Extending a stochastic renormalization-group method for tensor group field theories to non-equilibrium, this paper finds that fluctuation-dissipation-violating couplings become large near finite-scale singularities, implying instability of equilibrium dynamics.
Constructing the low-temperature phase diagram for the $2+p$-quantum spin glass using the nonperturbative renormalization group
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In this paper, we use a nonperturbative renormalization group approach to construct the dynamical phase space of a quantum spin glass in the large $N$ limit. The disordered Hamiltonian is of ``$2 + p$" type, and we perform a coarse-graining procedure over the Wigner spectrum for the matrix-like disorder. The phase space reconstruction relies on phase transitions derived from the Luttinger-Ward functional, which accounts for interactions that are forbidden by perturbation theory. Various phases are identified, characterized by large correlations between replicas and/or the breaking of time translation symmetry.
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Stochastic dynamics for group field theories II: Methods for nonequilibrium renormalization group
Extending a stochastic renormalization-group method for tensor group field theories to non-equilibrium, this paper finds that fluctuation-dissipation-violating couplings become large near finite-scale singularities, implying instability of equilibrium dynamics.