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Field theory for the Almeida-Thouless transition

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arxiv 2212.01654 v1 pith:KRKNMGLN submitted 2022-12-03 cond-mat.dis-nn cond-mat.stat-mech

Field theory for the Almeida-Thouless transition

Tam\'as Temesv\'ari (Theoretical Physics Department , Institute of Physics , E\"otv\"os Lor\'and University , Budapest , Hungary) , Imre Kondor (Complexity Science Hub , Vienna , Austria
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London Mathematical Laboratory London UK)
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classification cond-mat.dis-nn cond-mat.stat-mech
keywords transitionfieldalmeida-thoulessphasetemperaturearoundbehaviorboundary
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This work contains a review of the theoretical understanding for the Almeida-Thouless transition. The effective field theoretic model for this transition to the replica symmetry broken phase is extended to low temperatures, making it possible to compute perturbative corrections to the mean field phase boundary even close to zero temperature. Nonperturbative behavior emerges both around the zero-external-field transition and at low temperature. Renormalization group results are also discussed.

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