出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：Understanding the property of the phase of quark determinant is crucial to control the sign problem in lattice QCD with finite chemical potential. So far the phase has been studied mainly by two approaches: The first one is on the lattice [1, 2, 3, 4] and there, the Taylor expansion is used to calculate the phase. Its convergence range, however, is rather restricted to a narrow region, m=T < 1. The other approach is the effective theory or the random matrix model [5, 6, 7, 8]. Near the phase transition, the low energy effective theories may not be reliable. To survey such a region, it is imperative to work within the first principle framework of QCD itself. In this context, our motivation here is to obtain and understand the phase of the determinant more precisely, and irrespective of the location of the phase diagram. Especially, we are interested in the low T and high m region. Some details and definition of undefined quantity are given in [9].
