ar X iv : h ep - t h / 93 10 04 4 v 1 7 O ct 1 99 3 Quantisation of O ( N ) invariant nonlinear sigma model in

ar X iv : h ep - t h / 04 11 21 1 v 1 2 3 N ov 2 00 4 Dirac quantization of a nonminimal gauged O ( 3 ) sigma model

The (2+1) dimensional gauged O(3) nonlinear sigma model with Chern-Simons term is canonically quantized. Furthermore, we study a nonminimal coupling in this model implemented by means of a Pauli-type term. It is shown that the set of constraints of the model is modified by the introduction of the Pauli coupling. Moreover, we found that the quantum commutator relations in the nominimal case is i...

ar X iv : h ep - p h / 93 10 21 3 v 1 4 O ct 1 99 3 TIFR / TH / 93 - 40 ELECTROWEAK PROCESSES AND PRECISION TESTS 1

ar X iv : h ep - t h / 93 10 11 7 v 1 1 9 O ct 1 99 3 QUANTUM κ - POINCARE IN ANY DIMENSION

The κ-deformation of the D-dimensional Poincaré algebra (D ≥ 2) with any signature is given. Further the quadratic Poisson brackets, determined by the classical r-matrix are calculated, and the quantum Poincaré group " with noncommuting parameters " is obtained.

ar X iv : s ol v - in t / 9 71 00 04 v 1 7 O ct 1 99 7 México ICN - UNAM 97 - 12 Two - body

Two Lie algebraic forms of the 2-body Elliptic Calogero model are presented. Translation-invariant and dilatation-invariant discretizations of the model are obtained.

ar X iv : h ep - t h / 97 04 13 7 v 1 1 J an 1 99 7 Quantum equivalence of σ models related by non

Coupling constant renormalization is investigated in 2 dimensional σ models related by non Abelian duality transformations. In this respect it is shown that already in the one loop order of perturbation theory the duals of a one parameter family of models, interpolating between the SU (2) principal model and the O(3) sigma model, behave differently from the original models. In particular we fin...