation through Lefschetz-thimble path integral. Physical Review D, 91(10). doi:10.1103/PhysRevD.91.101701
Tanizaki, Y., Nishimura, H., and Kashiwa, K. (2015). Evading the sign problem in the mean-field approximation through Lefschetz-thimble path integral. Physical Review D 91.
Tanizaki, Y., Nishimura, H., & Kashiwa, K., 2015. Evading the sign problem in the mean-field approximation through Lefschetz-thimble path integral. Physical Review D, 91(10).
Y. Tanizaki, H. Nishimura, and K. Kashiwa, “Evading the sign problem in the mean-field approximation through Lefschetz-thimble path integral”, Physical Review D, vol. 91, 2015.
Tanizaki, Y., Nishimura, H., Kashiwa, K.: Evading the sign problem in the mean-field approximation through Lefschetz-thimble path integral. Physical Review D. 91, (2015).
Tanizaki, Yuya, Nishimura, Hiromichi, and Kashiwa, Kouji. “Evading the sign problem in the mean-field approximation through Lefschetz-thimble path integral”. Physical Review D 91.10 (2015).

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### Quellen

arXiv: 1504.02979

Inspire: 1359295