Is SU(2) lattice gauge theory a spin glass?

Details Is SU(2) lattice gauge theory a spin glass? Is SU(2) lattice gauge theory a spin glass?

2009-07-23

arxiv.org/abs/0907.4102v2

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, 6 eps figures. Study repeated with better algorithm and higher equilibration. A detailed study of equilibration is p

Scientific paper

A new order parameter is constructed for SU(2) lattice gauge theory in the context of the two-real-replica method normally used for spin glasses. The order parameter is sensitive to a global Z2 subgroup of the gauge symmetry which is seen to break spontaneously at $\beta = 4/g^2 = 1.96\pm 0.01$. No gauge fixing is required. Finite size scaling is consistent with a high-order paramagnet to spin glass transition with a critical exponent $\nu = 0.99 \pm 0.13$. The existence of this transition suggests a second transition from spin glass to ferromagnet should exist at higher $\beta$.

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