Inverse MonteCarlo determination of effective lattice models for SU(3) Yang-Mills theory at finite temperature
Abstract
This paper concludes our efforts in describing SU(3)-Yang-Mills theories at different couplings/temperatures in terms of effective Polyakov-loop models. The associated effective couplings are determined through an inverse Monte Carlo procedure based on novel Schwinger-Dyson equations that employ the symmetries of the Haar measure. Because of the first-order nature of the phase transition we encounter a fine-tuning problem in reproducing the correct behavior of the Polyakov-loop from the effective models. The problem remains under control as long as the number of effective couplings is sufficiently small.
- Publication:
-
Physical Review D
- Pub Date:
- October 2007
- DOI:
- 10.1103/PhysRevD.76.085004
- arXiv:
- arXiv:0704.2570
- Bibcode:
- 2007PhRvD..76h5004W
- Keywords:
-
- 11.15.Ha;
- 11.10.Wx;
- 11.15.Me;
- 12.40.Ee;
- Lattice gauge theory;
- Finite-temperature field theory;
- Strong-coupling expansions;
- Statistical models;
- High Energy Physics - Lattice;
- High Energy Physics - Theory
- E-Print:
- 10 pages, 7 figures