name

Uwe-Jens Wiese

refid

24879

email

wiese@mitlns.mit.edu

title

SO(10) Unification of Color Superconductivity and Chiral Symmetry Breaking?

collaboration

Shailesh Chandrasekharan

abstract

Motivated by the SO(5) theory of high-temperature superconductors and
antiferromagnetism, we ask if an SO(10) theory unifies color superconductivity
and chiral symmetry breaking in QCD. The transition to the color superconducting
phase would then be analogous to the spin flop transition in an anisotropic
quantum antiferromagnet in an external magnetic field. While the spin flop
transition generically has a unified SO(3) description, the SO(5) and SO(10)
fixed points are unstable, at least in (4-epsilon) dimensions, and require the
fine-tuning of one additional relevant parameter. Lattice simulations can decide
if the results of the (4-epsilon) expansion apply to the physical case of three
dimensions. Our results suggest that high-temperature superconductors
generically do not have a dynamically enhanced SO(5) symmetry. Also SO(10)
symmetry enhancement in QCD is probably not realized in nature, because this
would require fine-tuning of a physical parameter such as the strange quark
mass.

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