2018/10/08 by Prabal Adhikari · 22 citations
Physics and Astronomy · #Condensed matter physics #Effective field theory #High-Energy Particle Collisions Research #Isospin #Lattice (music) #Magnetic field #Particle physics #Physics #Physics of Superconductivity and Magnetism #Pion #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Vortex #hep-ph #nucl-th
paper · pdf · doi:10.1016/j.physletb.2019.01.027
published in Physics Letters B 790, 211-217 (Elsevier BV) · 9 pages, 4 figures
arxiv created 2018/10/08 · openalex publication_date 2019/01/21 · arxiv updated 2019/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study finite isospin chiral perturbation theory (χPT) in a uniform external magnetic field and find the condensation energy of magnetic vortex lattices using the method of successive approximations (originally used by Abrikosov) near the upper critical point beyond which the system is in the normal vacuum phase. The difference between standard Ginzburg–Landau (GL) theory (or equivalently the Abelian Higgs model) and χPT arises due to the presence of additional momentum-dependent (derivative) interactions in χPT and the presence of electromagnetically neutral pions that interact with the charged pions via strong interactions but do not couple directly to the external magnetic field. We find that while the vortex lattice structure is hexagonal similar to vortices in GL theory, the condensation energy (relative to the normal vacuum state in a uniform, external magnetic field) is smaller (larger in magnitude) due to the presence of derivative interactions. Furthermore, we establish that neutral pions do not condense in the vortex lattice near the upper critical field.