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We study the renormalization group flow in a class of scalar-tensor theories involving at most two derivatives of the fields. We show in general that minimal coupling is self consistent, in the sense that when the scalar self couplings are…

High Energy Physics - Theory · Physics 2015-05-14 Gaurav Narain , Roberto Percacci

Renormalization group flow equations for scalar lambda Phi^4 are generated using three classes of smooth smearing functions. Numerical results for the critical exponent nu in three dimensions are calculated by means of a truncated series…

High Energy Physics - Theory · Physics 2009-10-31 Sen-Ben Liao , Janos Polonyi , Michael Strickland

Tensor models provide a way to access the path-integral for discretized quantum gravity in d dimensions. As in the case of matrix models for two-dimensional quantum gravity, the continuum limit can be related to a Renormalization Group…

General Relativity and Quantum Cosmology · Physics 2017-01-12 Astrid Eichhorn , Tim Koslowski

In this paper we apply the Functional Renormalization Group Equation (FRGE) to the non-commutative scalar field theory proposed by Grosse and Wulkenhaar. We derive the flow equation in the matrix representation and discuss the theory space…

High Energy Physics - Theory · Physics 2011-09-19 Tim A. Koslowski , Alessandro Sfondrini

In an earlier publication, we have introduced a method to obtain, at large N, the effective action for d-dimensional manifolds in a N-dimensional disordered environment. This allowed to obtain the Functional Renormalization Group (FRG)…

Disordered Systems and Neural Networks · Physics 2010-04-05 Pierre Le Doussal , Kay Joerg Wiese

We extend the Hertz-Millis theory of quantum phase transitions in itinerant electron systems to phases with broken discrete symmetry. Using a set of coupled flow equations derived within the functional renormalization group framework, we…

Strongly Correlated Electrons · Physics 2009-11-13 P. Jakubczyk , P. Strack , A. A. Katanin , W. Metzner

We derive renormalised finite functional flow equations for quantum field theories in real and imaginary time that incorporate scale transformations of the renormalisation conditions, hence implementing a flowing renormalisation. The flows…

Self-consistent new renormalization group flow equations for an O(N)-symmetric scalar theory are approximated in next-to-leading order of the derivative expansion. The Wilson-Fisher fixed point in three dimensions is analyzed in detail and…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. -J. Schaefer , O. Bohr , J. Wambach

These lectures serve as an introduction to the renormalization group approach to effective field theories, with emphasis on systems with a Fermi surface. For such systems, demanding appropriate scaling with respect to the renormalization…

Condensed Matter · Physics 2007-05-23 A. Campbell-Smith , N. E. Mavromatos

The pseudofermion functional renormalization group (pf-FRG) is one of the few numerical approaches that has been demonstrated to quantitatively determine the ordering tendencies of frustrated quantum magnets in two and three spatial…

Strongly Correlated Electrons · Physics 2018-02-21 Finn Lasse Buessen , Dietrich Roscher , Sebastian Diehl , Simon Trebst

We propose a gauge-invariant version of Wilson Renormalization Group for thermal field theories in real time. The application to the computation of the thermal masses of the gauge bosons in an SU(N) Yang-Mills theory is discussed.

High Energy Physics - Theory · Physics 2009-10-30 Marco D'Attanasio , Massimo Pietroni

Nonthermal fixed points represent basic properties of quantum field theories, in addition to vacuum or thermal equilibrium fixed points. The functional renormalization group on a closed real-time path provides a common framework for their…

High Energy Physics - Theory · Physics 2009-05-26 J. Berges , G. Hoffmeister

According to the available publications, the field theoretical renormalization group (RG) approach in the two-dimensional case gives the critical exponents that differ from the known exact values. This fact was attempted to explain by the…

Statistical Mechanics · Physics 2009-11-13 A. A. Pogorelov , I. M. Suslov

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

In the framework of the functional renormalization group (FRG) we present a simple truncation scheme for the computation of real-time mesonic n-point functions, consistent with the derivative expansion of the effective action. Via analytic…

High Energy Physics - Phenomenology · Physics 2014-03-19 Kazuhiko Kamikado , Nils Strodthoff , Lorenz von Smekal , Jochen Wambach

We implement the temperature flow scheme first proposed by Honerkamp and Salmhofer in Phys.~Rev.~B 64, 184516 (2001) into the pseudo-Majorana functional renormalization group method for quantum spin systems. Since the renormalization group…

Strongly Correlated Electrons · Physics 2025-01-28 Benedikt Schneider , Johannes Reuther , Matías G. Gonzalez , Björn Sbierski , Nils Niggemann

Working with scalar field theories, we discuss choices of regulator that, inserted in the functional renormalization group equation, reproduce the results of dimensional regularization at one and two loops. The resulting flow equations can…

High Energy Physics - Theory · Physics 2021-04-28 Alessio Baldazzi , Roberto Percacci , Luca Zambelli

The Renormalization Group Flow Equations of the Scalar-QED model near Planck's scale are computed within the framework of the average effective action. Exact Flow Equations, corrected by Einstein Gravity, for the running self-interacting…

High Energy Physics - Theory · Physics 2009-10-30 Gentil O. Pires

Dynamic equations for quantum fields far from equilibrium are derived by use of functional renormalisation group techniques. The obtained equations are non-perturbative and lead substantially beyond mean-field and quantum Boltzmann type…

Other Condensed Matter · Physics 2008-11-27 Thomas Gasenzer , Jan M. Pawlowski

We continue the study of the renormalization group and decoupling of massive fields in curved space, started in the previous article and analyse the higher derivative sector of the vacuum metric-dependent action of the Standard Model. The…

High Energy Physics - Phenomenology · Physics 2009-11-10 Eduard V. Gorbar , Ilya L. Shapiro