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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

A renormalization-group scheme is developed for the 3-dimensional O($2N$)-symmetric Ginzburg-Landau-Wilson model, which is consistent with the use of a 1/N expansion as a systematic method of approximation. It is motivated by an application…

Statistical Mechanics · Physics 2009-11-07 Ian D. Lawrie , Dominic J. Lee

Drawing on analogies with the commutative case, the Wilsonian picture of renormalization is developed for noncommutative scalar field theory. The dimensionful noncommutativity parameter, theta, induces several new features. Fixed-points are…

High Energy Physics - Theory · Physics 2009-08-03 Razvan Gurau , Oliver J. Rosten

We further develop an algorithmic and diagrammatic computational framework for very general exact renormalization groups, where the embedded regularisation scheme, parametrised by a general cutoff function and infinitely many higher point…

High Energy Physics - Theory · Physics 2009-11-10 Stefano Arnone , Antonio Gatti , Tim R. Morris , Oliver J. Rosten

A perturbative renormalization group method is used to obtain steady-state density profiles of a particle non-conserving asymmetric simple exclusion process. This method allows us to obtain a globally valid solution for the density profile…

Statistical Mechanics · Physics 2017-04-05 Sutapa Mukherji

We review and extend in several directions recent results on the asymptotic safety approach to quantum gravity. The central issue in this approach is the search of a Fixed Point having suitable properties, and the tool that is used is a…

High Energy Physics - Theory · Physics 2013-08-28 Alessandro Codello , Roberto Percacci , Christoph Rahmede

The Kadanoff-Wilson renormalization group approach for a scalar self-interacting field theor generally coupled with gravity is presented. An average potential that monitors the fluctuations of the blocked field in different scaling regimes…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Alfio Bonanno

We discuss motivation and goals of renormalization analyses of group field theory models of simplicial 4d quantum gravity, and review briefly the status of this research area. We present some new computations of perturbative GFT (spin foam)…

High Energy Physics - Theory · Physics 2021-05-07 Marco Finocchiaro , Daniele Oriti

Approximately 10 years ago, the method of renormalization-group symmetries entered the field of boundary value problems of classical mathematical physics, stemming from the concepts of functional self-similarity and of the Bogoliubov…

Mathematical Physics · Physics 2009-08-11 V. F. Kovalev , D. V. Shirkov

We present updates on the cosmology inference using the effective field theory (EFT) likelihood presented previously in Schmidt et al., 2018, Elsner et al., 2019 [1,2]. Specifically, we add a cutoff to the initial conditions that serve as…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-06 Fabian Schmidt , Giovanni Cabass , Jens Jasche , Guilhem Lavaux

We investigate the renormalization group flow of a gravity--matter system in which a scalar field is minimally coupled to Einstein gravity and its kinetic term is given by a scale-dependent form factor $f_\Lambda(-\Box)$. Employing the…

High Energy Physics - Theory · Physics 2026-05-13 Alfio M. Bonanno , Diego Buccio , Emiliano M. Glaviano , Frank Saueressig

we show there exists a mathematically consistent framework in which the Renormalization Program can be understood in a natural manner. The framework does not require any violations of mathematical rigor usually associated with the…

High Energy Physics - Theory · Physics 2008-11-26 Satish D. Joglekar

The renormalization of the effective field theories (EFTs) in many-body systems is the most pressing and challenging problem in modern nuclear ab initio calculation. For general non-relativistic EFTs, we prove that the renormalization group…

Nuclear Theory · Physics 2023-08-29 Bing-Nan Lu , Bao-Ge Deng

Conventional renormalization methods in statistical physics and lattice quantum field theory assume a flat metric background. We outline here a generalization of such methods to models on discretized spaces without metric background.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Robert Oeckl

A new proof of perturbative renormalizability and infrared finiteness for a scalar massless theory is obtained from a formulation of renormalized field theory based on the Wilson renormalization group. The loop expansion of the renormalized…

High Energy Physics - Theory · Physics 2009-10-22 M. Bonini , M. D'Attanasio , G. Marchesini

Cutoff regularized subleading order ${}^1S_0$ NN potential of effective field theory (EFT) is iterated using Lippmann-Schwinger equation. It is shown that the scattering amplitudes calculated in cutoff and subtractively renormalized EFT are…

Nuclear Theory · Physics 2009-11-07 J. Gegelia , G. Japaridze

A real space renormalization group technique, based on the hierarchical baby-universe structure of a typical dynamically triangulated manifold, is used to study scaling properties of 2d and 4d lattice quantum gravity. In 4d, the…

High Energy Physics - Theory · Physics 2009-10-28 Z. Burda , J. -P. Kownacki , A. Krzywicki

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…

High Energy Physics - Theory · Physics 2014-05-06 C. Bervillier

We investigate the convergence of the derivative expansion of the exact renormalisation group, by using it to compute the beta function of scalar theory. We demonstrate that the derivative expansion of the Polchinski flow equation converges…

High Energy Physics - Theory · Physics 2007-05-23 John F. Tighe

The concept of blind analysis, a key procedure to remove the human-based systematic error called confirmation bias, has long been an integral part of data analysis in many research areas. In cosmology, blind analysis is recently making its…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-11 Samuel Brieden , Héctor Gil-Marín , Licia Verde , José Luis Bernal