Classical particle in a box with random potential: exploiting rotational symmetry of replicated Hamiltonian

DOI10.1016/j.nuclphysb.2006.11.029zbMath1116.70029arXivcond-mat/0610035OpenAlexW1966248915MaRDI QIDQ881315

Yan. V. Fyodorov, Hans-Jürgen Sommers

Publication date: 22 May 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0610035

Mathematics Subject Classification ID

Ordinary differential equations and systems with randomness (34F05) Holonomic systems related to the dynamics of a system of particles (70F20) Quantum theory (81-XX)

Related Items

Extreme value statistics of correlated random variables: a pedagogical review ⋮ Landscape complexity beyond invariance and the elastic manifold ⋮ Complexity of Gaussian random fields with isotropic increments ⋮ Replica-symmetry breaking transitions in the large deviations of the ground-state of a spherical spin-glass ⋮ Hessian spectrum at the global minimum of high-dimensional random landscapes ⋮ Pre-freezing of multifractal exponents in random energy models with a logarithmically correlated potential ⋮ Statics and dynamics of infinite-dimensional liquids and glasses: a parallel and compact derivation ⋮ Manifolds pinned by a high-dimensional random landscape: Hessian at the global energy minimum ⋮ Replica symmetry breaking condition exposed by random matrix calculation of landscape complexity ⋮ Topology trivialization and large deviations for the minimum in the simplest random optimization ⋮ Statistical mechanics of logarithmic REM: duality, freezing and extreme value statistics of 1/fnoises generated by Gaussian free fields ⋮ A spin Glass model for reconstructing nonlinearly encrypted signals corrupted by noise ⋮ Legendre duality of spherical and Gaussian spin glasses ⋮ Nonlinear analog of the complexity-stability transition in random dynamical systems: a replica calculation

Cites Work

• Unnamed Item
• Spontaneous symmetry breaking of a hyperbolic sigma model in three dimensions
• Characteristic polynomials of random Hermitian matrices and Duistermaat-Heckman localisation on non-compact Kähler manifolds
• Broken replica symmetry bounds in the mean field spin glass model
• The Parisi formula
• Introduction to the Replica Theory of Disordered Statistical Systems
• Negative moments of characteristic polynomials of random matrices: Ingham-Siegel integral as an alternative to Hubbard-Stratonovich transformation

This page was built for publication: Classical particle in a box with random potential: exploiting rotational symmetry of replicated Hamiltonian