Masahiro Imachi, Yasuhiko Shinno, Hiroshi Yoneyama, “Lattice Field Theory with the Sign Problem and the Maximum Entropy Method”, SIGMA, 2007, Volume 3,018, 7 pp.

Lattice Field Theory with the Sign Problem and the Maximum Entropy Method

Masahiro Imachi^a, Yasuhiko Shinno^b, Hiroshi Yoneyama^c

^a Kashiidai, Higashi-ku, Fukuoka, 813-0014, Japan
^b Takamatsu National College of Technology, Takamatsu 761-8058, Japan
^c Department of Physics, Saga University, Saga, 840-8502, Japan

Abstract: Although numerical simulation in lattice field theory is one of the most effective tools to study non-perturbative properties of field theories, it faces serious obstacles coming from the sign problem in some theories such as finite density QCD and lattice field theory with the $\theta$ term. We reconsider this problem from the point of view of the maximum entropy method.

Keywords: lattice field theory; sign problem; maximum entropy method.

MSC: 65C05; 65C50; 68U20; 81T25; 81T80

Received: September 30, 2006; in final form January 19, 2007; Published online February 5, 2007

Language: English

DOI: 10.3842/SIGMA.2007.018