Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-05-23
Int.J.Mod.Phys. A16 (2001) 3951-3966
Physics
High Energy Physics
High Energy Physics - Theory
revtex, 16 pages, 4 figures. version to appear in International J. of Modern Physics A
Scientific paper
10.1142/S0217751X01005055
The transition from the instanton-dominated quantum regime to the sphaleron-dominated classical regime is studied in the $d=2$ abelian-Higgs model when the spatial coordinate is compactified to $S^1$. Contrary to the noncompactified case, this model allows both sharp first-order and smooth second-order transitions depending on the size of the circle. This finding may make the model a useful toy model for the analysis of baryon number violating processes. Since the model can to a large extent be treated analytically, it can also serve as a transparent prototype for the application of our method to more complicated cases, such as those in higher dimensions.
Liang Jing-Qiu
Müller-Kirsten Harald J. W.
Park Dae Kil
Shurgaia A. V.
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