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Leptoquarks are theoretically well-motivated and have received increasing attention in recent years as they can explain several hints for physics beyond the Standard Model. In this article, we calculate the renormalisation group evolution…

High Energy Physics - Phenomenology · Physics 2023-11-08 Sumit Banik , Andreas Crivellin

Several inflationary models predict the possibility that the primordial perturbations of the density field may contain a degree of non-Gaussianity which would influence the subsequent evolution of cosmic structures at large scales. In order…

Cosmology and Nongalactic Astrophysics · Physics 2011-04-07 M. Roncarelli , L. Moscardini , E. Branchini , K. Dolag , M. Grossi , F. Iannuzzi , S. Matarrese

Discretization of continuous stochastic processes is needed to numerically simulate them or to infer models from experimental time series. However, depending on the nature of the process, the same discretization scheme, if not accurate…

Machine Learning · Statistics 2022-05-04 Federica Ferretti , Victor Chardès , Thierry Mora , Aleksandra M Walczak , Irene Giardina

Dense relativistic matter has attracted a lot of attention over many decades now, with a focus on an understanding of the phase structure and thermodynamics of dense strong-interaction matter. The analysis of dense strong-interaction matter…

High Energy Physics - Phenomenology · Physics 2021-11-17 Jens Braun , Timon Dörnfeld , Benedikt Schallmo , Sebastian Töpfel

We develop a systematic multi-local expansion of the Polchinski-Wilson exact renormalization group (ERG) equation. Integrating out explicitly the non local interactions, we reduce the ERG equation obeyed by the full interaction functional…

Condensed Matter · Physics 2009-10-31 Pascal Chauve , Pierre Le Doussal

Based on dynamical renormalization group (RG) calculations to the one-loop order, the surface growth described by a nonlinear stochastic conserved growth equation, {\partial h \over \partial t} = \pm \nu_2 \nabla^2 h + \lambda\nabla \cdot…

Condensed Matter · Physics 2016-08-31 Youngkyun Jung , In-mook Kim , Yup Kim

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…

Condensed Matter · Physics 2009-10-31 Francisco Alonso-Sanchez , David Hochberg

A major goal of ongoing and future cosmological surveys of the large-scale structure is to measure local type primordial non-Gaussianity in the galaxy power spectrum through the scale-dependent bias. General relativistic effects have been…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-05 Chris Addis , Sêcloka L. Guedezounme , Jessie Hammond , Chris Clarkson , Federico Montano , Stefano Camera , Sheean Jolicoeur , Roy Maartens

Renormalization Group correction to General Relativity (RGGR) proposes a logarithmic running of the gravitational coupling $\left(G\right)$, resulting in a modified description of gravity. This has the potential to explain the observed…

General Relativity and Quantum Cosmology · Physics 2024-08-02 Esha Bhatia , Sayan Chakrabarti , Sovan Chakraborty

We show an application of the Wilson Renormalization Group (RG) method to a SU(2 ) gauge field theory in interaction with a massive fermionic doublet. By choosing suitable boundary conditions to the RG equation, i.e. by requiring the…

High Energy Physics - Theory · Physics 2007-05-23 S. Arnone , A. Panza

Modern theories of phase transitions and scale-invariance are rooted in path integral formulation and renormalization group (RG). Despite the applicability of these approaches on simple systems with only pairwise interactions, they are less…

Statistical Mechanics · Physics 2024-05-16 Aohua Cheng , Yunhui Xu , Pei Sun , Yang Tian

We develop a renormalization group (RG) description of the localization properties of onedimensional (1D) quasiperiodic lattice models. The RG flow is induced by increasing the unit cell of subsequent commensurate approximants. Phases of…

Disordered Systems and Neural Networks · Physics 2023-10-10 Miguel Gonçalves , Bruno Amorim , Eduardo V. Castro , Pedro Ribeiro

A renormalization group transformation suitable for spin glass models and, more generally, for disordered models, is presented. The procedure is non-standard in both the nature of the additional interactions and the coarse graining…

Disordered Systems and Neural Networks · Physics 2009-11-07 G. Parisi , R. Petronzio , F. Rosati

We present a method to implement relativistic corrections to the evolution of dark matter structures in Newtonian simulations of a LCDM universe via the initial conditions. We take the nonlinear correspondence between the Lagrangian…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-30 Miguel Enríquez , Juan Carlos Hidalgo , Octavio Valenzuela

A key obstacle to developing a satisfying theory of galaxy evolution is the difficulty in extending analytic descriptions of early structure formation into full nonlinearity, the regime in which galaxy growth occurs. Extant techniques,…

We investigate finite lattice approximations to the Wilson Renormalization Group in models of unconstrained spins. We discuss first the properties of the Renormalization Group Transformation (RGT) that control the accuracy of this type of…

Statistical Mechanics · Physics 2015-06-25 A. Cacciuto , E. B. Gregory , A. Travesset

Galaxy bispectrum is a promising probe of inflationary physics in the early universe as a measure of primordial non-Gaussianity (PNG), whereas its signal-to-noise ratio is significantly affected by the mode coupling due to non-linear…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-13 Masato Shirasaki , Naonori S. Sugiyama , Ryuichi Takahashi , Francisco-Shu Kitaura

I review the standard paradigm for understanding the formation and evolution of cosmic structure, based on the gravitational instability of dark matter, but many variations on this basic theme are viable. Despite the great progress that has…

Astrophysics · Physics 2007-05-23 Peter Coles

The paper discusses extensions of the renormalization group (RG) formalism for 3D incompressible Euler equations, which can be used for describing singularities developing in finite (blowup) or infinite time from smooth initial conditions…

Fluid Dynamics · Physics 2012-05-23 Alexei A. Mailybaev

The renormalization group (RG) is an essential technique in statistical physics and quantum field theory, which considers scale-invariant properties of physical theories and how these theories' parameters change with scaling. Deep learning…

Statistical Mechanics · Physics 2023-08-23 Kelsie Taylor