The development of Relativistic Quantum Field Theory started in 1932 as a natural
extension of Quantum Mechanics to the relativistic domain [1]. The work of Feynman in the …

In perturbation theory the Green's functions of composite operators are constructed by
applying Bogoliubov's method of renormalization. Normalization conditions for the …

Within Luther's approach to the quantization of the massive Thirring model we construct
infinitely many commuting local, conserved charges for the lattice theory. The values of …

The notion of renormalization is at the core of several spectacular achievements of
contemporary physics, and in the last years powerful techniques have been developed …

This series of lectures will be devoted to a discussion of some aspects of two fascinating and
in a way complementary recent developments in quantum field theory. This first one has to …

THREE-LOOP CALCULATIONS IN THE 0(N) GROSS-NEVEU MODEL 1. Introduction The 0(N)
Gross—Neveu model [1]belongs to an interesting Page 1 Nuclear Physics B341 (1990) 403—4 …

Four-fermion interactions of the current-current type with U (n) symmetry, in one space and
one time dimension, are investigated. It is shown that the equations of motion yield scale …

In this work we study the most general four-fermion two dimensional model. We discuss its
renormalization and compute the two loops β-functions. We analyze the structure of the …

Computation of the three-loop a-function of the O( N) Gross—Neveu model in minimal
subtraction Page 1 NUCLEAR Nuclear Physics B 367 (1991) 657—674 PH VS I CS B North-Holland …

We extend the perturbative analysis of the two-dimensional Gross-Neveu model by
cimputing within the MS scheme the three-loop renormalization functions β, γ, and γ m in a …