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Conformal symmetry can be spontaneously broken due to the presence of a defect or other background, which gives a symmetry-breaking vacuum expectation value (VEV) to some scalar operators. We study the effective field theory of fluctuations…

High Energy Physics - Theory · Physics 2023-04-05 Kurt Hinterbichler , Qiuyue Liang , Mark Trodden

Safety is essential for reinforcement learning (RL) applied in the real world. Adding chance constraints (or probabilistic constraints) is a suitable way to enhance RL safety under uncertainty. Existing chance-constrained RL methods like…

Machine Learning · Computer Science 2021-08-27 Baiyu Peng , Jingliang Duan , Jianyu Chen , Shengbo Eben Li , Genjin Xie , Congsheng Zhang , Yang Guan , Yao Mu , Enxin Sun

Stochastic quantization offers the opportunity to simulate field theories with a complex action. In some theories unstable trajectories are prevalent when a constant stepsize is employed. We construct algorithms for generating an adaptive…

High Energy Physics - Lattice · Physics 2014-11-20 Gert Aarts , Frank A. James , Erhard Seiler , Ion-Olimpiu Stamatescu

A system comprised of an elastic solid and its response to an external random force sequence is shown to behave based on the principles of the theory of algorithmic complexity and randomness. The solid distorts the randomness of an input…

Computational Complexity · Computer Science 2008-11-06 J. Ratsaby , J. Chaskalovic

Self-supervised learning is the backbone of state of the art language modeling. It has been argued that training with predictive loss on a self-supervised dataset causes simulators: entities that internally represent possible configurations…

Machine Learning · Computer Science 2024-01-31 Luke Marks

We define "constructed observables" as relating experimental measurements to terms in a Lagrangian while simultaneously making assumptions about possible deviations from the Standard Model (SM), in other Lagrangian terms. Ensuring that the…

High Energy Physics - Phenomenology · Physics 2015-06-23 Michael Trott

This paper firstly show that a recent model (Tian et al., Transpn. Res. B 71, 138-157, 2015) is not able to well replicate the evolution concavity in traffic flow, i.e. the standard deviation of vehicles increases in a concave/linear way…

Cellular Automata and Lattice Gases · Physics 2015-07-16 Junfang Tian , Rui Jiang , Guangyu Li , Martin Treiber , Ning Jia , Shoufeng Ma

We describe an approach to logarithmic conformal field theories as limits of sequences of ordinary conformal field theories with varying central charge c. Logarithmic behaviour arises from degeneracies in the spectrum of scaling dimensions…

Statistical Mechanics · Physics 2013-11-25 John Cardy

We present here for the first time a unifying perspective for the lack of equipartition in non-linear ordered systems and the low temperature phase-space fragmentation in disordered systems. We demonstrate that they are just two…

Statistical Mechanics · Physics 2021-02-08 Giacomo Gradenigo , Fabrizio Antenucci , Luca Leuzzi

We study the convergence to equilibrium of an underdamped Langevin equation that is controlled by a linear feedback force. Specifically, we are interested in sampling the possibly multimodal invariant probability distribution of a Langevin…

Optimization and Control · Mathematics 2022-01-12 Tobias Breiten , Carsten Hartmann , Lara Neureither , Upanshu Sharma

We revisit here the naturalness problem of Lorentz invariance violations on a simple toy model of a scalar field coupled to a fermion field via a Yukawa interaction. We first review some well-known results concerning the low-energy…

High Energy Physics - Theory · Physics 2018-07-19 Alessio Belenchia , Andrea Gambassi , Stefano Liberati

We study the generalization performance of online learning algorithms trained on samples coming from a dependent source of data. We show that the generalization error of any stable online algorithm concentrates around its regret--an easily…

Machine Learning · Statistics 2012-06-08 Alekh Agarwal , John C. Duchi

We study the utility of a complex Langevin (CL) equation as an alternative for the Monte Carlo (MC) procedure in the evaluation of expectation values occurring in fermionic many-body problems. We find that a CL approach is natural in cases…

Nuclear Theory · Physics 2009-11-06 Chris Adami , Steven E. Koonin

Colloidal particles that experience perfectly elastic collisions can be modelled using Langevin processes with specular reflection conditions. The article presents a discretisation scheme and offers a conjecture for the rate of convergence…

Statistical Mechanics · Physics 2017-08-30 Mireille Bossy , Radu Maftei , Jean-Pierre Minier , Christophe Profeta

We investigate theoretically the feasibility of an experimental test of the Bell-type inequality derived by Mermin for correlated spins larger than 1/2. Using the Schwinger representation, we link the output fields of two two-mode squeezers…

Quantum Physics · Physics 2011-11-01 Ruffin Evans , Olivier Pfister

We study critical behaviors of the reduced fidelity susceptibility for two neighboring sites in the one-dimensional transverse field Ising model. It is found that the divergent behaviors of the susceptibility take the form of square of…

Quantum Physics · Physics 2008-08-14 Jian Ma , Lei Xu , Xiaoguang Wang

We develop a method for the simulation of scalar field theories with complex actions which is local, simple to implement and can be used in any number of space-time dimensions. For model systems satisfying the $\mathcal{PT}$ symmetry…

High Energy Physics - Lattice · Physics 2017-12-11 Leandro Medina , Michael C. Ogilvie

The encoding of lattice gauge theories onto quantum computers requires a discretization of the gauge field's Hilbert space on each link, which presents errors with respect to the Kogut--Susskind limit. In the electric basis, Hilbert space…

We present new results of full QCD at nonzero chemical potential. In PRD 92, 094516 (2015) the complex Langevin method was shown to break down when the inverse coupling decreases and enters the transition region from the deconfined to the…

High Energy Physics - Lattice · Physics 2018-04-18 Jacques Bloch , Olaf Schenk

We study the simulated annealing algorithm based on the kinetic Langevin dynamics, in order to find the global minimum of a non-convex potential function. For both the continuous time formulation and a discrete time analogue, we obtain the…

Probability · Mathematics 2022-06-14 Xuedong He , Xiaolu Tan , Ruocheng Wu