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Anomalous processes at high temperature and density in a 2-dimensional linear $sigma$ model | | F. Gelis
; M.H.G. Tytgat
; | | Date: |
25 Feb 2000 | | Journal: | Phys.Rev. D63 (2001) 016001 | | Subject: | hep-ph | | Affiliation: | BNL), M.H.G. Tytgat (CERN | | Abstract: | We use the 2-dimensional $sigma$ model as a toy model to study the behavior of anomalous amplitudes in the limit where the constituent quark mass is small. Symmetry arguments tell that the $pi^o ogamma$ amplitude should vanish if $m o 0$, but we show that this conclusion is spoiled by infrared singularities. When a proper regularization (resummation of a thermal mass, for instance) is taken into account, this amplitude vanishes as expected. We also study the amplitude $pi^osigma ogamma$ and show that it does not vanish in the same limit. | | Source: | arXiv, hep-ph/0002270 | | Services: | Forum | Review | PDF | Favorites | |
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