Restoration of a spontaneously broken symmetry in a Euclidean quantum 
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 model with quenched disorder

Using results of statistical field theory for systems with an anisotropic disorder, we present an analog model for Euclidean wormholes and topological fluctuation effects in a Riemannian space [Formula: see text]. The contribution of wormholes and topological fluctuations to the Euclidean gravitational functional integral is modeled by quenched randomness defined in the [Formula: see text] manifold. We obtain a disorder-averaged free energy by taking the average over all the realizations of the random fields. In the scenario of topology fluctuation, there appears a superposition of infinite branes that contribute to the physical quantities. All topology fluctuations can be understood as two distinct kinds of Euclidean wormholes: wormholes confined to one brane, and wormholes connecting different branes.

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Restoration of a spontaneously broken symmetry in a Euclidean quantum λφd+14 model with quenched disorder

Cited by 2 publications

References 75 publications

Critical Casimir effect in a disordered O(2)-symmetric model

Critical Casimir effect in a disordered O(2)-symmetric model

Analog model for Euclidean wormholes effects

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