Research

Curriculum.

Curriculum Vitae

Submitted articles.

1. G. Benfatto, P. Falco, V. Mastropietro: Universal Luttinger Liquid Relations in the 1D Hubbard Model.
   arXiv 1106.0356 (2011).
   


2. P. Falco: Kosterlitz-Thouless Transition Line for the Two Dimensional Coulomb Gas.
   arXiv 1104.1974 (2011).
   

Published articles.

1. P. Falco: Vector and Axial anomaly in the Thirring-Wess model.
   J. Math. Phys. 51 082306 (2010).
   
   
2. G. Benfatto, P. Falco, V. Mastropietro: Universal relations for non-solvable statistical models.
   Phys. Rev. Lett. 104 075701 (2010).
   
   
3. G. Benfatto, P. Falco, V. Mastropietro: Extended scaling relations for planar lattice models.
   Comm. Math. Phys. 292 569-605 (2009).
   
   
4. G. Benfatto, P. Falco, V. Mastropietro: Massless Sine-Gordon and Massive Thirring Models: proof of the Coleman's equivalence.
   Comm. Math. Phys. 285 713-762 (2009).
   
   
5. P. Falco, V. Mastropietro: Renormalization Group and Asymptotic Spin-Charge separation for Chiral Luttinger liquids.
   J. Stat. Phys. 131 79-116 (2008).
   
   
6. A. Amaricci, F. Bonetto, P. Falco: Analyticity of the Sinai-Ruelle-Bowen measure for a class of simple Anosov flows.
   J. Math. Phys. 48 072701 (2007).
   
   
7. G. Benfatto, P. Falco, V. Mastropietro: Functional integral construction of the massive Thirring model: verification of axioms and massless limit.
   Comm. Math. Phys. 273 67-118 (2007).
   
   
8. F. Bonetto, P. Falco, A. Giuliani: Analyticity of the SRB measure of a lattice of coupled Anosov diffeomorphisms of the torus.
   J. Math. Phys. 45 3282-3309 (2004).
   

Unpublished manuscripts.

1. G. Benfatto, P. Falco, V. Mastropietro: Non-perturbative Anomalies in d=2 QFT.
   arXiv:hep-th/0607043v1
   
   
2. P. Falco: Rigorous construction of the Thirring model: Ward-Takahashi Identities, Schwinger-Dyson Equations and New Anomalies. (PhD thesis).
   arXiv:hep-th/0703274v1
   
   
3. P. Falco: Studio della misura di Sinai, Bowen e Ruelle in sistemi semplici. (Degree thesis).