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Using a new approximate strong-randomness renormalization group (RG), we study the many-body localized (MBL) phase and phase transition in one-dimensional quantum systems with short-range interactions and quenched disorder. Our RG is built…

Statistical Mechanics · Physics 2019-06-25 Alan Morningstar , David A. Huse

The real time evolution and relaxation of expectation values of quantum fields and of quantum states are computed as initial value problems by implementing the dynamical renormalization group (DRG).Linear response is invoked to set up the…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. Boyanovsky , H. J. de Vega

We study inflation as a "cosmic" renormalization-group flow. The flow, which encodes the dependence on the background metric, is described by a running coupling $\alpha $, which parametrizes the slow roll, a de Sitter free, analytic beta…

High Energy Physics - Theory · Physics 2021-11-02 Damiano Anselmi , Filippo Fruzza , Marco Piva

We solve the nonperturbative renormalization-group flow equations for the two-dimensional XY model at the truncation level of the (complete) second-order derivative expansion. We compute the thermodynamic properties in the high-temperature…

Statistical Mechanics · Physics 2016-07-20 Pawel Jakubczyk , Andreas Eberlein

Non-Hermiticity plays a fundamental role in open quantum systems and describes a wide variety of effects of interactions with environments, including quantum measurement. However, understanding its consequences in strongly interacting…

Quantum Physics · Physics 2026-02-10 Hiroyuki Tajima , Masaya Nakagawa , Haozhao Liang , Masahito Ueda

Renormalization group methods can be applied to the nuclear many-body problem using the approach proposed by Shankar. We start with the two-body low momentum interaction V_{low k} and use the RG flow from the particle-hole channels to…

Nuclear Theory · Physics 2008-11-26 Achim Schwenk , Bengt Friman , Gerald E. Brown

We present a nonperturbative renormalization group solution of the Gell-Mann--Levy $\sigma$-model which was originally proposed as a phenomenological description of the dynamics of nucleons and mesons. In our version of the model the…

High Energy Physics - Phenomenology · Physics 2011-07-19 A. S. Johnson , J. A. McNeil , J. R. Shepard

Spin chains with quenched disorder exhibit rich critical behavior, often captured by real-space renormalization group (RSRG) techniques. However, the physics of such systems in the presence of random measurements (i.e., non-Hermitian…

Quantum Physics · Physics 2026-05-21 Siddharth Tiwary , Joel E. Moore

We develop a renormalization group (RG) procedure that includes important system-specific features. The key ingredient is to systematize the coarse graining procedure that generates the RG flow. The coarse graining technology comes from…

Statistical Mechanics · Physics 2015-05-13 David E. Reynolds

We use the numerical renormalization group method (NRG) to investigate a single-impurity Anderson model with a coupling of the impurity to a superconducting host. Analysis of the energy flow shows, in contrast to previous belief, that NRG…

Strongly Correlated Electrons · Physics 2015-05-13 Theresa Hecht , Andreas Weichselbaum , Jan von Delft , Ralf Bulla

We investigate the phase diagram of a one-dimensional dissipative Bose-Hubbard model using the nonperturbative functional renormalization group (FRG). Each lattice site is coupled to an independent bath, generating long-range temporal…

Quantum Gases · Physics 2026-05-05 Oscar Bouverot-Dupuis , Vincent Grison , Nicolas Paris

Following an approach of Matarrese and Pietroni, we derive the functional renormalization group (RG) flow of the effective action of cosmological large-scale structures. Perturbative solutions of this RG flow equation are shown to be…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-01 Stefan Floerchinger , Mathias Garny , Nikolaos Tetradis , Urs Achim Wiedemann

We investigate hexatic membranes embedded in Euclidean D-dimensional space using a reparametrization invariant formulation combined with exact renormalization group (RG) equations. An XY-model coupled to a fluid membrane, when integrated…

Statistical Mechanics · Physics 2015-03-18 Alessandro Codello , Omar Zanusso

We develop a numerical method to compute the negativity, an entanglement measure for mixed states, between the impurity and the bath in quantum impurity systems at finite temperature. We construct a thermal density matrix by using the…

Mesoscale and Nanoscale Physics · Physics 2018-08-28 Jeongmin Shim , H. -S. Sim , Seung-Sup B. Lee

Implementing the Wilsonian renormalization group (RG) transformation in a nonperturbative way, we construct an effective holographic dual description with an emergent extradimension identified with an RG scale. Taking the large$-N$ limit,…

High Energy Physics - Theory · Physics 2023-03-09 Ki-Seok Kim , Mitsuhiro Nishida , Yoonseok Choun

We use the non-perturbative renormalization group to clarify some features of perturbation theory in thermal field theory. For the specific case of the scalar field theory with O(N) symmetry, we solve the flow equations within the local…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jean-Paul Blaizot , Andreas Ipp , Ramon Mendez-Galain , Nicolas Wschebor

We propose an exact renormalization group equation for Lattice Gauge Theories, that has no dependence on the lattice spacing. We instead relate the lattice spacing properties directly to the continuum convergence of the support of each…

High Energy Physics - Lattice · Physics 2010-01-15 P. R. Crompton

Functional renormalization group (FRG) is an exact method for taking into account the effect of quantum fluctuations in the effective action of the system. The FRG method applied to effective theories of nuclear matter yields equation of…

High Energy Physics - Phenomenology · Physics 2022-12-01 Péter Pósfay , Gergely Gábor Barnaföldi , Antal Jakovác

We report on a recently introduced Functional Renormalization Group (RG) Equation, and we apply it to quantum gravity in Lorentzian spacetimes. While the RG flow is state-dependent, it is possible to evaluate state and background…

High Energy Physics - Theory · Physics 2024-01-17 Edoardo D'Angelo

We review recent results concerning the renormalization group (RG) transformation of Dyson's hierarchical model (HM). This model can be seen as an approximation of a scalar field theory on a lattice. We introduce the HM and show that its…

High Energy Physics - Theory · Physics 2008-11-26 Y. Meurice