Physical observables of the Ising spin glass in 6-epsilon dimensions: asymptotical behavior around the critical fixed point

Abstract

The asymptotical behavior of physical quantities, like the order parameter, the replicon and longitudinal masses, is studied around the zero-field spin glass transition point when a small external magnetic field is applied. An effective field theory to model this asymptotics contains a small perturbation in its Lagrangian which breaks the zero-field symmetry. A first order renormalization group supplemented by perturbational results provides the scaling functions. The perturbative zero of the scaling function for the replicon mass defines a generic Almeida-Thouless surface stemming from the zero-field fixed point.

arXiv comment12 pages. Minor changes in the text, two added paragraphs in Sec. VI (3. and 4.) and 7 added references (Refs. 19-25). Accepted for publication in Physical Review B

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Cited by in corpus (7)

• Morphology of renormalization-group flow for the de Almeida-Thouless-Gardner universality class
• Unexpected upper critical dimension for spin glass models in a field predicted by the loop expansion around the Bethe solution at zero temperature
• Spin-glass dynamics: experiment, theory and simulation
• One-loop topological expansion for spin glasses in the large connectivity limit
• Critical exponents of the spin glass transition in a field at zero temperature
• Why replica symmetry breaking does not occur below six dimensions in Ising spin glasses
• Long-range spin glass in a field at zero temperature