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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

The exact renormalisation group equation is studied for a two-dimensional theory with exponential interaction and a background charge at infinity. The motivation for studying this interaction is the flow between unitary minimal models…

High Energy Physics - Theory · Physics 2009-10-31 Lars Kjaergaard

We prove the renormalizability of a gauge-invariant, four-dimensional GFT model on SU(2), whose defining interactions correspond to necklace bubbles (found also in the context of new large-N expansions of tensor models), rather than melonic…

General Relativity and Quantum Cosmology · Physics 2017-09-14 Sylvain Carrozza , Vincent Lahoche , Daniele Oriti

We derive an efficient and unbiased method for computing order parameters in correlated electron systems with competing instabilities. Charge, magnetic and pairing fluctuations above the energy scale of spontaneous symmetry breaking are…

Strongly Correlated Electrons · Physics 2014-04-02 Jing Wang , Andreas Eberlein , Walter Metzner

Using functional renormalization group methods, we study an effective low-energy model describing the Ising-nematic quantum critical point in two-dimensional metals. We treat both gapless fermionic and bosonic degrees of freedom on equal…

Strongly Correlated Electrons · Physics 2012-06-25 Casper Drukier , Lorenz Bartosch , Aldo Isidori , Peter Kopietz

Meson-antimeson mixing provides the most stringent constraints on baryon- and lepton-number conserving New Physics, probing scales higher than $10^5$ TeV. In the context of the effective theory of weak interactions, these constraints…

High Energy Physics - Phenomenology · Physics 2019-11-04 Luca Silvestrini , Mauro Valli

A family of multispecies Ising models on generalized regular random graphs is investigated in the thermodynamic limit. The architecture is specified by class-dependent couplings and magnetic fields. We prove that the magnetizations,…

Mathematical Physics · Physics 2024-03-22 Diego Alberici , Pierluigi Contucci , Emanuele Mingione , Filippo Zimmaro

Old folklore says that there is no non-trivial renormalization group fixed point with $U(1)$ gauge symmetry in four dimensions, but it can be circumvented by the existence of magnetic monopoles. We propose to construct (potentially…

High Energy Physics - Theory · Physics 2023-03-15 Yu Nakayama

We have developed a nonperturbative functional renormalization group approach for random field models and related disordered systems for which, due to the existence of many metastable states, conventional perturbation theory often fails.…

Statistical Mechanics · Physics 2011-07-20 Gilles Tarjus , Matthieu Tissier

The Wilsonian renormalization group (RG) method is applied to finite temperature systems for the study of non-perturbative methods in the field theory. We choose the O(N) linear sigma model as the first step. Under the local potential…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Umekawa , K. Naito , M. Oka

A self-consistent renormalization scheme at finite temperature and zero momentum is used together with the finite temperature renormalization group to study the temperature dependence of the mass and the coupling to one-loop order in the…

High Energy Physics - Phenomenology · Physics 2009-10-22 Per Elmfors

Perturbation theory, as well as most thermal field resummation methods widely used to study finite-temperature quantum field theories, presents a non-negligible renormalization scale dependence. To address this limitation, we propose an…

High Energy Physics - Phenomenology · Physics 2026-05-11 Lucas G. Câmara , Marcus Benghi Pinto , Rudnei O. Ramos

We study the surface critical behavior of semi-infinite systems belonging to the bulk universality class of the Ising model. Special attention is paid to the local behavior of experimentally relevant quantities such as the order parameter…

Condensed Matter · Physics 2009-10-28 A. Ciach , U. Ritschel

We use the functional renormalization group equation for the effective average action to study the fixed point structure of gravity-fermion systems on a curved background spacetime. We approximate the effective average action by the…

High Energy Physics - Theory · Physics 2020-10-06 Jesse Daas , Wouter Oosters , Frank Saueressig , Jian Wang

U(1) lattice gauge theory with $\theta$-term is investigated by real space renormalization group approach. Flows of renormalized coupling constants are analyzed. For each $\theta$, renormalization flows converge to a single trajectory…

High Energy Physics - Lattice · Physics 2017-03-08 Ahmed Sayed HASSAN , Masahiro IMACHI , Hiroshi YONEYAMA

The interaction-induced orbital magnetic response of a nanoscale ring is evaluated for a diffusive system which is a superconductor in the bulk. The interplay of the renormalized Coulomb and Fr\"{o}hlich interactions is crucial. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 A. Aharony , O. Entin-Wohlman , Y. Imry

The functional renormalization group provides an efficient description of the interplay and competition of correlations on different energy scales in interacting Fermi systems. An exact hierarchy of flow equations yields the gradual…

Strongly Correlated Electrons · Physics 2008-10-06 Sabine Andergassen , Tilman Enss , Christoph Karrasch , Volker Meden

Using a nonperturbative functional renormalization-group approach to the two-dimensional quantum O($N$) model, we compute the low-frequency limit $\omega\to 0$ of the zero-temperature conductivity in the vicinity of the quantum critical…

Strongly Correlated Electrons · Physics 2017-01-25 Félix Rose , Nicolas Dupuis

We define the renormalization group flow for a renormalizable interacting quantum field in curved spacetime via its behavior under scaling of the spacetime metric, $\g \to \lambda^2 \g$. We consider explicitly the case of a scalar field,…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Stefan Hollands , Robert M. Wald

In this review article we briefly summarize the main experimental properties of (III,Mn)V ferromagnets and outline several different but related approaches that have been explored in an effort to gain insight into these materials. The main…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. König , J. Schliemann , T. Jungwirth , A. H. MacDonald