Macroscopic Chromodynamics of a Confining Medium

A nonminimal interaction of the gluon field with a massive antisymmetric tensor order parameter is shown to yield a vanishing dielectric function at tree level. The London-type description of this perfect diaelectric suggests a tractable non-Abelian chromodynamics of the Ginzburg-Landau type which is suitable for describing the confinement-deconfinement phase transition.Comment: 6 pages, late

Solitons in nonlocal chiral quark models

Properties of hedgehog solitons in a chiral quark model with nonlocal regulators are described. We discuss the formation of the hedgehog soliton, the quantization of the baryon number, the energetic stability, the gauging and construction of Noether currents with help of path-ordered P-exponents, and the evaluation of observables. The issue of nonlocality is thoroughly discussed, with a focus on contributions to observables related to the Noether currents. It is shown that with typical model parameters the solitons are not far from the weak nonlocality limit. The methods developed are applicable to solitons in models with separable nonlocal four-fermion interactions.Comment: 42 pages, 8 figures, a new section presenting the results with the chiral-circle constrain

The impossible regularization of the Nambu Jona-Lasinio model with vector interactions

We show that the procedure of regularizing the real part of the euclidean action, while leaving the imaginary part unregularized, leads to a non-analytic and highly singular functional of the fields. It is customary to work with an imaginary time component of the vector field, in order to avoid regularization of the anomalous processes. We show that this procedure is flawed by the fact that a stationary point of the action occurs for a real, not imaginary, time component of the vector field. Furthermore the action in the vicinity of the stationary point is singular. The regularized action is thus not suitable for an evaluation of the partition function using a saddle point method. We discuss proposed solutions to this problem, as well as other regularizations. They all lead to practical problems.Comment: 13 pages in Latex, available from [email protected]

Solitons in a chiral quark model with non-local interactions

Hedgehog solitons are found in a chiral quark model with non-local interactions. The solitons are stable without the chiral-circle constraint for the meson fields, as was assumed in previous Nambu-Jona--Lasinio model with local interactions.Comment: 8 page

LE POTENTIEL DU MODELE DES COUCHES ET LES CORRELATIONS ALPHA

Pas de Résumé disponibl