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Zeitschriftenartikel:

H. Bozkaya, A. Ivanov, M. Pitschmann:
"On renormalizability of the massless Thirring model";
Journal of Physics A: Mathematical and General, 39 (2006), S. 11075 - 11089.



Kurzfassung englisch:
We discuss the renormalizability of the massless Thirring model in terms of the
causal fermion Green functions and correlation functions of left-right fermion
densities. We obtain the most general expressions for the causal two-point
Green function and correlation function of left-right fermion densities with
dynamical dimensions of fermion fields, parameterized by two parameters. The
region of variation of these parameters is constrained by the positive definiteness
of the norms of the wavefunctions of the states related to components of the
fermion vector current. We show that the dynamical dimensions of fermion
fields calculated for causal Green functions and correlation functions of left-
right fermion densities can be made equal. This implies the renormalizability of
themassless Thirring model in the sense that the ultraviolet cut-off dependence,
appearing in the causal fermion Green functions and correlation functions
of left-right fermion densities, can be removed by renormalization of the
wavefunction of the massless Thirring fermion fields only.


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