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- W2034981775 abstract "The dynamics of two interacting Thirring fields has been investigated within the dimensional regularization framework. The coupling constants are renormalized in the same way as observed in the non-perturbative approach of Ansel'm et al. (1959). Functions beta i(g1, g2, g3) and gamma i(g1, g2, g3), pertaining to the stability and anomalous behaviour of the problem, are computed up to third order in the coupling parameters. With the help of these, subsidiary non-linear differential equations of the renormalization group are studied in 2- epsilon dimension. The results show up some peculiar features of the theory: a zero of beta i(g1, g2, g3) corresponding to g2 approximately= alpha square root epsilon , a characteristic of phi 3 theory. The scale invariant limit is reached when g2 to 0 (i.e. the two Thirring fields are decoupled) and also when g1=xg2=g3, where x is a root of 2x3+2x2-1=0. The branch-point zero makes the transition to the epsilon to 0 limit non-unique. The anomalous dimensions are obtained and seen to match that of the Dashen-Frishman model. The existence of a non-trivial scale invariant limit distinguishes the model from many simple field theories." @default.
- W2034981775 created "2016-06-24" @default.
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- W2034981775 date "1976-07-01" @default.
- W2034981775 modified "2023-09-27" @default.
- W2034981775 title "Renormalization group equation for interacting Thirring fields in dimensional regularization scheme" @default.
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- W2034981775 doi "https://doi.org/10.1088/0305-4470/9/7/022" @default.
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