We analyse the BRST constraints and corresponding Hilbert-space structure of chiral QCD 2 in the decoupled formulation for the case of the Jackiw-Rajaraman parameter a = 2. We show that despite formal similarities this theory is not equivalent to QCD 2 , and that its extension to U (N) does not lead to an infinite vacuum degeneracy.

We investigate the cosmology of the two-dimensional Jackiw-Teitelboim model. Since the matter coupling is not defined uniquely, we consider two possible choices. The dilaton field plays an important role in the discussion of the properties of the solutions. In particular, the possibility of universes having a finite initial size emerges.

We investigate the cosmology of the two-dimensional Jackiw-Teitelboim model. Since the coupling of matter with gravitation is not defined uniquely, we consider two possible choices. The dilaton field plays an important role in the discussion of the properties of the solutions. In particular, the possibility of universes having a finite initial size emerges.

We use the method due to Batalin, Fradkin and Tyutin (BFT) for the quantization of chiral boson theories. We consider the Floreanini-Jackiw (FJ) formulation as well as others with linear constraints. PACS: 03.70+k, 11.10.Ef, 11.30.Rd (∗) Electronic mail: ift01001@ufrj (†) Electronic mail: ift03001@ufrj and [email protected] 1

The explicit multi-instanton solutions by ’tHooft and Jackiw, Nohl & Rebbi are generalized to curvilinear coordinates. The idea is that a gauge transformation can notably simplify the expressions obtained after the change of variables. The gauge transform generates a compensating addition to the gauge potential of pseudoparticles. Singularities of the compensating field are irrelevant for physi...

This note deals with the possibility of non-trivial cosmological solutions given by quantum corrections in the framework of the Jackiw-Telteiboim model to the bidimensional gravity. The resulting model shows that the quantum corrections transform, in some cases, the classical solution into a more interesting one with initial singularity.

The goal of this paper is to develop the formalism of the two-particle irreducible (2PI) [1] (or Cornwall Jackiw Tomboulis (CJT) [2]) effective action (EA) in a way appropiate to its application to non equilibrium gauge theories. We hope this review article will stimulate new work into this field.

The Floreanini-Jackiw formulation of the chiral quantum-mechanical system oscillator is a model of constrained theory with only secondclass constraints. in the Dirac’s classification.The covariant quantization needs infinite number of auxiliary variables and a Wess-Zumino term. In this paper we investigate the path integral quatization of this model using Gülers canonical formalism. All variabl...