Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2011-05-05
Nucl.Phys.B851 (2011), 420
Physics
High Energy Physics
High Energy Physics - Lattice
21 pages, 15 figures. v2 added affiliation of the authors, corrected typos, largely improved presentation, corrected some plot
Scientific paper
10.1016/j.nuclphysb.2011.05.023
Using the approach developed in \cite{REFVIC2}, we succeeded in reconstructing the behaviour of the antiferromagnetic Ising model with imaginary magnetic field $i\theta$ for two and three dimensions in the low temperature regime. A mean-field calculation, expected to work well for high dimensions, is also carried out, and the mean-field results coincide qualitatively with those of the two- and three-dimensional Ising model. The mean field analysis reveals also a phase structure more complex than the one expected for $QCD$ with a topological $\theta-$therm.
Azcoiti Vicente
Follana Eduardo
Vaquero Alejandro
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