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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

We explore the properties of a recently proposed background independent exact renormalization group approach to gauge theories and gravity. In the process we also develop the machinery needed to study it rigorously. The proposal comes with…

High Energy Physics - Theory · Physics 2023-03-23 Vlad-Mihai Mandric , Tim R. Morris

According to the asymptotic-safety conjecture, the gravitational renormalization group flow features an ultraviolet-attractive fixed point that makes the theory renormalizable and ultraviolet complete. The existence of this fixed point…

General Relativity and Quantum Cosmology · Physics 2020-06-29 Alessia Platania

We investigate the renormalization of ``nonlocal'' interactions in an effective field theory using dimensional regularization with minimal subtraction. In a scalar field theory, we write an integro-differential renormalization group…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Bhansali , H. Georgi

We suggest a new, renormalization group (RG) based, nonperturbative method for treating the intermittency problem of fully developed turbulence which also includes the effects of a finite boundary of the turbulent flow. The key idea is not…

chao-dyn · Physics 2007-05-23 Alexander Esser , Siegfried Grossmann

We start with a simple introduction into the renormalization group (RG) in quantum field theory and give an overview of the renormalization group method. The third section is devoted to essential topics of the renorm-group use in the QFT.…

High Energy Physics - Theory · Physics 2007-05-23 D. V. Shirkov

We employ renormalization group (RG) summation techniques to obtain portions of Laplace QCD sum rules for scalar gluon currents beyond the order to which they have been explicitly calculated. The first two of these sum rules are considered…

High Energy Physics - Phenomenology · Physics 2016-01-29 Farrukh Chishtie , T. G. Steele , D. G. C. McKeon

Exploiting symmetries in the numerical renormalization group (NRG) method significantly enhances performance by improving accuracy, increasing computational speed, and optimizing memory efficiency. Published codes focus on continuous…

Strongly Correlated Electrons · Physics 2024-09-19 Aitor Calvo-Fernández , María Blanco-Rey , Asier Eiguren

we investigate the exact renormalization group (RG) in Einstein gravity coupled to N-component scalar field, working in the effective average action formalism and background field method. The truncated evolution equation is obtained for the…

High Energy Physics - Theory · Physics 2009-11-11 L. N. Granda

A short introduction is given on the functional renormalization group method, putting emphasis on its nonperturbative aspects. The method enables to find nontrivial fixed points in quantum field theoretic models which make them free from…

High Energy Physics - Theory · Physics 2014-08-15 Sandor Nagy

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

The renormalization group (RG) constitutes a fundamental framework in modern theoretical physics. It allows the study of many systems showing states with large-scale correlations and their classification in a relatively small set of…

Statistical Mechanics · Physics 2024-09-04 Guido Caldarelli , Andrea Gabrielli , Tommaso Gili , Pablo Villegas

We discuss exact renormalization group (RG) in $R^2$-gravity using effective average action formalism. The truncated evolution equation for such a theory on De Sitter background leads to the system of nonperturbative RG equations for…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Bytsenko , L. N. Granda , S. D. Odintsov

We use nonequilibrium renormalization group (RG) techniques to analyze the thermalization process in quantum field theory, and by extension reheating after inflation. Even if at a high scale $\Lambda$ the theory is described by a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Juan Zanella , Esteban Calzetta

We present the Renormalization Group improvement of the Twin Higgs effective potential at cubic order in logarithmic accuracy. We first introduce a model-independent low-energy effective Lagrangian that captures both the…

High Energy Physics - Phenomenology · Physics 2016-11-22 Davide Greco , Kin Mimouni

Suggested theory involves a drastic revision of a role of local internal symmetries in physical concept of curved geometry. Under the reflection of fields and their dynamics from Minkowski to Riemannian space a standard gauge principle of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. T. Ter-Kazarian

Asymptotically safe theories of gravitation have received great attention in recent times. In this framework an effective action embodying the basic features of the renormalized flow around the non-gaussian fixed point is derived and its…

High Energy Physics - Theory · Physics 2015-06-04 Alfio Bonanno

A nonconventional renormalization-group (RG) treatment close to and below four dimensions is used to explore, in a unified and systematic way, the low-temperature properties of a wide class of systems in the influence domain of their…

Statistical Mechanics · Physics 2009-11-13 M. T. Mercaldo , L. De Cesare , I. Rabuffo , A. Caramico D'Auria

We describe a renormalization group transformation that is related to the breakup of golden invariant tori in Hamiltonian systems with two degrees of freedom. This transformation applies to a large class of Hamiltonians, is conceptually…

chao-dyn · Physics 2009-10-31 Juan J. Abad , Hans Koch , Peter Wittwer

In linearized quantum gravity, a shift of the average energy-momentum can be compensated by a shift of the average gravitational field. This allows a renormalization scheme that naturally removes the contribution of quantum vacuum…

General Relativity and Quantum Cosmology · Physics 2007-08-28 H. Nikolic