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The pseudofermion functional renormalization group (pffRG) is a computational method for determining zero-temperature phase diagrams of frustrated quantum magnets. In a recent methodological advance, the commonly employed Katanin truncation…

Strongly Correlated Electrons · Physics 2022-07-04 Marc K. Ritter , Dominik Kiese , Tobias Müller , Fabian B. Kugler , Ronny Thomale , Simon Trebst , Jan von Delft

In the framework of dimensional regularization, we propose a generalization of the renormalization group equations in the case of the perturbative quantum gravity that involves renormalization of the metric and of the higher order Riemann…

High Energy Physics - Theory · Physics 2020-12-30 Sergey N. Solodukhin

The impurity Green function and dynamical susceptibilties for the two-channel Anderson impurity model are calculated. An exact expression for the self-energy of the impurity Green function is derived. The imaginary part of the self-energy…

Strongly Correlated Electrons · Physics 2007-05-23 Frithjof B. Anders

We put forward a functional renormalisation group approach for the direct computation of real time correlation functions, also applicable at finite temperature and density. We construct a general class of regulators that preserve the…

High Energy Physics - Phenomenology · Physics 2017-07-07 Jan M. Pawlowski , Nils Strodthoff

We consider procedures through which an ultraviolet cut-off regularization scheme can be modified to reproduce the same results for nonperturbative renormalized Green's functions as obtained from a dimensional regularization scheme. These…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ayse Kizilersu , Tom Sizer , Anthony G. Williams

A new approximation scheme for nonperturbative renormalisation group equations for quantum gravity is introduced. Correlation functions of arbitrarily high order can be studied by resolving the full dependence of the renormalisation group…

High Energy Physics - Theory · Physics 2018-05-16 Benjamin Knorr

We have investigated quantum phase transition employing the quantum renormalization group (QRG) method while in most previous literature barely entanglement (concurrence) has been demonstrated. However, it is now well known that…

Quantum Physics · Physics 2013-03-21 Yao Yao , Hong-Wei Li , Chun-Mei Zhang , Zhen-Qiang Yin , Guang-Can Guo , Zheng-Fu Han

We present the first calculation of fermion spectral function at finite temperature in quark-meson model in the framework of the functional renormalization group (FRG). We compare the results in two truncations, after first evolving flow…

High Energy Physics - Phenomenology · Physics 2018-12-05 Ziyue Wang , Lianyi He

The calculation of dynamic response functions is expected to be an early application benefiting from rapidly developing quantum hardware resources. The ability to calculate real-time quantities of strongly-correlated quantum systems is one…

We have devised and implemented a local ab initio Density Matrix Renormalization Group (DMRG) algorithm to describe multireference nondynamic correlations in large systems. For long molecules that are extended in one of their spatial…

Strongly Correlated Electrons · Physics 2009-11-11 Johannes Hachmann , Wim Cardoen , Garnet Kin-Lic Chan

We explore the possibilities of using the fermionic functional renormalization group to compute the phase diagram of systems with competing instabilities. In order to overcome the ubiquituous divergences encountered in RG flows, we propose…

Strongly Correlated Electrons · Physics 2009-11-30 M. Ossadnik , C. Honerkamp

We introduce the analytic superspace formalism for six-dimensional $(N,0)$ superconformal field theories. Concentrating on the $(2,0)$ theory we write down the Ward identities for correlation functions in the theory and show how to solve…

High Energy Physics - Theory · Physics 2010-02-03 P. J. Heslop

We construct a real time current-conserving functional renormalization group (RG) scheme on the Keldysh contour to study frequency-dependent transport and noise through a quantum dot in the local moment regime. We find that the current…

Mesoscale and Nanoscale Physics · Physics 2011-06-13 C. P. Moca , P. Simon , C. H. Chung , G. Zarand

We present a construction of a mean-field theory for thermodynamic and spectral properties of correlated electrons reliable in the strong-coupling limit. We introduce an effective interaction determined self-consistently from the reduced…

Strongly Correlated Electrons · Physics 2017-04-19 Václav Janiš , Vladislav Pokorný , Anna Kauch

The perturbative renormalization of the Ginzburg-Landau model is reconsidered based on the Feynman diagram technique. We derive renormalization group (RG) flow equations, exactly calculating all vertices appearing in the perturbative…

Statistical Mechanics · Physics 2011-08-29 J. Kaupuzs

The numerical renormalization group method is used to investigate zero temperature phase transitions in quantum impurity systems, in particular in the particle-hole symmetric soft-gap Anderson model. The model displays two stable phases…

Strongly Correlated Electrons · Physics 2007-05-23 Hyun-Jung Lee , Ralf Bulla , Matthias Vojta

The numerical renormalization group (NRG) is rephrased as a variational method with the cost function given by the sum of all the energies of the effective low-energy Hamiltonian. This allows to systematically improve the spectrum obtained…

Quantum Physics · Physics 2013-05-23 Iztok Pizorn , Frank Verstraete

The Density Matrix Renormalization Group (DMRG) has become a powerful numerical method that can be applied to low-dimensional strongly correlated fermionic and bosonic systems. It allows for a very precise calculation of static, dynamic and…

Strongly Correlated Electrons · Physics 2008-11-26 Karen Hallberg

The interplay between the Kondo screening of quantum impurities (by the electronic channels to which they couple) and the interimpurity RKKY interactions (mediated by the same channels) has been extensively studied. However, the effect of…

Strongly Correlated Electrons · Physics 2023-04-19 Matan Lotem , Eran Sela , Moshe Goldstein

The Similarity Renormalization Group (SRG) is investigated as a powerful yet practical method to modify nuclear potentials so as to reduce computational requirements for calculations of observables. The key feature of SRG transformations…

Nuclear Theory · Physics 2009-12-16 E. D. Jurgenson