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arXiv · 0907.4102

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

Michael Grady
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Abstract

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 $β= 4/g^2 = 1.96\pm 0.01$. No gauge fixing is required. Finite size scaling is consistent with a high-order paramagnet to spin glass transition with a critical exponent $ν= 0.99 \pm 0.13$. The existence of this transition suggests a second transition from spin glass to ferromagnet should exist at higher $β$.

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Michael Grady. 2010-03-26. Is SU(2) lattice gauge theory a spin glass?. https://arxiv.org/abs/0907.4102

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