Chiral symmetry breaking by a non-Abelian external field in (2+1)-dimensions
arXiv:hep-th/9711016 · doi:10.1103/PhysRevD.57.5230
Abstract
We investigate the effect of a constant external non-Abelian field on chiral symmetry breaking in a (2+1)-dimensional Nambu-Jona-Lasinio model and in 3D QCD by solving the gap equation and the Bethe-Salpeter equation, and also by RG analysis. In the (2+1)-dimensional NJL model chiral symmetry breaking occurs for any weak coupling constant but in 3D QCD catalysis of chiral symmetry breaking does not occur.
11 pages, RevTeX
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- Chromomagnetic Catalysis of Color Superconductivity in a (2+1)-dimensional NJL Model
- Non-abelian gauge fields and quadratic band touchings in molecular graphene
- BCS-BEC crossover in three-dimensional Fermi gases with spherical spin-orbit coupling
- Competition and duality correspondence between chiral and superconducting channels in (2+1)-dimensional four-fermion models with fermion number and chiral chemical potentials
- On magnetic catalysis in even-flavor QED3
- Superconducting phase transitions induced by chemical potential in (2+1)-dimensional four-fermion quantum field theory
- Effect of Dynamical SU(2) Gluons to the Gap Equation of Nambu--Jona-Lasinio Model in Constant Background Magnetic Field
- Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD