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We apply the nonperturbative functional renormalization group (NP-FRG) in the superfield formalism that we have developed in the preceding paper to study long-standing issues concerning the critical behavior of the random field Ising model.…

Statistical Mechanics · Physics 2013-05-30 Matthieu Tissier , Gilles Tarjus

We propose when and why symmetry enhancements happen in massless renormalization group (RG) flows to two-dimensional rational conformal field theories (RCFTs). We test our proposal against known RG flows from unitary minimal models. We also…

High Energy Physics - Theory · Physics 2022-06-23 Ken Kikuchi

Critical states are studied by a real space RG in the problem with strong diagonal disorder and long range power law hopping. The RG flow of the distribution of coupling parameters is characterized by a family of non-trivial fix points. We…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 L. S. Levitov

We present a renormalization group (RG) approach to explain universal features of extreme statistics, applied here to independent, identically distributed variables. The outlines of the theory have been described in a previous Letter, the…

Statistical Mechanics · Physics 2015-05-18 G. Gyorgyi , N. R. Moloney , K. Ozogany , Z. Racz , M. Droz

A classification of critical behavior is provided in systems for which the renormalization group equations are control-parameter dependent. It describes phase transitions in networks with a recursive, hierarchical structure but appears to…

Statistical Mechanics · Physics 2015-05-12 Stefan Boettcher , Trent Brunson

The topological phase transitions in static and periodically driven Kitaev chains are investigated by means of a renormalization group (RG) approach. These transitions, across which the numbers of static or Floquet Majorana edge modes…

Strongly Correlated Electrons · Physics 2018-09-26 Paolo Molignini , Wei Chen , R. Chitra

The critical behavior of an MN-component order parameter Ginzburg-Landau model with isotropic and cubic interactions describing antiferromagnetic and structural phase transitions in certain crystals with complicated ordering is studied in…

Statistical Mechanics · Physics 2007-05-23 A. I. Mudrov , K. B. Varnashev

Some renormalization group approaches have been proposed during the last few years which are close in spirit to the Nightingale phenomenological procedure. In essence, by exploiting the finite size scaling hypothesis, the approximate…

Statistical Mechanics · Physics 2015-06-25 J. A. Plascak , W. Figueiredo , B. C. S. Grandi

The quantum evolution equations for the field expectation value are analytically solved to cubic order in the field amplitude and to one-loop level in the lambda phi-fourth model. We adapt and use the renormalization group (RG) method for…

High Energy Physics - Theory · Physics 2009-10-30 H. J. de Vega , J. F. J. Salgado

We present real--space renormalization group (RG) calculations of the critical properties of the random--field Ising model on a cubic lattice in three dimensions. We calculate the RG flows in a two--parameter truncation of the Hamiltonian…

Condensed Matter · Physics 2009-10-22 M. E. J. Newman , B. W. Roberts , G. T. Barkema , J. P. Sethna

We consider the O(N)-symmetric phi4 theory in two and three dimensions and determine the nonperturbative mass renormalization needed to obtain the phi4 continuum theory. The required nonperturbative information is obtained by resumming…

High Energy Physics - Theory · Physics 2015-12-22 Andrea Pelissetto , Ettore Vicari

The functional renormalization group (FRG) provides a flexible tool to study correlations in low-dimensional electronic systems. In this paper, we present a novel FRG approach to the steady-state of quantum wires out of thermal equilibrium.…

Strongly Correlated Electrons · Physics 2020-12-08 Christian Klöckner , Dante Marvin Kennes , Christoph Karrasch

The motivation and the challenge in applying the renormalization group for systems with several scaling regimes is briefly outlined. The four dimensional $\phi^4$ model serves as an example where a nontrivial low energy scaling regime is…

High Energy Physics - Theory · Physics 2016-08-25 Jean Alexandre , Vincenzo Branchina , Janos Polonyi

A large set of relevant deformations of the ABJM field theory on a stack of M2 branes is captured holographically by D=4 N=8 SO(8)-gauged supergravity, which has accordingly been applied to study renormalisation group (RG) flows of the…

High Energy Physics - Theory · Physics 2015-11-02 Javier Tarrio , Oscar Varela

The renormalization group (RG) is known to provide information about radiative corrections beyond the order in perturbation theory to which one has calculated explicitly. We first demonstrate the effect of the renormalization scheme used on…

High Energy Physics - Theory · Physics 2011-07-19 V. Elias , D. G. C. McKeon , T. N. Sherry

Technological progress in material synthesis, as well as artificial realization of condensed matter scenarios via ultra-cold atomic gases in optical lattices or epitaxial growth of thin films, is opening the gate to investigate a plethora…

Superconductivity · Physics 2015-06-17 Christian Platt , Werner Hanke , Ronny Thomale

We propose inverse renormalization group transformations within the context of quantum field theory that produce the appropriate critical fixed point structure, give rise to inverse flows in parameter space, and evade the critical slowing…

High Energy Physics - Lattice · Physics 2022-02-25 Dimitrios Bachtis , Gert Aarts , Francesco Di Renzo , Biagio Lucini

We generalize the application of the functional renormalization group (fRG) method for the fermionic flow into the symmetry-broken phase to finite temperatures. We apply the scheme to the case of a broken discrete symmetry: the…

Strongly Correlated Electrons · Physics 2009-09-29 Roland Gersch , Carsten Honerkamp , Daniel Rohe , Walter Metzner

We show that it is possible to use dimensional regularization (DR) beyond the usual $\varepsilon$-expansion in the context of renormalization group (RG) calculations in Critical Phenomena. Based on this fact, we propose a new functional RG…

High Energy Physics - Theory · Physics 2026-04-29 P. Beretta , A. Codello

The operator-theoretic renormalization group (RG) methods are powerful analytic tools to explore spectral properties of field-theoretical models such as quantum electrodynamics (QED) with non-relativistic matter. In this paper these methods…

Mathematical Physics · Physics 2009-07-17 Juerg Froehlich , Marcel Griesemer , Israel Michael Sigal
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