Magnetic Vortices in the Abelian Higgs Model with Derivative Interactions
arXiv:1810.00917 · doi:10.1142/S0217751X18502159
Abstract
We study the properties of a single magnetic vortex and magnetic vortex lattices in a generalization of the Abelian Higgs model containing the simplest derivative interaction that preserves the gauge symmetry of the original model. The paper is motivated by the study of finite isospin chiral perturbation theory in a uniform, external : since pions are Goldstone bosons of QCD (due to chiral symmetry breaking by the QCD vacuum), they interact through momentum dependent terms. We introduce a uniform external magnetic field and find the asymptotic properties of single vortex solutions and compare them to the well-known solutions of the standard Abelian Higgs Model. Furthermore, we study the vortex lattice solutions near the upper critical field using the method of successive approximations, which was originally used by Abrikosov in his seminal paper on type-II superconductors. We find the vortex lattice structure, which remains hexagonal as in the standard Abelian Higgs model, and condensation energy of the vortex lattices relative to the normal vacuum (in a uniform magnetic field).
arXiv comment14 pages, 4 figures
References in corpus (9)
- The Chiral Magnetic Effect
- The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
- Physics of Strongly Magnetized Neutron Stars
- QCD at finite isospin density
- Parity violation in hot QCD: why it can happen, and how to look for it
- QCD at finite isospin density: from pion to quark-antiquark condensation
- Electromagnetically superconducting phase of vacuum in strong magnetic field: structure of superconductor and superfluid vortex lattices in the ground state
- Finite Isospin Chiral Perturbation Theory in a Magnetic Field
- Vortex solutions in the Abelian Higgs Model with a neutral scalar