Back to Search
Start Over
Progress in numerical simulations of systems with a $\theta-$vacuum like term: The two and three-dimensional Ising model within an imaginary magnetic field
- Source :
- Nucl.Phys.B851 (2011), 420
- Publication Year :
- 2011
-
Abstract
- 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.<br />Comment: 21 pages, 15 figures. v2 added affiliation of the authors, corrected typos, largely improved presentation, corrected some plots. To be published in Nuclear Physics B
- Subjects :
- High Energy Physics - Lattice
Condensed Matter - Statistical Mechanics
Subjects
Details
- Database :
- arXiv
- Journal :
- Nucl.Phys.B851 (2011), 420
- Publication Type :
- Report
- Accession number :
- edsarx.1105.1020
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.nuclphysb.2011.05.023