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Higher orders in perturbation theory require the calculation of Feynman integrals at multiple loops. We report on an approach to systematically solve Feynman integrals by means of symbolic summation and discuss the underlying algorithms.…

数学物理 · 物理学 2008-11-26 S. Moch

In the O(N) model for the large N expansion one needs resummation which makes the renormalization of the model difficult. In the paper it is discussed, how can one perform a consistent perturbation theory at zero as well as at finite…

高能物理 - 唯象学 · 物理学 2009-11-13 A. Jakovac

The long time effect of nonlinear perturbation to oscillatory linear systems can be characterized by the averaging method, and we consider first-order averaging for its simplest applicability to high-dimensional problems. Instead of the…

经典分析与常微分方程 · 数学 2018-12-05 Molei Tao

Non-reciprocal interactions are present in many systems out of equilibrium. The rate of entropy production is a measure that quantifies the time irreversibility of a system, and thus how far it is from equilibrium. In this work, we…

统计力学 · 物理学 2022-11-28 Ziluo Zhang , Rosalba Garcia-Millan

The stability of linear dynamic systems with hysteresis in feedback is considered. While the absolute stability for memoryless nonlinearities (known as Lure's problem) can be proved by the well-known circle criterion, the multivalued…

系统与控制 · 电气工程与系统科学 2020-02-11 Michael Ruderman

Non-equilibrium modifications of the nuclear equation of state are assessed in the framework of Extended Irreversible Thermodynamics. The expected size of the non-equilibrium corrections to quantities like the nuclear-matter…

核理论 · 物理学 2009-10-30 George Fai , Pawel Danielewicz

The quantum Mpemba effect (QME) is a phenomenon observed in many-body systems where initial systems configurations farther from equilibrium can be observed to equilibrate faster than configurations that are closer to it. By considering…

量子物理 · 物理学 2026-04-14 Matthew Mackinnon , Mauro Paternostro

We study the non-equilibrium dynamics (purely dissipative and relaxational) in a semi-infinite system following a quench from the high temperature disordered phase to its critical temperature. We show that the local autocorrelation near the…

凝聚态物理 · 物理学 2009-10-28 Satya N. Majumdar , Anirvan M. Sengupta

Supersymmetry is a prominent candidate for physics beyond the standard model. In order to compute the spectrum of supersymmetric theories, we employ nonperturbative lattice QFT techniques which due to the discretisation of spacetime violate…

高能物理 - 格点 · 物理学 2013-10-24 Bjoern H. Wellegehausen , Daniel Koerner , Andreas Wipf

We derive the nonequilibrium real-time evolution of an O(N) - invariant scalar quantum field theory in the presence of a nonvanishing expectation value of the quantum field. Using a systematic 1/N expansion of the 2PI effective action to…

高能物理 - 唯象学 · 物理学 2010-02-04 G. Aarts , D. Ahrensmeier , R. Baier , J. Berges , J. Serreau

Grand unified theories may display multiply interacting fields with strong coupling dynamics. This poses two new problems: (1) What is the nature of chaotic reheating after inflation, and (2) How is reheating sensitive to the mass spectrum…

高能物理 - 唯象学 · 物理学 2009-10-31 Bruce A. Bassett , Fabrizio Tamburini

For nonequilibrium steady states, we identify observables whose fluctuations satisfy a general symmetry and for which a new reciprocity relation can be shown. Unlike the situation in recently discussed fluctuation theorems, these…

统计力学 · 物理学 2015-05-26 Christian Maes , Maarten H. van Wieren

We consider a re-sampling scheme for estimation of the population parameters in the mixed effects nonlinear regression models of the type use for example in clinical pharmacokinetics, say. We provide an estimation procedure which {\it…

统计理论 · 数学 2019-02-05 Benzion Boukai , Yue Zhang

We investigate the one loop effective potential of inflation in a standard model of chaotic inflation. The leading one loop corrections to the effective inflaton potential are evaluated in the quasi de Sitter background, and we estimate the…

天体物理学 · 物理学 2009-11-11 Martin S. Sloth

A single static magnetic impurity in a fully-gapped superconductor leads to formation of an intragap quasiparticle bound state. At temperatures much below the superconducting transition, the energy relaxation and spin dephasing of the state…

强关联电子 · 物理学 2014-10-01 Ivar Martin , Dmitry Mozyrsky

A complete set of Feynman rules is derived, which permits a perturbative description of the nonequilibrium dynamics of a symmetry-breaking phase transition in $\lambda\phi^4$ theory in an expanding universe. In contrast to a naive expansion…

高能物理 - 理论 · 物理学 2009-10-31 Ian D. Lawrie

We consider sampling strategies for a class of multivariate bandlimited functions $f$ that have a spectrum consisting of disjoint frequency bands. Taking advantage of the special spectral structure, we provide formulas relating $f$ to the…

泛函分析 · 数学 2018-04-18 Christina Frederick

It is shown how a recent method to systematically extrapolate and resum the loop expansion for nonlinear sigma-models is related to solutions of the renormalization group equation. This relation is used to generalize the explicit equations…

凝聚态物理 · 物理学 2009-10-22 S. Q. Yang , D. Belitz

To describe the nonequilibrium states of the system, a new thermodynamic parameter - system lifetime - is introduced. Statistical distributions that describe the behavior of energy and lifetime are recorded. Entropy and obtained…

统计力学 · 物理学 2019-10-14 V. V. Ryazanov

We investigate the off-equilibrium dynamics of a spin system with O($N$) symmetry in $2 < d < 4$ spatial dimensions arising by the presence of a slowly varying time-dependent magnetic field $h(t,t_s) \sim t/t_s$, $t_s$ is a time scale, at…

统计力学 · 物理学 2019-01-25 Stefano Scopa