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Theoretically challenging, the understanding of the dynamical response in quantum antiferromagnets is of great interest, in particular for both inelastic neutron scattering (INS) and nuclear magnetic resonance (NMR) experiments. In such a…

Strongly Correlated Electrons · Physics 2018-09-07 Maxime Dupont , Sylvain Capponi , Nicolas Laflorencie , Edmond Orignac

For a number of quantum critical points in one dimension quantum field theory has provided exact results for the scaling of spatial and temporal correlation functions. Experimental realizations of these models can be found in certain quasi…

Strongly Correlated Electrons · Physics 2020-09-11 Andrey Zheludev

We study the renormalization group flow in general quantum field theories with quenched disorder, focusing on random quantum critical points. We show that in disorder-averaged correlation functions the flow mixes local and non-local…

Strongly Correlated Electrons · Physics 2018-08-22 Vladimir Narovlansky , Ofer Aharony

We establish the functional Renormalization Group as an exploratory tool to investigate a possible phase transition between a pre-geometric discrete phase and a geometric continuum phase in quantum gravity. In this paper, based on the…

General Relativity and Quantum Cosmology · Physics 2014-12-03 Astrid Eichhorn , Tim Koslowski

We find a new solution of the renormalization group for the Potts model with ferromagnetic random valued coupling constants. The solution exhibits universality and broken replica symmetry. It is argued that the model reaches this…

High Energy Physics - Theory · Physics 2016-09-06 Viktor Dotsenko , Vladimir Dotsenko , Marco Picco , Pierre Pujol

Path integral techniques for the density matrix of a one-dimensional statistical system near a boundary previously employed in black-hole physics are applied to providing a new interpretation of the density matrix renormalization group: its…

Statistical Mechanics · Physics 2008-11-26 Jose Gaite

The quantum renormalization group method is applied to study the quantum criticality and entanglement entropy of the ground state of the Ising chain in the presence of antisymmetric anisotropic couplings and alternating exchange…

Strongly Correlated Electrons · Physics 2012-08-09 Xiang Hao

We consider the double-scaling limit in matrix models for two-dimensional quantum gravity, and establish the nonperturbative functional Renormalization Group as a novel technique to compute the corresponding interacting fixed point of the…

General Relativity and Quantum Cosmology · Physics 2013-10-30 Astrid Eichhorn , Tim Koslowski

The QED renormalization is restudied by using a mass-dependent subtraction which is performed at a time-like renormalization point. The subtraction exactly respects necessary physical and mathematical requirements such as the gauge…

High Energy Physics - Theory · Physics 2008-11-26 Jun-Chen Su , Xue-Xi Yi , Ying-Hui Cao

We develop a renormalization group for weak Harris-marginal disorder in otherwise strongly interacting quantum critical theories, focusing on systems which have emergent conformal invariance. Using conformal perturbation theory, we argue…

High Energy Physics - Theory · Physics 2022-03-30 Koushik Ganesan , Andrew Lucas , Leo Radzihovsky

We summarize our renormalization group approach for the vector model as well as the matrix model which are the discretized quantum gravity in one- and two-dimensional spacetime. A difference equation is obtained which relates free energies…

High Energy Physics - Theory · Physics 2007-05-23 S. Higuchi , C. Itoi , S. Nishigaki , N. Sakai

An approach to the Holographic Renormalization Group in the context of Rehren duality - a structural form of the AdS-CFT correspondence, in the context of Local Quantum Physics (Algebraic QFT) - is proposed. Special attention to the issue…

High Energy Physics - Theory · Physics 2007-12-05 Pedro Lauridsen Ribeiro

We discuss motivation and goals of renormalization analyses of group field theory models of simplicial 4d quantum gravity, and review briefly the status of this research area. We present some new computations of perturbative GFT (spin foam)…

High Energy Physics - Theory · Physics 2021-05-07 Marco Finocchiaro , Daniele Oriti

Large-$N$ renormalization group equations for one- and two-matrix models are derived. The exact renormalization group equation involving infinitely many induced interactions can be rewritten in a form that has a finite number of coupling…

High Energy Physics - Theory · Physics 2014-03-25 Saburo Higuchi , Chigak Itoi , Shinsuke Nishigaki , Norisuke Sakai

In this paper we describe how the density matrix renormalization group (DMRG) can be used for quantum chemical calculations for molecules, as an alternative to traditional methods, such as configuration interaction or coupled cluster…

Condensed Matter · Physics 2009-10-31 Steven R. White , Richard L. Martin

We describe how density-matrix renormalization group (DMRG) can be used to solve the full-CI problem in quantum chemistry. As an illustration of the potential of this method, we apply it to a paramagnetic molecule. In particular, we show…

Strongly Correlated Electrons · Physics 2007-05-23 S. Daul , I. Ciofini , C. Daul , Steven R. White

Some renormalization group approaches have been proposed during the last few years which are close in spirit to the Nightingale phenomenological procedure. In essence, by exploiting the finite size scaling hypothesis, the approximate…

Statistical Mechanics · Physics 2015-06-25 J. A. Plascak , W. Figueiredo , B. C. S. Grandi

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

I review the progress made in recent years with functional methods in our understanding of the QCD phase diagram. In particular I discuss a renormalisation group approach to QCD at finite temperature and chemical potential. Results include…

High Energy Physics - Phenomenology · Physics 2011-06-15 Jan M. Pawlowski

We give a holographic explanation how the renormalization group approach to singular perturbations in non-linear differential equations proposed by Chen, Goldenfeld and Oono is indeed equivalent to a renormalization group method in quantum…

High Energy Physics - Theory · Physics 2013-11-13 Yu Nakayama
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