118 research outputs found
A Generalized Construction for Lumps and Non-Abelian Vortices
We construct the general vortex solution in a fully-Higgsed, color-flavor
locked vacuum of a non-Abelian gauge theory, where the gauge group is taken to
be the product of an arbitrary simple group and U(1), with a Fayet-Iliopoulos
term. The strict correspondence between vortices and lumps in the associated
Non-Linear Sigma-Model which arise in the limit of strong coupling is pointed
out. The construction of the vortex moduli space is derived here as a
consequence of this correspondence.Comment: 12 pages, no figures, Contribution to "Continuous Advances in QCD
2008", Minneapolis, May 200
Large-N Solution of the Heterotic Weighted Non-Linear Sigma-Model
We study a heterotic two-dimensional N=(0,2) gauged non-linear sigma-model
whose target space is a weighted complex projective space. We consider the case
with N positively and N^~=N_F - N negatively charged fields. This model is
believed to give a description of the low-energy physics of a non-Abelian
semi-local vortex in a four-dimensional N=2 supersymmetric U(N) gauge theory
with N_F > N matter hypermultiplets. The supersymmetry in the latter theory is
broken down to N=1 by a mass term for the adjoint fields. We solve the model in
the large-N approximation and explore a two-dimensional subset of the mass
parameter space for which a discrete Z_{N-N^~} symmetry is preserved.
Supersymmetry is generically broken, but it is preserved for special values of
the masses where a new branch opens up and the model becomes super-conformal.Comment: 34 pages, 10 figures, references adde
Spontaneous Magnetization through Non-Abelian Vortex Formation in Rotating Dense Quark Matter
When a color superconductor of high density QCD is rotating, superfluid
vortices are inevitably created along the rotation axis. In the color-flavor
locked phase realized at the asymptotically large chemical potential, there
appear non-Abelian vortices carrying both circulations of superfluid and color
magnetic fluxes. A family of solutions has a degeneracy characterized by the
Nambu-Goldtone modes CP2, associated with the color-flavor locked symmetry
spontaneously broken in the vicinity of the vortex. In this paper, we study
electromagnetic coupling of the non-Abelian vortices and find that the
degeneracy is removed with the induced effective potential. We obtain one
stable vortex solution and a family of metastable vortex solutions, both of
which carry ordinary magnetic fluxes in addition to color magnetic fluxes. We
discuss quantum mechanical decay of the metastable vortices by quantum
tunneling, and compare the effective potential with the other known potentials,
the quantum mechanically induced potential and the potential induced by the
strange quark mass.Comment: 24 pages, 4 figures; v2 revised published versio
- …