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In this letter we explore the dependence on the gauge fixing condition of several quantities in the U(1) Higgs model at finite temperature and chemical potential. We compute the effective potential at the one loop level, using a gauge…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Loewe , S. Mendizabal , R. A. Santos

The standard flow equation for the effective average action can be derived from a Legendre transform of Polchinski's exact renormalization group equation. However, the latter is not well adapted for finding fixed-points with non-zero…

High Energy Physics - Theory · Physics 2011-06-23 Oliver J. Rosten

We include spontaneous symmetry breaking into the functional renormalization group (RG) equations for the irreducible vertices of Ginzburg-Landau theories by augmenting these equations by a flow equation for the order parameter, which is…

Statistical Mechanics · Physics 2011-01-07 Andreas Sinner , Nils Hasselmann , Peter Kopietz

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

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

We calculate the effective action of a superconductor, without assuming that either the electron-electron potential or the Fermi surface obey rotational invariance. This approach leads to the same gap equation and equilibrium free energy as…

Condensed Matter · Physics 2009-10-22 Steven Weinberg

We discuss the gauge parameter dependence of particle spectra in statistical quantum electrodynamics and conclude that the electron spectrum is gauge-parameter dependent. The physical spectrum being obtained in the Landau gauge, which leads…

High Energy Physics - Phenomenology · Physics 2016-08-15 D. Oliva Agüero , H. Pérez Rojas , A. Pérez Martínez , A. Amézaga Hechavarría

A hidden generalized gauge symmetry of a cutoff QED is used to show the renormalizability of QED. In particular, it is shown that corresponding Ward identities are valid all along the renormalization group flow. The exact Renormalization…

High Energy Physics - Theory · Physics 2014-05-15 F. Ardalan , H. Arfaei , M. Ghasemkhani , N. Sadooghi

A renormalization group study of a scalar theory coupled to gravity through a general functional dependence on the Ricci scalar in the action is discussed. A set of non-perturbative flow equations governing the evolution of the new…

High Energy Physics - Phenomenology · Physics 2009-10-30 Alfio Bonanno , Dario Zappalá

The renormalization of the Chern-Simons parameter is investigated by using an exact and manifestly gauge invariant evolution equation for the scale-dependent effective average action.

High Energy Physics - Theory · Physics 2009-10-28 M. Reuter

Within the framework of the functional renormalization group, we derived the flow equations for the scale-dependent effective action at finite temperature for models involving an antisymmetric rank-2 tensor field. The analysis focuses on…

High Energy Physics - Theory · Physics 2026-05-15 Georgii Kalagov

We investigate the renormalization group flows of multicomponent scalar theories with $U(1)$ gauge symmetry using the functional renormalization group method. The scalar sector is built up from traces of matrix fields that belong to simple,…

High Energy Physics - Phenomenology · Physics 2019-08-28 G. Fejos , T. Hatsuda

Renormalization schemes for tan(beta) are discussed in view of their gauge dependence. It is shown that several common renormalization schemes lead to a gauge-dependent definition of tan(beta), whereas two classes of gauge-independent…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ayres Freitas , Dominik Stöckinger

A derivative expansion of the effective average action beyond first order yields renormalization group functional flow equations which are used for the computation of critical exponents of the Ising universality class. The critical exponent…

High Energy Physics - Theory · Physics 2007-05-23 H. Ballhausen

The critical effective potential is the nonperturbative part of the effective action at a phase transition. It equals the scale invariant effective average potential and can be calculated from the renormalization group flow of the effective…

High Energy Physics - Theory · Physics 2007-05-23 H. Ballhausen

We calculate the two-loop renormalization group (RG) beta-function of a massless scalar field theory from the irreducible version of Polchinski's exact RG flow equation. To obtain the correct two-loop result within this method, it is…

High Energy Physics - Theory · Physics 2009-10-31 Peter Kopietz

Using the exact renormalization group (ERG) formalism, we study the gauge invariant composite operators in QED. Gauge invariant composite operators are introduced as infinitesimal changes of the gauge invariant Wilson action. We examine the…

High Energy Physics - Theory · Physics 2015-06-17 Hidenori Sonoda

We discuss structural aspects of the functional renormalisation group. Flows for a general class of correlation functions are derived, and it is shown how symmetry relations of the underlying theory are lifted to the regularised theory. A…

High Energy Physics - Theory · Physics 2010-04-06 Jan M. Pawlowski

We combine two non-perturbative approaches, one based on the two-particle-irreducible (2PI) action, the other on the functional renormalization group (fRG), in an effort to develop new non-perturbative approximations for the field…

High Energy Physics - Theory · Physics 2021-07-14 Jean-Paul Blaizot , Jan M. Pawlowski , Urko Reinosa

We present an extension of the functional renormalization group (FRG) framework developed to compute critical probability distributions of the order parameter to momentum-dependent observables. Focusing on the constraint effective action at…

Statistical Mechanics · Physics 2026-05-08 Félix Rose , Adam Rançon , Ivan Balog
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