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Through appropriate projections of an exact renormalization group equation, we study fixed points, critical exponents and nontrivial renormalization group flows in scalar field theories in $2<d<4$. The standard upper critical dimensions…

High Energy Physics - Theory · Physics 2009-10-22 Peter E. Haagensen , Yuri Kubyshin , Jose I. Latorre , Enrique Moreno

We make a few general comments on the Renormalization Group flows in certain Yang-Mills theories in the vicinity of phase transitions. We then present a model in d=5 with non-periodic boundary conditions where a possible RG flow starts from…

High Energy Physics - Theory · Physics 2018-03-09 Nikos Irges

The renormalization-group method is used to analyze the low-temperature behaviour of a two-dimentional, spin-$s$ quantum Heisenberg ferromagnet. A set of recursion equations is derived in an one-loop approximation. The low-temperature…

Condensed Matter · Physics 2009-10-28 Naoum Karchev

In this letter we study renormalization group (RG) flows between 2d conformal field theories enjoying extended higher-spin $\mathcal{W}$-symmetry. We propose a new class of RG flows between the diagonal minimal models of…

High Energy Physics - Theory · Physics 2026-01-27 Federico Ambrosino , Tomáš Procházka

The vulcanization transition - the crosslink-density-controlled equilibrium phase transition from the liquid to the amorphous solid state - is explored analytically from a renormalization group perspective. The analysis centers on a minimal…

Disordered Systems and Neural Networks · Physics 2009-10-31 Weiqun Peng , Paul M. Goldbart

We propose a renormalization group flow equation for a functional that generates $S$-matrix elements and which captures similarities to the well-known Wetterich and Polchinski equations. While the latter ones respectively involve the…

High Energy Physics - Theory · Physics 2025-09-09 Laurent Freidel , José Padua-Argüelles , Susanne Schander , Marc Schiffer

We propose a novel scheme for the exact renormalisation group motivated by the desire of reducing the complexity of practical computations. The key idea is to specify renormalisation conditions for all inessential couplings, leaving us with…

High Energy Physics - Theory · Physics 2022-10-12 Alessio Baldazzi , Riccardo Ben Alì Zinati , Kevin Falls

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

A real space Renormalization Group approach is presented for a non-mean field spin-glass. This approach has been conceived in the effort to develop an alternative method to the Renormalization Group approaches based on the replica method.…

Disordered Systems and Neural Networks · Physics 2014-09-09 Michele Castellana

Although well described by mean-field theory in the thermodynamic limit, scaling has long been puzzling for finite systems in high dimensions. This raised questions about the efficacy of the renormalization group and foundational concepts…

Statistical Mechanics · Physics 2023-08-16 T. Ellis , R. Kenna , B. Berche

We study the renormalization group flow in weak power counting (WPC) renormalizable theories. The latter are theories which, after being formulated in terms of certain variables, display only a finite number of independent divergent…

High Energy Physics - Theory · Physics 2015-06-22 D. Bettinelli , D. Binosi , A. Quadri

The construction of a generalized (higher-order) nonlinear thermo-hydrodynamics, based on a nonequilibrium ensemble formalism has been presented in the preceding article. The working of such theory is illustrated in the present one. We…

Statistical Mechanics · Physics 2007-05-23 J. Galvão Ramos , Áurea R. Vasconcellos , Roberto Luzzi

We apply to the calculation of the pressure of a hot scalar field theory a method that has been recently developed to solve the Non-Perturbative Renormalization Group. This method yields an accurate determination of the momentum dependence…

High Energy Physics - Phenomenology · Physics 2011-01-17 Jean-Paul Blaizot , Andreas Ipp , Nicolás Wschebor

We develop a new renormalization group approach to the large-N limit of matrix models. It has been proposed that a procedure, in which a matrix model of size (N-1) \times (N-1) is obtained by integrating out one row and column of an N…

High Energy Physics - Theory · Physics 2015-06-05 Shoichi Kawamoto , Tsunehide Kuroki , Dan Tomino

We project the Wilson/Polchinski renormalization group equation onto its uniform external field dependent effective free energy and connected Green's functions. The result is a hierarchy of equations which admits a choice of "natural"…

High Energy Physics - Theory · Physics 2007-05-23 Geoffrey R. Golner

We study different renormalisation group flows for scale dependent effective actions, including exact and proper-time renormalisation group flows. These flows have a simple one loop structure. They differ in their dependence on the full…

High Energy Physics - Theory · Physics 2009-11-07 Daniel F. Litim , Jan M. Pawlowski

We present a theory for the construction of renormalized kinetic equations to describe the dynamics of classical systems of particles in or out of equilibrium. A closed, self-consistent set of evolution equations is derived for the…

Classical Physics · Physics 2011-06-09 Jerome Daligault

This article provides a Wilsonian description of the perturbatively renormalizable Tensorial Group Field Theory introduced in arXiv:1303.6772 [hep-th] (Commun. Math. Phys. 330, 581-637). It is a rank-3 model based on the gauge group SU(2),…

High Energy Physics - Theory · Physics 2015-04-14 Sylvain Carrozza

We investigate the renormalization group flows of multicomponent scalar theories with $U(1)$ gauge symmetry using the functional renormalization group method. The scalar sector is built up from traces of matrix fields that belong to simple,…

High Energy Physics - Phenomenology · Physics 2019-08-28 G. Fejos , T. Hatsuda

Using the machinery of smooth scaling and coarse-graining of observables, developed recently in the context of so-called fluctuation operators (originally developed by Verbeure et al), we extend this approach to a rigorous renormalisation…

Statistical Mechanics · Physics 2007-05-23 Manfred Requardt