Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-05-08
Phys.Rev. D50 (1994) 1077-1091
Physics
High Energy Physics
High Energy Physics - Theory
32, DFPD 93-TH-34
Scientific paper
10.1103/PhysRevD.50.1077
We study by non perturbative techniques a vector, axial--vector theory characterized by a parameter which interpolates between pure vector and chiral Schwinger models. Main results are two windows in the space of parameters which exhibit acceptable solutions. In the first window we find a free massive and a free massless bosonic excitations and interacting left--right fermions endowed with asymptotic \hbox{states}, which feel however a long range interaction. In the second window the massless bosonic excitation is a negative norm state which can be consistently expunged from the ``physical" Hilbert space; fermions are confined. An intriguing feature of our model occurs in the first window where we find that fermionic correlators scale at both short and long distances, but with different critical exponents. The infrared limit in the fermionic sector is nothing but a dynamically generated massless Thirring model.
Bassetto Antonio
Griguolo Luca
Zanca Paolo
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