Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals

VA Miransky, IA Shovkovy - Physics Reports, 2015 - Elsevier
A range of quantum field theoretical phenomena driven by external magnetic fields and their
applications in relativistic systems and quasirelativistic condensed matter ones, such as …

Phase diagram of QCD in a magnetic field

JO Andersen, WR Naylor, A Tranberg - Reviews of Modern Physics, 2016 - APS
Recent advances in our understanding of the phase structure and the phase transitions of
hadronic matter in strong magnetic fields B and zero quark chemical potentials μ f are …

The flux-line lattice in superconductors

EH Brandt - Reports on Progress in Physics, 1995 - iopscience.iop.org
Magnetic flux can penetrate a type-II superconductor in the form of Abrikosov vortices (also
called flux lines, flux tubes, or fluxons) each carrying a quantum of magnetic flux phi 0= h/2e …

Superconductivity of QCD vacuum in strong magnetic field

MN Chernodub - Physical Review D—Particles, Fields, Gravitation, and …, 2010 - APS
We show that in a sufficiently strong magnetic field the QCD vacuum may undergo a
transition to a new phase where charged ρ±mesons are condensed. In this phase the …

Spontaneous electromagnetic superconductivity of vacuum in a strong magnetic field: evidence from the Nambu–Jona-Lasinio model

MN Chernodub - Physical Review Letters, 2011 - APS
Using an extended Nambu–Jona-Lasinio model as a low-energy effective model of QCD,
we show that the vacuum in a strong external magnetic field (stronger than 10 16 T) …

Liouville Type Equations with Singular Data¶ and Their Applications to Periodic Multivortices¶ for the Electroweak Theory

D Bartolucci, G Tarantello - Communications in mathematical physics, 2002 - Springer
Motivated by the study of multivortices in the Electroweak Theory of Glashow–Salam–
Weinberg 33, we obtain a concentration-compactness principle for the following class of …

Mean field equation of Liouville type with singular data: topological degree

CC Chen, CS Lin - Communications on Pure and Applied …, 2015 - Wiley Online Library
We consider the following mean field equation: where M is a compact Riemann surface with
volume 1, h* is a positive C1 function on M, and ρ and αj are constants satisfying αj>− 1. In …

A condensate solution of the electroweak theory which interpolates between the broken and the symmetric phase

J Ambjørn, P Olesen - Nuclear Physics B, 1990 - Elsevier
We discuss a magnetic type solution of the classical electroweak equations with the property
that for fields larger than mw 2/ea W-and Z-condensate is formed. When the average …

The existence of non-topological solitons in the self-dual Chern-Simons theory

J Spruck, Y Yang - Communications in mathematical physics, 1992 - Springer
Abstract In the recently discovered (2+ 1)-dimensional relativistic Chern-Simons model, self-
duality can be achieved when the Higgs potential density assumes a special form for which …

A holographic study on vector condensate induced by a magnetic field

RG Cai, S He, L Li, LF Li - Journal of High Energy Physics, 2013 - Springer
A bstract We study a holographic model with vector condensate by coupling the anti-de
Sitter gravity to an Abelian gauge field and a charged vector field in (3+ 1) dimensional …