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Instanton-Sphaleron transition in the d = 2 Abelian-Higgs model on a Circle | | D.K. Park
; H. J. W. Müller-Kirsten
; J.-Q. Liang
; A. V. Shurgaia
; | | Date: |
23 May 2000 | | Journal: | Int.J.Mod.Phys. A16 (2001) 3951-3966 | | Subject: | hep-th | | Abstract: | 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. | | Source: | arXiv, hep-th/0005207 | | Services: | Forum | Review | PDF | Favorites | |
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