COMPLEX LANGEVIN FOR SEMISIMPLE COMPACT CONNECTED LIE-GROUPS AND U(1)

Citation
H. Gausterer et H. Thaler, COMPLEX LANGEVIN FOR SEMISIMPLE COMPACT CONNECTED LIE-GROUPS AND U(1), Journal of physics. A, mathematical and general, 31(11), 1998, pp. 2541-2549
Citations number
20
Categorie Soggetti
Physics,"Physycs, Mathematical
ISSN journal
03054470
Volume
31
Issue
11
Year of publication
1998
Pages
2541 - 2549
Database
ISI
SICI code
0305-4470(1998)31:11<2541:CLFSCC>2.0.ZU;2-E
Abstract
Several problems in quantum field theory like QCD at high densities le ad to complex-valued actions S with S : G --> C, where G is some group . Under the assumption that the complex Langevin process converges to a weakly stationary process we discuss the conditions under which it c orrectly simulates expectation values defined by complex weights. For technical reasons the discussion is restricted to (ill) and semisimple compact connected Lie groups like SU(n).