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In frustrated magnetism, making a stringent connection between microscopic spin models and macroscopic properties of spin liquids remains an important challenge. A recent step towards this goal has been the development of the pseudofermion…

强关联电子 · 物理学 2018-02-21 Dietrich Roscher , Finn Lasse Buessen , Michael M. Scherer , Simon Trebst , Sebastian Diehl

A simple effective model for the intermediate-density regime is constructed from the high-density effective theory of quantum chromodynamics (QCD). In the effective model, under a renormalization-group (RG) scaling towards low momenta, the…

核理论 · 物理学 2024-07-19 Kie Sang Jeong , Fabrizio Murgana , Ashutosh Dash , Dirk H. Rischke

We prove local existence of solutions of a functional Renormalisation Group equation for the effective action of an interacting quantum field theory, when a suitable Local Potential Approximation is considered. To obtain this equation in a…

数学物理 · 物理学 2023-11-01 Edoardo D'Angelo , Nicola Pinamonti

We propose a method of multi-regulator functional renormalization group (MR-FRG) which is a novel formulation of functional renormalization group with multiple infrared regulators. It is applied to a two-component fermionic system with an…

量子气体 · 物理学 2017-01-03 Yuya Tanizaki , Tetsuo Hatsuda

Deriving accurate energy density functional is one of the central problems in condensed matter physics, nuclear physics, and quantum chemistry. We propose a novel method to deduce the energy density functional by combining the idea of the…

强关联电子 · 物理学 2018-03-01 Haozhao Liang , Yifei Niu , Tetsuo Hatsuda

We investigate the functional renormalization group (FRG) flow of the two-particle vertex function of a model for X-ray absorption in metals. Concerning the appearance of logarithmic divergences, the model is prototypical for an important…

强关联电子 · 物理学 2021-05-03 Jan Diekmann , Severin G. Jakobs

We study the quantum gravitational system coupled to a charged scalar, Dirac fermions, and electromagnetic fields. We use the "exact" or "functional" renormalization group equation to derive the effective action $\Gamma_0$ by integrating…

高能物理 - 理论 · 物理学 2020-10-28 Nobuyoshi Ohta , Leslaw Rachwal

We derive flow equations for cold atomic gases with one macroscopically populated energy level. The generator is chosen such that the ground state decouples from all other states in the system as the renormalization group flow progresses.…

量子气体 · 物理学 2018-01-04 A. G. Volosniev , H. -W. Hammer

We present first results on the calculation of fermionic spectral functions from analytically continued flow equations within the Functional Renormalization Group approach. Our method is based on the same analytic continuation from…

高能物理 - 唯象学 · 物理学 2018-11-14 Ralf-Arno Tripolt , Johannes Weyrich , Lorenz von Smekal , Jochen Wambach

We present a comprehensive review of the In-Medium Similarity Renormalization Group (IM-SRG), a novel ab inito method for nuclei. The IM-SRG employs a continuous unitary transformation of the many-body Hamiltonian to decouple the ground…

核理论 · 物理学 2016-03-15 H. Hergert , S. K. Bogner , T. D. Morris , A. Schwenk , K. Tsukiyama

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)…

无序系统与神经网络 · 物理学 2010-04-05 Pierre Le Doussal , Kay Joerg Wiese

We investigate the thermodynamic geometry of the quark-meson model at finite temperature, $T$, and quark number chemical potential, $\mu$. We extend previous works by the inclusion of fluctuations exploiting the functional renormalization…

高能物理 - 唯象学 · 物理学 2023-12-04 Fabrizio Murgana , Vincenzo Greco , Marco Ruggieri , Dario Zappalà

We review the functional renormalization group (RG) approach to the BCS-BEC crossover for an ultracold gas of fermionic atoms. Formulated in terms of a scale-dependent effective action, the functional RG interpolates continuously between…

量子气体 · 物理学 2010-10-15 Michael M. Scherer , Stefan Floerchinger , Holger Gies

In a recent paper, with Drago and Pinamonti we have introduced a Wetterich-type flow equation for scalar fields on Lorentzian manifolds, using the algebraic approach to perturbative QFT. The equation governs the flow of the effective…

数学物理 · 物理学 2025-02-10 Edoardo D'Angelo , Kasia Rejzner

The recently developed gauge-invariant formalism for the treatment of fluctuations in holographic renormalization group (RG) flows overcomes most of the previously encountered technical difficulties. I summarize the formalism and present…

高能物理 - 理论 · 物理学 2008-11-26 Wolfgang Mueck

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…

量子气体 · 物理学 2017-01-19 Jan Krieg , Dominik Strassel , Simon Streib , Sebastian Eggert , Peter Kopietz

We propose a version of functional renormalization-group (fRG) approach, which is, due to including Litim-type cutoff and switching off (or reducing) the magnetic field during fRG flow, capable describing singular Fermi liquid (SFL) phase,…

强关联电子 · 物理学 2016-11-29 V. S. Protsenko , A. A. Katanin

The 4PI effective action provides a a hierarchy of integral equations which have the form of Bethe-Salpeter equations. The vertex functions obtained from these equations can be used to truncate the exact renormalization group flow…

高能物理 - 理论 · 物理学 2013-12-06 M. E. Carrington

In one-dimensional quantum wires the interplay of electron correlations and impurities strongly influences the low-energy physics. The diversity of energy scales and the competition of correlations in interacting Fermi systems can be…

强关联电子 · 物理学 2024-09-02 Sabine Andergassen

We use the Matsubara functional renormalization group (FRG) to describe electronic correlations within the single impurity Anderson model. In contrast to standard FRG calculations, we account for the frequency-dependence of the two-particle…

强关联电子 · 物理学 2009-11-13 C. Karrasch , R. Hedden , R. Peters , Th. Pruschke , K. Schönhammer , V. Meden