1994/07/31 by V. P. Gusynin, V. A. Miransky, I. A. Shovkovy · 1 citation
Mathematics · Physics and Astronomy · #Action (physics) #Chiral symmetry breaking #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Explicit symmetry breaking #Fermion #Magnetic field #Mathematics #Pairing #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spontaneous symmetry breaking #Superconductivity #Symmetry (geometry) #Symmetry breaking #Theoretical physics #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.52.4718
published as Phys.Rev. D52 (1995) 4718-4735 · 37 pages, LaTeX. The final, extended, version (with no effect on conclusion) which appeared in Phys.Rev. D52 (1995) 4718
arxiv created 1995/10/11 · openalex publication_date 1995/10/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is shown that in 2+1 dimensions a constant magnetic field is a strong catalyst of dynamical flavor symmetry breaking, leading to generating a fermion dynamical mass even at the weakest attractive interaction between fermions. The essence of this effect is that in a magnetic field, in 2+1 dimensions, the dynamics of fermion pairing is essentially one dimensional. The effect is illustrated in the Nambu--Jona-Lasinio model in a magnetic field. The low-energy effective action in this model is derived and the thermodynamic properties of the model are considered. The relevance of this effect for planar condensed matter systems and for (3+1)-dimensional theories at high temperature is pointed out.