1208.6568 (Pierluigi Falco)

Two-dimensional Quantum Field Models (with applications to Statistical
Mechanics)    [PDF]

Pierluigi Falco

Two dimensional toy models display, in a gentler setting, many salient aspects of QFT. I discuss a concrete two dimensional case, the Thirring model, which, in spite of its simple definition, illustrates some celebrated features of QFT: the anomalous dimension of the fields; the exact solvability; the anomalies of the Ward-Takahashi identities. Besides, I give a glimpse of the crucial role that this model plays in the study of something apparently quite different: two dimensional, lattice systems of Statistical Mechanics.

View original: http://arxiv.org/abs/1208.6568