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Motivated by the problem of solving the Einstein equations, we discuss high order finite difference discretizations of first order in time, second order in space hyperbolic systems.Particular attention is paid to the case when first order…

广义相对论与量子宇宙学 · 物理学 2010-01-18 M. Chirvasa , S. Husa

We study the dependence on field parametrization of the functional renormalization group equation in the $f(R)$ truncation for the effective average action. We perform a systematic analysis of the dependence of fixed points and critical…

高能物理 - 理论 · 物理学 2018-08-01 Gustavo P. de Brito , Nobuyoshi Ohta , Antonio D. Pereira , Anderson A. Tomaz , Masatoshi Yamada

An exact renormalization group equation describes the dependence of the free energy on an infrared cutoff for the quantum or thermal fluctuations. It interpolates between the microphysical laws and the complex macroscopic phenomena. We…

高能物理 - 唯象学 · 物理学 2009-11-07 C. Wetterich

In previous work [cond-mat/9904207,cond-mat/9904215] we have developed a general method for casting stochastic partial differential equations (SPDEs) into a functional integral formalism, and have derived the one-loop effective potential…

统计力学 · 物理学 2007-05-23 David Hochberg , Carmen Molina-Paris , Juan Perez-Mercader , Matt Visser

Most of the massive states in superstring theory are expected to undergo mass renormalization at one loop order. Typically these corrections should contain imaginary parts, indicating that the states are unstable against decay into lighter…

高能物理 - 理论 · 物理学 2016-07-25 Ashoke Sen

We describe and exploit a reformulation, based on a recently-introduced change of variables, of the double integral that describes the second-order ocean Doppler spectrum measured by High-Frequency radars. We show that this alternative…

大气与海洋物理 · 物理学 2025-03-31 Charles-Antoine Guérin

A derivative expansion of the effective average action beyond first order yields renormalization group functional flow equations which are used for the computation of critical exponents of the Ising universality class. The critical exponent…

高能物理 - 理论 · 物理学 2007-05-23 H. Ballhausen

We consider the infrared and ultraviolet behaviour of the effective quantum field theory of a single $Z_2$ symmetric scalar field. In a previous paper we proved to all orders in perturbation theory the renormalizability of massive effective…

高能物理 - 理论 · 物理学 2015-06-26 R. D. Ball , R. S. Thorne

Within the framework of weighted integrable Hamiltonian systems, we study the long-time behavior of the associated statistical ensembles. We construct an action-dependent angular conjugacy that rectifies the nonuniform angular flow into a…

动力系统 · 数学 2025-09-29 Xinyu Liu , Yong Li

We derive the effective theories for heavy particles with a functional integral approach by integrating away the states with high velocity and with high virtuality. This formulation is non-perturbative and has a close connection with the…

高能物理 - 唯象学 · 物理学 2009-10-28 Ugo Aglietti , Stefano Capitani

We reconsider the naturalness from the viewpoint of effective field theories, motivated by the alternative scenario that the standard model holds until a high-energy scale such as the Planck scale. We propose a calculation scheme of…

高能物理 - 唯象学 · 物理学 2014-05-07 Yoshiharu Kawamura

Obtaining valid treatment effect inference remains a challenging problem when dealing with numerous instruments and non-sparse control variables. In this paper, we propose a novel ridge regularization-based instrumental variables method for…

计量经济学 · 经济学 2025-10-17 Xiduo Chen , Xingdong Feng , Antonio F. Galvao , Yeheng Ge

The accuracy of $V_{ud}$ determinations from superallowed $\beta$ decays critically hinges on control over radiative corrections. Recently, substantial progress has been made on the single-nucleon, universal corrections, while…

高能物理 - 唯象学 · 物理学 2024-11-20 Vincenzo Cirigliano , Wouter Dekens , Jordy de Vries , Stefano Gandolfi , Martin Hoferichter , Emanuele Mereghetti

We study the effects of renormalisation group running of the Wilson coefficients in Standard Model Effective Field Theory, using the process $pp \to t \bar{t}h$ as a showcase. We consider both strong and top Yukawa running effects, since…

高能物理 - 唯象学 · 物理学 2024-04-30 Stefano Di Noi , Ramona Gröber

In an earlier publication, we have introduced a method to obtain, at large N, the effective action for d-dimensional manifolds in a N-dimensional disordered environment. This allowed to obtain the Functional Renormalization Group (FRG)…

无序系统与神经网络 · 物理学 2010-04-05 Pierre Le Doussal , Kay Joerg Wiese

In this paper, we develop a wave function renormalization scheme for models of non-relativistic quantum particles interacting with a quantized relativistic field, in the Hamiltonian formalism of quantum field theory. We construct the…

数学物理 · 物理学 2026-03-10 Marco Falconi , Benjamin Hinrichs , Javier Valentín Martín

Liouville field theory is quantized by means of a Wilsonian effective action and its associated exact renormalization group equation. For $c<1$, an approximate solution of this equation is obtained by truncating the space of all action…

高能物理 - 理论 · 物理学 2007-05-23 M. Reuter

We implement a longstanding proposal by Weisskopf to apply virtual polarization corrections to the in/out external fields in study of the Euler-Heisenberg-Schwinger effective action. Our approach requires distinguishing the electromagnetic…

高能物理 - 唯象学 · 物理学 2023-06-16 Stefan Evans , Johann Rafelski

This paper introduces a novel wave front tracking framework for reconstructing unknown flux functions in $2\times 2$ hyperbolic conservation laws, extending beyond the well-studied scalar case. By analyzing Riemann solutions at fixed…

偏微分方程分析 · 数学 2025-11-25 Chaohua Duan , Yan Jiang , Hongyu Liu , Wenjian Peng

The object of this work is the numerical investigation of a non-commutative field theory defined via the spectral action principle. The Starting point is a spectral triple (A,H,D) referred to as harmonic. The construction of these data…

数学物理 · 物理学 2011-11-15 Bernardino Spisso
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