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In this article we wish to present a new method to obtain spectral functions at finite temperature and density from the Functional Renormalization Group (FRG). The FRG offers a powerful non-perturbative tool to deal with phase transitions…

High Energy Physics - Phenomenology · Physics 2014-09-17 Jochen Wambach , Ralf-Arno Tripolt , Nils Strodthoff , Lorenz von Smekal

We report a spin-free formulation of the multireference (MR) driven similarity renormalization group (DSRG) by employing the ensemble normal ordering of Mukherjee and Kutzelnigg [W. Kutzelnigg and D. Mukherjee, J. Chem. Phys. 107, 432…

Chemical Physics · Physics 2021-10-04 Chenyang Li , Francesco A. Evangelista

The functional renormalization group (FRG) approach for spin models relying on a pseudo-fermionic description has proven to be a powerful technique in simulating ground state properties of strongly frustrated magnetic lattices. A drawback…

Strongly Correlated Electrons · Physics 2025-12-17 Janik Potten , Yasir Iqbal , Ronny Thomale , Tobias Müller

The functional renormalization group (RG) in combination with Fermi surface patching is a well-established method for studying Fermi liquid instabilities of correlated electron systems. In this article, we further develop this method and…

Strongly Correlated Electrons · Physics 2016-03-15 G. A. H. Schober , K. -U. Giering , M. M. Scherer , C. Honerkamp , M. Salmhofer

We propose a second renormalization group method to handle the tensor-network states or models. This method reduces dramatically the truncation error of the tensor renormalization group. It allows physical quantities of classical…

Strongly Correlated Electrons · Physics 2024-06-26 Z. Y. Xie , H. C. Jiang , Q. N. Chen , Z. Y. Weng , T. Xiang

A highly anticipated use of quantum computers is the simulation of complex quantum systems including molecules and other many-body systems. One promising method involves directly applying a linear combination of unitaries (LCU) to…

Quantum Physics · Physics 2022-02-02 Richard Meister , Simon C. Benjamin , Earl T. Campbell

The functional renormalization group (fRG) approach has the property that, in general, the flow equation for the two-particle vertex generates $\mathcal{O}(N^4)$ independent variables, where $N$ is the number of interacting states (e.g.…

Strongly Correlated Electrons · Physics 2014-01-24 Florian Bauer , Jan Heyder , Jan von Delft

We present a general frame to extend functional renormalization group (fRG) based computational schemes by using an exactly solvable interacting reference problem as starting point for the RG flow. The systematic expansion around this…

Strongly Correlated Electrons · Physics 2015-02-11 Nils Wentzell , Ciro Taranto , Andrey A. Katanin , Alessandro Toschi , Sabine Andergassen

The exact renormalization group (ERG) for $O(N)$ vector models (at large $N$) on flat Euclidean space can be interpreted as the bulk dynamics corresponding to a holographically dual higher spin gauge theory on $AdS_{d+1}$. This was…

High Energy Physics - Theory · Physics 2017-06-14 Jackson R. Fliss , Robert G. Leigh , Onkar Parrikar

The renormalization group (RG) corrected gravitational action in Einstein-Hilbert and other truncations is considered. The running scale of the renormalization group is treated as a scalar field at the level of the action and determined in…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Silvije Domazet , Hrvoje Stefancic

In the paper [Angelini M C, Parisi G, and Ricci-Tersenghi F, Ensemble renormalization group for disordered systems, Phys. Rev. B 87 134201 (2013)] we introduced a real-space renormalization group called Ensemble Renormalization Group (ERG)…

Disordered Systems and Neural Networks · Physics 2020-09-04 Maria Chiara Angelini , Giorgio Parisi , Federico Ricci-Tersenghi

We propose a new implementation of real-space renormalization group (RG) transformations for quantum states on a lattice. Key to this approach is the removal of short-ranged entanglement, similar to Vidal's entanglement renormalization…

Quantum Physics · Physics 2017-07-19 Glen Evenbly

We develop a renormalization group formalism for the compactified Randall-Sundrum scenario wherein the extra-dimensional radius serves as the scaling parameter. Couplings on the hidden brane scale as we move within local effective field…

High Energy Physics - Theory · Physics 2009-11-10 Adam Lewandowski , Michele Redi

The renormalization group (RG) is a powerful theoretical framework developed to consistently transform the description of configurations of systems with many degrees of freedom, along with the associated model parameters and coupling…

Statistical Mechanics · Physics 2026-04-20 Andrea Gabrielli , Diego Garlaschelli , Subodh P. Patil , M. Ángeles Serrano

We improve the recently developed functional renormalization group (fRG) for impurities and boundaries in Luttinger liquids by including renormalization of the two-particle interaction, in addition to renormalization of the impurity…

Strongly Correlated Electrons · Physics 2007-05-23 S. Andergassen , T. Enss , V. Meden , W. Metzner , U. Schollwoeck , K. Schoenhammer

The first nonperturbative version of the multireference driven similarity renormalization group (MR-DSRG) theory [C. Li and F. A. Evangelista, J. Chem. Theory Comput. $\mathbf{11}$, 2097 (2015)] is introduced. The renormalization group…

Chemical Physics · Physics 2016-05-25 Chenyang Li , Francesco A. Evangelista

In the derivation of low-energy effective models for solids targeting the bands near the Fermi level, the constrained random phase approximation (cRPA) has become an appreciated tool to compute the effective interactions. The Wick-ordered…

Strongly Correlated Electrons · Physics 2015-07-15 Michael Kinza , Carsten Honerkamp

Functional Renormalization Group Equations constitute a powerful tool to encode the perturbative and non-perturbative properties of a physical system. We present an algorithm to systematically compute the expansion of such flow equations in…

High Energy Physics - Theory · Physics 2011-06-23 Dario Benedetti , Kai Groh , Pedro F. Machado , Frank Saueressig

Tensor renormalization group (TRG) constitutes an important methodology for accurate simulations of strongly correlated lattice models. Facilitated by the automatic differentiation technique widely used in deep learning, we propose a…

Strongly Correlated Electrons · Physics 2020-07-07 Bin-Bin Chen , Yuan Gao , Yi-Bin Guo , Yuzhi Liu , Hui-Hai Zhao , Hai-Jun Liao , Lei Wang , Tao Xiang , Wei Li , Z. Y. Xie

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