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Fermionic Functional Renormalization Group

2009
In this chapter we shall derive the fundamental FRG flow equations for one-band models of nonrelativistic fermions. Although these flow equations follow as a special case of the general flow equations derived in Chap. 7, it is still useful to write down these equations explicitly in order to identify the various terms in the vertex expansion with ...
Peter Kopietz   +2 more
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Quantum Gravity and the Functional Renormalization Group

, 2019
During the past two decades the gravitational asymptotic safety scenario has undergone a major transition from an exotic possibility to a serious contender for a realistic theory of quantum gravity.
M. Reuter, F. Saueressig
semanticscholar   +1 more source

Functional Renormalization Group (fRG) Study

2021
Here, we study fundamental properties of many body effects in multi-orbital superconductors in an unbiased way. For this purpose, one of the ideal theories is functional renormalization group (fRG) technique. In this chapter, we first introduce the concept of fRG. Then, we apply the fRG for multi-orbital Hubbard model.
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Renormalization-group functions and spectral functions

Physical Review D, 1982
The interplay of the spectral representation and the renormalization group is investigated from a global nonperturbative point of view. A simple physical behavior is strongly indicated for quantum electrodynamics at high energies, with features resembling strong-interaction duality and critical phenomena.
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Wetting transitions: A functional renormalization-group approach

Physical Review B, 1985
A linear functional renormalization group is introduced as a framework in which to treat various wetting transitions of films on substrates. A unified treatment of the wetting transition in three dimensions with short-range interactions is given. The results of Br\'ezin, Halperin, and Leibler in their three different regimes are reproduced along with ...
, Fisher, , Huse
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Quantum gravity and the functional renormalization group: the road towards asymptotic safety

Contemporary physics (Print), 2019
A comprehensive and easily accessible pedagogical introduction to asymptotic safety and the functional renormalisation group in quantum gravity, the book is aimed at graduate students and researche...
E. Howard
semanticscholar   +1 more source

Functional Renormalization Group for Interacting Fermi Systems

Annales Henri Poincaré, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Gauge symmetry and the functional renormalization group

International Journal of Modern Physics A, 2017
In the functional renormalization group (FRG), the introduction of a momentum cutoff often breaks symmetry present in a theory. The most important example is the gauge symmetry. However a symmetry survives in the presence of a cutoff in a modified form. We apply our understanding to QED as the simplest case.
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A Functional Renormalization Group for Gravity

2018
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Reuter, M, Saueressig, F.S.
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Functional renormalization group and quantum tunnelling

Journal of Physics A: Mathematical and General, 2005
A functional renormalization group approach is applied to a single quantum particle with emphasis on quantum tunnelling through a barrier. We include both an effective potential and a wavefunction renormalization and compare the effects of soft cut-off, hard cut-off and Schwinger proper time regulators.
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