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The non-perturbative renormalization-group approach is extended to lattice models, considering as an example a $\phi^4$ theory defined on a $d$-dimensional hypercubic lattice. Within a simple approximation for the effective action, we solve…

统计力学 · 物理学 2009-03-02 N. Dupuis , K. Sengupta

We calculate the renormalized parameters for the quasiparticles and their interactions for the Hubbard model in the paramagnetic phase as deduced from the low energy Fermi liquid fixed point using the results of a numerical renormalization…

强关联电子 · 物理学 2016-12-07 A. C. Hewson

Scaling concepts and renormalization group (RG) methods are applied to a simple linear model of human posture control consisting of a trembling or quivering string subject to damping and restoring forces. The string is driven by…

凝聚态物理 · 物理学 2009-10-31 Francisco Alonso-Sanchez , David Hochberg

A two-dimensional lattice system of non-interacting electrons in a homogeneous magnetic field with half a flux quantum per plaquette and a random potential is considered. For the large scale behavior a supersymmetric theory with collective…

介观与纳米尺度物理 · 物理学 2009-10-28 K. Ziegler

We propose when and why symmetry enhancements happen in massless renormalization group (RG) flows to two-dimensional rational conformal field theories (RCFTs). We test our proposal against known RG flows from unitary minimal models. We also…

高能物理 - 理论 · 物理学 2022-06-23 Ken Kikuchi

We study renormalization group flows in far-from-equilibrium states. The study is made tractable by focusing on states that are spatially homogeneous, time-independent, and scale-invariant. Such states, in which mode $k$ has occupation…

高能物理 - 理论 · 物理学 2025-04-09 Vladimir Rosenhaus , Michael Smolkin

Summation of the perturbation series for the Gell-Mann--Low function \beta(g) of \phi^4 theory leads to the asymptotics \beta(g)=\beta_\infty g^\alpha at g\to\infty, where \alpha\approx 1 for space dimensions d=2,3,4. The natural hypothesis…

高能物理 - 唯象学 · 物理学 2015-06-24 I. M. Suslov

Using an effective field theory (EFT) formalism for forward scattering, we reconsider the factorization of $2\to 2$ scattering amplitudes in the Regge limit. Expanding the amplitude in gauge invariant operators labelled by the number of…

高能物理 - 唯象学 · 物理学 2023-07-14 Ian Moult , Sanjay Raman , Gregory Ridgway , Iain W. Stewart

The asymptotic safety program strives for a consistent description of gravity as a non-perturbatively renormalizable quantum field theory. In this framework the gravitational interactions are encoded in a renormalization group flow…

广义相对论与量子宇宙学 · 物理学 2019-01-08 Frank Saueressig , Giulia Gubitosi , Chris Ripken

We continue the study of the renormalization group and decoupling of massive fields in curved space, started in the previous article and analyse the higher derivative sector of the vacuum metric-dependent action of the Standard Model. The…

高能物理 - 唯象学 · 物理学 2009-11-10 Eduard V. Gorbar , Ilya L. Shapiro

It is shown that exact renormalization group (RG) equations (including rescaling and field-renormalization) for respectively the scale-dependent full action $S[\phi,t]$ and the scale-dependent full effective action $\Gamma[\Phi,t]$ --in…

高能物理 - 理论 · 物理学 2014-05-06 C. Bervillier

Renormalization is a powerful technique in statistical physics to extract the large-scale behavior of interacting many-body models. These notes aim to give an introduction to perturbative methods that operate on the level of the stochastic…

统计力学 · 物理学 2023-03-09 Nikos Papanikolaou , Thomas Speck

In this work, we study the renormalization-group evolution of parameters in the three-dimensional effective field theory (3D EFT) that describes the thermally driven electroweak phase transition of the Higgs field. We consider tree-level…

高能物理 - 唯象学 · 物理学 2026-03-18 Mikael Chala , Andrii Dashko , Guilherme Guedes

In earlier work we showed how the low energy behavior of the symmetric Anderson model in a magnetic field $H$ could be described in terms of field dependent renormalized quasiparticles. Here we extend the approach to the non-symmetric…

强关联电子 · 物理学 2013-05-29 J. Bauer , A. C. Hewson

In physics one attempts to infer the rules governing a system given only the results of imperfect measurements. Hence, microscopic theories may be effectively indistinguishable experimentally. We develop an operationally motivated procedure…

量子物理 · 物理学 2015-08-07 Cédric Bény , Tobias J. Osborne

The replicated field theory of the random field Ising model involves the couplings of replicas of different indices. The resulting correlation functions involve a superposition of different types of long distance behaviours. However the…

凝聚态物理 · 物理学 2009-10-31 E. Brézin , De Dominicis

The functional renormalization group flow of a scalar field theory with quartic couplings and a sharp spatial momentum cutoff is presented in four-dimensional Minkowski space-time for the bare action by retaining the entanglement of the IR…

高能物理 - 理论 · 物理学 2022-02-16 S. Nagy , J. Polonyi

Renormalisation Group (RG) flows in theory space (the space of couplings) are generated by a vector field -- the $\beta$ function. Using a specific metric ansatz in theory space and certain methods employed largely in the context of General…

高能物理 - 理论 · 物理学 2009-11-07 Sayan Kar

Modern techniques of the renormalization group (RG) combined with effective field theory (EFT) methods are revolutionizing nuclear many-body physics. In these lectures we will explore the motivation for RG in low-energy nuclear systems and…

核理论 · 物理学 2015-06-04 R. J. Furnstahl

We present a fit based on Regge theory of two-to-two reactions at high energies particulary focused on leading non-strange positive naturality exchanges. Factorization of the residues is assumed between beam and target vertices. This study…

高能物理 - 唯象学 · 物理学 2013-11-26 Vincent Mathieu