51 citations · 251 across the 16 of their papers we have counts for
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Vector and Axial anomaly in the Thirring-Wess model
Pierluigi Falco
We study the 2D Vector Meson model introduced by Thirring and Wess, that is to say the Schwinger model with massive photon and massless fermion. We prove, with a renormalization gr…
Massless Sine-Gordon and Massive Thirring Models: proof of the Coleman's equivalence
G. Benfatto, P. Falco, V. Mastropietro
We prove the Coleman's conjecture on the equivalence between the massless Sine-Gordon model with finite volume interaction and the Thirring model with a finite volume mass term.
Rigorous construction of the Thirring model: Ward-Takahashi Identities, Schwinger-Dyson Equations and New Anomalies
Pierluigi Falco
We provide a rigorous construction of the Schwinger functions for the massive and massless Thirring models. We use the renormalization group approach, controlling its flow through…
Functional Integral Construction of the Thirring model: axioms verification and massless limit
G. Benfatto, P. Falco, V. Mastropietro
We construct a QFT for the Thirring model for any value of the mass in a functional integral approach, by proving that a set of Grassmann integrals converges, as the cutoffs are re…