Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP02(2011)057
Keywords
Lattice Gauge Field Theories; Strong Coupling Expansion; Confinement
Categories
Funding
- German BMBF [06MS9150]
- Helmholtz International Center for FAIR
- EU [227431]
- BMBF [06BI9002]
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We derive three-dimensional, Z(N)-symmetric effective actions in terms of Polyakov loops by means of strong coupling expansions, starting from thermal SU(N) Yang-Mills theory in four dimensions on the lattice. An earlier action in the literature, corresponding to the (spatial) strong coupling limit, is thus extended by several higher orders, as well as by additional interaction terms. We provide analytic mappings between the couplings of the effective theory and the parameters N-tau, beta of the original thermal lattice theory, which can be systematically improved. We then investigate the deconfinement transition for the cases SU(2) and SU(3) by means of Monte Carlo simulations of the effective theory. Our effective models correctly reproduce second order 3d Ising and first order phase transitions, respectively. Furthermore, we calculate the critical couplings beta(c)(N-tau) and find agreement with results from simulations of the 4d theory at the few percent level for N-tau = 4 - 16.
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