Color Superconductivity in N=2 Supersymmetric Gauge Theories

Details Color Superconductivity in N=2 Supersymmetric Gauge Theories Color Superconductivity in N=2 Supersymmetric Gauge Theories

2005-12-19

arxiv.org/abs/hep-th/0512234v2

Phys.Rev.D74:045004,2006

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 9 figures, a figure and discussions added in Sec. 4, version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.74.045004

We study vacuum structure of N=2 supersymmetric (SUSY) QCD, based on the gauge group SU(2) with N_f=2 flavors of massive hypermultiplet quarks, in the presence of non-zero baryon chemical potential (\mu). The theory has a classical vacuum preserving baryon number symmetry, when a mass term, which breaks N=2 SUSY but preserves N=1 SUSY, for the adjoint gauge chiral multiplet (m_{ad}) is introduced. By using the exact result of N=2 SUSY QCD, we analyze low energy effective potential at the leading order of perturbation with respect to small SUSY breaking parameters, \mu and m_{ad}. We find that the baryon number is broken as a consequence of the SU(2) strong gauge dynamics, so that color superconductivity dynamically takes place at the non-SUSY vacuum.

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