Meson-fermion PV-interaction in the Thirring model II
Tóm tắt
The Thirring model completed by a meson-fermion PV-coupling is discussed from the point of view of renormalization. It is shown that in the perturbative approach theS-matrix contains unrenormalizable divergences coming from the PV-part. For the renormalization of the PV-part the (neutrino-like)n-fermionm-meson Green’s functions of the PS(PV)-theory are examined in a non-perturbative approach. The propagators can be made finite byZ
2 renormalization. After having calculated the exact Green’s functions it is easily seen that just as in the S(V)-theory there are no physical effects. Our results which are exact in one dimension have only approximate validity in the real four-dimensional case. The approximation means omission of all the closed vacuum loops.
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