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On Thirring's two-dimensional model

Technical Report ·
OSTI ID:4310841
The diagram with four external lines in a two-dimensional nonlinear fermion theory, analogous to Thirring's model, is calculated to the second order of perturbation theory. It is shown that the corresponding S matrix element contains no ultraviolet divergences and that the coupling constant is not subject to renormalization. An improved expression for the matrix element for the scattering of two particles is obtained by means of the renormalization group method and is very similar to the corresponding exact result of Thirring. (auth)
Research Organization:
Joint Inst. for Nuclear Research, Moscow (USSR). Lab. of Theoretical Physics
NSA Number:
NSA-12-014363
OSTI ID:
4310841
Report Number(s):
NP--6860
Country of Publication:
JINR
Language:
English

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