Zobrazeno 1 - 10
of 355
pro vyhledávání: '"Benfatto, G"'
We present the first rigorous derivation of a number of universal relations for a class of models with continuously varying indices (among which are interacting planar Ising models, quantum spin chains and 1D Fermi systems), for which an exact soluti
Externí odkaz:
http://arxiv.org/abs/0909.2707
Autor:
Benfatto, G., Mastropietro, V.
We prove the exact relations between the critical exponents and the susceptibility, implied by the Haldane Luttinger liquid conjecture, for a generic lattice fermionic model or a quantum spin chain with short range weak interaction. The validity of s
Externí odkaz:
http://arxiv.org/abs/0907.2837
It is widely believed that the critical properties of several planar lattice models, like the Eight Vertex or the Ashkin-Teller models, are well described by an effective Quantum Field Theory obtained as formal scaling limit. On the basis of this ass
Externí odkaz:
http://arxiv.org/abs/0811.3218
Publikováno v:
Commun.Math.Phys.285:713-762,2009
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.
Comment: 55 pages, 1 figure minor corrections
Comment: 55 pages, 1 figure minor corrections
Externí odkaz:
http://arxiv.org/abs/0711.5010
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 ve
Externí odkaz:
http://arxiv.org/abs/hep-th/0607043
Publikováno v:
Commun.Math.Phys.273:67-118,2007
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 removed and for a proper choice of the bare parameters, to a set of Schw
Externí odkaz:
http://arxiv.org/abs/hep-th/0606177
Publikováno v:
Annales H. Poincare 7 5 809-898 (2006)
We prove that the weak coupling 2D Hubbard model away from half filling is a Landau Fermi liquid up to exponentially small temperatures. In particular we show that the wave function renormalization is an order 1 constant and essentially temperature i
Externí odkaz:
http://arxiv.org/abs/cond-mat/0507686
Publikováno v:
Physica D 154, 159 (2001)
We consider a class of Hamiltonians with three degrees of freedom that can be mapped into quasi-periodically driven pendulums. The purpose of this paper is to determine the threshold of the break-up of invariant tori with a specific frequency vector.
Externí odkaz:
http://arxiv.org/abs/nlin/0105027
Autor:
Benfatto, G., Mastropietro, V.
An expansion based on renormalization group methods for the spin correlation function in the z direction of the Heisenberg-Ising XYZ chain with an external magnetic field directed as the z axis is derived. Moreover, by using the hidden symmetries of
Externí odkaz:
http://arxiv.org/abs/cond-mat/0004228
Publikováno v:
Phys. Rev. E 60, 5412 (1999).
We construct an approximate renormalization transformation that combines Kolmogorov-Arnold-Moser (KAM)and renormalization-group techniques, to analyze instabilities in Hamiltonian systems with three degrees of freedom. This scheme is implemented both
Externí odkaz:
http://arxiv.org/abs/chao-dyn/9903018