Dynamical gauge symmetry breaking and superconductivity in three-dimensional systems
Jul, 199716 pages
Published in:
- Mod.Phys.Lett.A 13 (1998) 1019-1034
e-Print:
- hep-lat/9707027 [hep-lat]
Report number:
- NTUA-65-97,
- OUTP-97-36-P,
- OUTP-97-36P
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Abstract:
We discuss dynamical breaking of non-abelian gauge groups in three dimensional (lattice) gauge systems via the formation of fermion condensates. A physically relevant example, motivated by condensed-matter physics, is that of a fermionic gauge theory with group . In the strong U_S(1) region, the SU(2) symmetry breaks down to a U(1), due to the formation of a parity-invariant fermion condensate. We conjecture a phase diagram for the theory involving a critical line, which separates the regions of broken SU(2) symmetry from those where the symmetry is restored. In the broken phase, the effective Abelian gauge theory is closely related to an earlier model of two-dimensional parity-invariant superconductivity in doped antiferromagnets. The superconductivity in the model occurs in the Kosterlitz-Thouless mode, since strong phase fluctuations prevent the existence of a local order parameter. Some physical consequences of the phase diagram for the (doping-dependent) parameter space of this condensed-matter model are briefly discussed.Note:
- 17 pages Latex, 1 macro, three figures (included) (minor typo on page 14 concerning the critical coupling of SU(2) corrected)
- lattice field theory
- gauge field theory: SU(2) x U(1)
- dynamical symmetry breaking
- dimension: 3
- fermion: condensation
- critical phenomena
- superconductivity: model
- temperature: high
- ferromagnet: antiferromagnet
References(38)
Figures(2)