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In this thesis, we perform a comprehensive renormalization group analysis of two- and three-dimensional Fermi systems at low and zero temperature. We examine systems with spontaneous symmetry-breaking and quantum critical behavior by…

Strongly Correlated Electrons · Physics 2012-10-09 Philipp Strack

We review a recently developed formalism for computing thermoelectric coefficients in correlated matter. The usual difficulties of such a calculation are circumvented by a careful generalization the transport formalism to finite…

Strongly Correlated Electrons · Physics 2026-01-14 B Sriram Shastry

We use the functional renormalization group (FRG) to derive analytical expressions for thermodynamic observables (density, pressure, entropy, and compressibility) as well as for single-particle properties (wavefunction renormalization and…

Quantum Gases · Physics 2017-01-19 Jan Krieg , Dominik Strassel , Simon Streib , Sebastian Eggert , Peter Kopietz

We derive spectral representations for the different components of the 4-point function at finite temperature in the real time formalism in terms of five real spectral densities. We explicitly calculate all these functions in QED in the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Hou Defu , M. E. Carrington , R. Kobes , U. Heinz

The maximum entropy method is used to compute the quark spectral function at nonzero temperature. We solve the gap equation of quantum chromodynamics (QCD) self-consistently, employing a rainbow kernel which phenomenologically models…

Nuclear Theory · Physics 2013-09-12 Si-xue Qin , Dirk H. Rischke

We study a recently proposed quantum action depending on temperature. We construct a renormalisation group equation describing the flow of action parameters with temperature. At zero temperature the quantum action is obtained analytically…

High Energy Physics - Theory · Physics 2016-08-16 H. Jirari , H. Kröger , X. Q. Luo , G. Melkonyan , K. J. M. Moriarty

We demonstrate the power of a recently-proposed approximation scheme for the non-perturbative renormalization group that gives access to correlation functions over their full momentum range. We solve numerically the leading-order flow…

Statistical Mechanics · Physics 2009-11-19 F. Benitez , J. -P. Blaizot , H. Chate , B. Delamotte , R. Mendez-Galain , N. Wschebor

The "exact" or "functional" renormalization group equation describes the renormalization group flow of the effective average action $\Gamma_k$. The ordinary effective action $\Gamma_0$ can be obtained by integrating the flow equation from…

High Energy Physics - Theory · Physics 2016-05-25 Alessandro Codello , Roberto Percacci , Leslaw Rachwal , Alberto Tonero

We investigate the QCD chiral phase transition at finite temperature and finite baryon density using the functional Renormalization Group (fRG). While conventional fRG studies often employ techniques such as dynamical bosonization to…

High Energy Physics - Phenomenology · Physics 2025-12-22 Yuepeng Guan , Masatoshi Yamada

The spectral function for finite nuclei is computed within the framework of the Local Density Approximation, starting from nuclear matter spectral functions obtained with a realistic nucleon-nucleon interaction. The spectral function is…

Nuclear Theory · Physics 2008-11-26 D. Van Neck , A. E. L. Dieperink , E. Moya de Guerra

We present the first self-consistent direct calculation of a spectral function in the framework of the Functional Renormalization Group. The study is carried out in the relativistic $O(N)$ model, where the full momentum dependence of the…

High Energy Physics - Theory · Physics 2017-07-07 Nils Strodthoff

We consider quark-gluon plasma with chemical potential and study renormalization group flows of transport coefficients in the framework of gauge/gravity duality. We first study them using the flow equations and compare the results with…

High Energy Physics - Theory · Physics 2012-02-01 Yoshinori Matsuo , Sang-Jin Sin , Yang Zhou

Several density-matrix renormalization group methods have been proposed to compute the momentum- and frequency-resolved dynamical correlation functions of low-dimensional strongly correlated systems. The most relevant approaches are…

Strongly Correlated Electrons · Physics 2009-01-28 Eric Jeckelmann

We present a strategy for estimating the error of truncated functional flow equations. While the basic functional renormalization group equation is exact, approximated solutions by means of truncations do not only depend on the choice of…

Quantum Gases · Physics 2013-04-25 David Schnoerr , Igor Boettcher , Jan M. Pawlowski , Christof Wetterich

We reconsider the problem of the static thermal roughening of an elastic manifold at the critical dimension $d=2$ in a periodic potential, using a perturbative Functional Renormalization Group approach. Our aim is to describe the effective…

Condensed Matter · Physics 2009-10-31 Anusha Hazareesing , Jean-Philippe Bouchaud

Fermionic functional renormalization group (FRG) is applied to describe the superfluid phase transition of the two-component fermionic system with attractive contact interaction. Connection between the fermionic FRG approach and the…

Quantum Gases · Physics 2014-08-19 Yuya Tanizaki , Gergely Fejős , Tetsuo Hatsuda

We re-adapt a spectral renormalization method, introduced in nonlinear optics, to solve the Kohn-Sham (KS) equations of density functional theory (DFT), with a focus on functionals based on the strictly-correlated electrons (SCE) regime,…

Strongly Correlated Electrons · Physics 2020-04-23 Juri Grossi , Ziad H. Musslimani , Michael Seidl , Paola Gori-Giorgi

We present a comprehensive study of the two-flavor Quark--Meson--Diquark (QMD) model by comparing a renormalization approach with a renormalization-group (RG) consistent mean-field formulation based on the functional renormalization group…

High Energy Physics - Phenomenology · Physics 2025-07-29 Hosein Gholami , Lennart Kurth , Ugo Mire , Michael Buballa , Bernd-Jochen Schaefer

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

We revisit the two-dimensional quantum Ising model by computing renormalization group flows close to its quantum critical point. The low but finite temperature regime in the vicinity of the quantum critical point is squashed between two…

Statistical Mechanics · Physics 2014-11-20 P. Strack , P. Jakubczyk
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