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Related papers: Scaling functions from q-deformed Virasoro charact…

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Scale evolution of interactions between a Weyl fermion and a heavy magnetic impurity is calculated non-perturbatively using the functional renormalization group technique. Using an expansion around the vanishing pairing gap, we derive the…

High Energy Physics - Phenomenology · Physics 2023-10-27 Gergely Fejős , Taro Kimura , Zsolt Szép

Recently, the connections between gradient flow and renormalization group have been explored analytically and numerically. Gradient flow (when modified by a field rescaling) can be characterized as a continuous blocking transformation. In…

High Energy Physics - Lattice · Physics 2019-12-05 Andrea Carosso , Anna Hasenfratz , Ethan T. Neil

Following an approach of Matarrese and Pietroni, we derive the functional renormalization group (RG) flow of the effective action of cosmological large-scale structures. Perturbative solutions of this RG flow equation are shown to be…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-01 Stefan Floerchinger , Mathias Garny , Nikolaos Tetradis , Urs Achim Wiedemann

The critical behavior of the chiral quark-meson model is studied within the Functional Renormalization Group (FRG). We derive the flow equation for the scale dependent thermodynamic potential at finite temperature and density in the…

High Energy Physics - Phenomenology · Physics 2014-11-18 B. Stokic , B. Friman , K. Redlich

We propose a continuous real space renormalization group transformation based on gradient flow, allowing for a numerical study of renormalization without the need for costly ensemble matching. We apply our technique in a pilot study of…

High Energy Physics - Lattice · Physics 2018-11-19 Andrea Carosso , Anna Hasenfratz , Ethan T. Neil

Shell models are simplified models of hydrodynamic turbulence, retaining only some essential features of the original equations, such as the non-linearity, symmetries and quadratic invariants. Yet, they were shown to reproduce the most…

Fluid Dynamics · Physics 2023-11-29 Côme Fontaine , Malo Tarpin , Freddy Bouchet , Léonie Canet

We investigate the effect of long-range Coulomb interaction on the quasiparticle properties and the dielectric function of clean three-dimensional Weyl semimetals at zero temperature using a functional renormalization group (FRG) approach.…

Strongly Correlated Electrons · Physics 2018-03-15 Anand Sharma , Arthur Scammell , Jan Krieg , Peter Kopietz

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

Our community has a deep and sophisticated understanding of phase transitions and their universal scaling functions. We outline and advocate an ambitious program to use this understanding as an anchor for describing the surrounding phases.…

Statistical Mechanics · Physics 2025-01-24 James P. Sethna , David Hathcock , Jaron Kent-Dobias , Archishman Raju

We present a functional renormalization group (fRG) formalism for interacting fermions on lattices that captures the flow into states with commensurate spin-density wave order. During the flow, the growth of the order parameter is fed back…

Strongly Correlated Electrons · Physics 2014-07-31 Stefan A. Maier , Andreas Eberlein , Carsten Honerkamp

Based on the quantum superspace construction of $q$-deformed algebra, we discuss a supersymmetric extension of the deformed Virasoro algebra, which is a subset of the $q$-$W_{\infty}$ algebra recently appeared in the context of…

High Energy Physics - Theory · Physics 2009-10-30 Naruhiko Aizawa , Tatsuo Kobayashi , Haru-Tada Sato

We discuss the relation between functional renormalization group (FRG) and local renormalization group (LRG), focussing on the two dimensional case as an example. We show that away from criticality the Wess-Zumino action is described by a…

High Energy Physics - Theory · Physics 2015-06-24 Alessandro Codello , Giulio D'Odorico , Carlo Pagani

Gradient flow has proved useful in the definition and measurement of renormalized quantities on the lattice. Recently, the fact that it suppresses high-modes of the field has been used to construct new, continuous RG transformations both…

High Energy Physics - Lattice · Physics 2018-11-09 Andrea Carosso , Anna Hasenfratz , Ethan T. Neil

We study two-dimensional spherical defects in d-dimensional Conformal Field Theories. We argue that the Renormalization Group (RG) flows on such defects admit the existence of a decreasing entropy function. At the fixed points of the flow,…

High Energy Physics - Theory · Physics 2023-12-13 Tom Shachar , Ritam Sinha , Michael Smolkin

Renormalization Group domain walls are natural conformal interfaces between two CFTs related by an RG flow. The RG domain wall gives an exact relation between the operators in the UV and IR CFTs. We propose an explicit algebraic…

High Energy Physics - Theory · Physics 2015-06-03 Davide Gaiotto

We propose a new finite volume renormalization scheme. Our scheme is based on the Gradient Flow applied to both fermion and gauge fields and, much like the Schr\"odinger functional method, allows for a nonperturbative determination of the…

High Energy Physics - Lattice · Physics 2014-02-04 Christopher Monahan , Kostas Orginos

In this article we wish to present a new method to obtain spectral functions at finite temperature and density from the Functional Renormalization Group (FRG). The FRG offers a powerful non-perturbative tool to deal with phase transitions…

High Energy Physics - Phenomenology · Physics 2014-09-17 Jochen Wambach , Ralf-Arno Tripolt , Nils Strodthoff , Lorenz von Smekal

We derive new finitized fermionic characters for the superconformal unitary minimal models by interpreting the RSOS configuration sums as fermi-gas partition functions. This extends to the supersymmetric case the method introduced by…

High Energy Physics - Theory · Physics 2008-11-26 P. Jacob , P. Mathieu

The perturbative renormalization of the Ginzburg-Landau model is reconsidered based on the Feynman diagram technique. We derive renormalization group (RG) flow equations, exactly calculating all vertices appearing in the perturbative…

Statistical Mechanics · Physics 2011-08-29 J. Kaupuzs

We apply the standard Wilson-Kadanoff (WK) momentum-space Renormalization Group (RG) scheme for the g-ology model of one-dimensional fermions. By explicitly carrying out calculations at the two-loop level, we show how the RG flow equations…

Strongly Correlated Electrons · Physics 2009-11-07 G. Y. Chitov , C. Bourbonnais