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The usage of polarimetry and spin-correlation tests to determine the {\em complete Lorentz structure} of the tau lepton's charged and neutral-current couplings is reviewed. The emphasis is on tests for ``something'' in a $(V-A) + $…

High Energy Physics - Phenomenology · Physics 2010-11-01 Charles A. Nelson

We investigate near the point of glass transition the expansion of the free energy corresponding to the generalized Sherrington--Kirkpatrick model with arbitrary diagonal operators U standing instead of Ising spins. We focus on the case…

Statistical Mechanics · Physics 2013-03-07 E. E. Tareyeva , T. I. Schelkacheva , N. M. Chtchelkatchev

We study numerically the out of equilibrium dynamics of the hypercubic cell spin glass in high dimensionalities. We obtain evidence of aging effects qualitatively similar both to experiments and to simulations of low dimensional models.…

Condensed Matter · Physics 2009-10-22 L. F. Cugliandolo , J. Kurchan , F. Ritort

We consider the spherical Sherrington-Kirkpatrick model of spin glass with sparse interaction, where the interactions between most of the pairs of the spin variables are possibly zero. With suitable normalization, we prove that the limiting…

Probability · Mathematics 2023-08-02 Haram Kim , Ji Oon Lee

We present extended versions and give detailed proofs of results concerning percolation (using various sets of two-replica bond occupation variables) in Sherrington-Kirkpatrick spin glasses (with zero external field) that were first given…

Disordered Systems and Neural Networks · Physics 2011-11-10 J. Machta , C. M. Newman , D. L. Stein

We prove the convergence in distribution of the fluctuations of the free energy of the mixed $p$-spin Sherrington-Kirkpatrick model with non-vanishing $2$-spin component at high enough temperature. The limit is Gaussian, and the…

Probability · Mathematics 2021-08-09 Debapratim Banerjee , David Belius

We establish three equivalent versions of a Parisi formula for the free energy of mean-field spin glasses in a transversal magnetic field. These results are derived from available results for classical vector spin glasses by an…

Disordered Systems and Neural Networks · Physics 2024-03-12 Chokri Manai , Simone Warzel

This thesis describes a new a measurement of the tau lepton polarization and its forward-backward asymmetry at the Z resonance using the OPAL detector. This measurement is based on analyses of the tau->electron, muon and pion (Kaon) decays…

High Energy Physics - Experiment · Physics 2007-05-23 Erez Etzion

By controlling quantum fluctuations via the Falk-Bruch inequality we give the first rigorous argument for the existence of a spin-glass phase in the quantum Sherrington-Kirkpatrick model with a transverse magnetic field if the temperature…

Disordered Systems and Neural Networks · Physics 2021-11-16 Hajo Leschke , Chokri Manai , Rainer Ruder , Simone Warzel

In this work, the normalized time auto-correlation function of the electric field of the light $g^{(1)}(\tau)$ that is scattered by the two kinds of particles in dispersion is investigated. The results show that the logarithm of…

Chemical Physics · Physics 2007-05-23 Yong Sun

We study dynamics for asymmetric spin glass models, proposed by Hertz et al. and Sompolinsky et al. in the 1980's in the context of neural networks: particles evolve via a modified Langevin dynamics for the Sherrington--Kirkpatrick model…

Probability · Mathematics 2020-01-27 Amir Dembo , Eyal Lubetzky , Ofer Zeitouni

We consider quantum rotors or Ising spins in a transverse field on a $d$-dimensional lattice, with random, frustrating, short-range, exchange interactions. The quantum dynamics are associated with a finite moment of inertia for the rotors,…

Condensed Matter · Physics 2009-10-22 N. Read , S. Sachdev , J. Ye

This study investigates the quantum effects in transverse-field Ising spin glass models with rotationally invariant random interactions. The primary aim is to evaluate the validity of a quasi-static approximation that captures the…

Disordered Systems and Neural Networks · Physics 2025-10-10 Yoshinori Hara , Yoshiyuki Kabashima

In this paper we calculate the mean number of metastable states for spin glasses on so called random thin graphs with couplings taken from a symmetric binary distribution $\pm J$. Thin graphs are graphs where the local connectivity of each…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. S. Dean

A non-perturbative expansion method which gives a well-defined analytic continuation of the running coupling constant from the spacelike to the timelike region is applied to the inclusive semileptonic decay of the $\tau$--lepton. The method…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. F. Jones , I. S. Solovtsov , O. P. Solovtsova

The decays tau -> 3 pi + nu(tau) are analyzed at one loop order in the framework of Generalized Chiral Perturbation Theory, in order to test the sensitivity to the size of spontaneous chiral symmetry breaking parameters, contained in the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Luca Girlanda , Jan Stern

Across many scientific and engineering disciplines, it is important to consider how much the output of a given system changes due to perturbations of the input. Here, we investigate the glassy phase of $\pm J$ spin glasses at zero…

Disordered Systems and Neural Networks · Physics 2022-10-24 Vaibhav Mohanty , Ard A. Louis

We study a fermionic version of the Sherrington-Kirkpatrick model including nearest-neighbor hopping on a $\infty$-dimensional simple cubic lattices. The problem is reduced to one of free fermions moving in a dynamical effective random…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Bechmann , R. Oppermann

In 1975 Edwards and Anderson introduced a new paradigm that interacting quenched systems, such as a spin-glass, have a phase transition in which long time memory of spatial patterns is realized without spatial correlations. We show here…

We investigate the classical Renyi entropy S_n and the associated mutual information I_n in the Sherrington-Kirkpatrick (S-K) model, which is the paradigm model of mean-field spin glasses. Using classical Monte Carlo simulations and…

Statistical Mechanics · Physics 2016-04-26 Vincenzo Alba , Stephen Inglis , Lode Pollet