2006/07/06 by G. Benfatto, P. Falco, Pierluigi Falco +5
Engineering · Mathematics · Physics and Astronomy · #Advanced Fiber Optic Sensors #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Optical Network Technologies #Photonic Crystal and Fiber Optics #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.hep-th/0607043
4 pages, 1 figure, letter
arxiv created 2006/07/06 · openalex publication_date 2006/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present the first rigorous construction of the QFT 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 removed, to a set of Schwinger functions verifying the Osterwalder-Schrader axioms. The massless limit is investigated and it is shown that the Schwinger functions have different properties with respect to the ones of the well known exact solution: the Ward Identities have anomalies violating the anomaly non-renormalization property and additional anomalies, apparently unnoticed before, are present in the closed equation for the interacting propagator, obtained by combining a Schwinger-Dyson equation with Ward Identities.