arXiv subjects

Joaquin Sanchez-Guillen

Publications and source records attributed to Joaquin Sanchez-Guillen.

3 recordsLinked to original sources

arXiv2007

Integrability and Diffeomorphisms on Target Space

We briefly review the concepts of generalized zero curvature conditions and integrability in higher dimensions, where integrability in this context is related to the existence of infinitely many conservation laws. Under certain assumptions, it turns out that these conservation laws are, in fact, generated by a class of geometric target space transformations, namely the volume-preserving diffeomorphisms. We classify the possible conservation laws of field theories for the case of a three-dimensional target space. Further, we discuss some explicit examples.

hep-th↗

arXiv2002

On the connections between Skyrme and Yang Mills theories

Skyrme theories on S^3 and S^2, are analyzed using the generalized zero curvature in any dimensions. In the first case, new symmetries and integrable sectors, including the B =1 skyrmions, are unraveled. In S^2 the relation to QCD suggested by Faddeev is discussed

hep-th↗

arXiv2002

Generalized Integrability and the connections between Skyrme-Faddeev and Yang Mills theories

Skyrme theory on S^2 (Faddeev coset proposal), is analyzed with a generalization of 0-curvature integrability, based on gauge techniques. New expressions valid for models in the sphere are given. The relation of the minimum energy configurations to gauge vacua is clarified. Consequences of adding a potential term to break the SO(3) symmetry are discussed.

hep-th↗