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Starting from an ultraviolet fixed point, we study the infrared behavior of quantum Weyl gravity in terms of a functional renormalization group (RG) flow equation. To do so, we employ two classes of Bach-flat backgrounds, namely maximally…

高能物理 - 理论 · 物理学 2020-05-19 Petr Jizba , Leslaw Rachwal , Jaroslav Knap

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…

高能物理 - 理论 · 物理学 2014-03-25 Saburo Higuchi , Chigak Itoi , Shinsuke Nishigaki , Norisuke Sakai

We study the renormalization group (RG) equations of a pair of spin-boson systems coupled in the z-direction with each other. Each spin is coupled to a different bath of harmonic oscillators. We introduce a systematic adiabatic RG, which…

统计力学 · 物理学 2015-06-16 Julius Bonart

We investigate the emergence of locality in infrared (IR) physics, which indicates an asymmetric renormalization group (RG) flow from a $d$-dimensional ultraviolet (UV) conformal field theory (CFT) to a lower-dimensional IR effective…

高能物理 - 理论 · 物理学 2026-03-09 Chanyong Park

By considering the renormalization group flow between $N$ coupled Ising models in the UV and the cubic fixed point in the IR, we study the large $N$ behavior of the cubic fixed points in three dimensions. We derive a diagrammatic expansion…

高能物理 - 理论 · 物理学 2021-09-29 Damon J. Binder

We explore the notion of $c$-functions in renormalization group flows between theories in different spacetime dimensions. We discuss functions connecting central charges of the UV and IR fixed point theories on the one hand, and functions…

We study flow of renormalization group (RG) transformations for the massless Gross-Neveu model in a non-perturbative formulation. The model is defined on a d=2 dimensional Euclidean space with a finite volume. The quadratic approximation to…

数学物理 · 物理学 2024-03-15 J. Dimock , Cheng Yuan

A metric is introduced on the space of parameters (couplings) describing the large N limit of the O(N) model in Euclidean space. The geometry associated with this metric is analysed in the particular case of the infinite volume limit in 3…

高能物理 - 理论 · 物理学 2009-10-30 Brian P. Dolan

We study the holographic renormalization group (RG) flow in the presence of higher-order curvature corrections to the $(d+1)$-dimensional Einstein-Hilbert (EH) action for an arbitrary interacting scalar matter field by using the…

高能物理 - 理论 · 物理学 2021-12-30 Ahmad Ghodsi , Malihe Siahvoshan

A generic massive Thirring Model in three space-time dimensions exhibits a correspondence with a topologically massive bosonized gauge action associated to a self-duality constraint, and we write down a general expression for this…

高能物理 - 理论 · 物理学 2009-11-07 M. Botta Cantcheff , J. A. Helayël-Neto

When conformal field theories (CFTs) are perturbed by marginally relevant deformations, renormalization group (RG) flows ensue that can be studied with perturbative methods, at least as long as they remain close to the original CFT. In this…

高能物理 - 理论 · 物理学 2016-08-16 Andreas Stergiou , David Stone , Lorenzo G. Vitale

In this paper we review aspects of anti de Sitter/conformal field theory (AdS/CFT) duality and the notion of holographic renormalization group (RG) flow. We start by discussing supersymmetry and construct the N = 4 super Yang-Mills theory…

高能物理 - 理论 · 物理学 2024-12-10 Han Huang

We revisit Starobinsky inflation in a quantum gravitational context, by means of the exact Renormalisation Group (RG). We calculate the non-perturbative beta functions for Newton's `constant' G and the dimensionless R^2 coupling, and show…

广义相对论与量子宇宙学 · 物理学 2017-03-15 Edmund J. Copeland , Christoph Rahmede , Ippocratis D. Saltas

A study of the renormalization group flow in the three-dimensional nonlinear O(N) sigma model using Monte Carlo Renormalization Group (MCRG) techniques is presented. To achieve this, we combine an improved blockspin transformation with the…

高能物理 - 格点 · 物理学 2013-10-31 Daniel Koerner , Bjoern H. Wellegehausen , Andreas Wipf

We present real--space renormalization group (RG) calculations of the critical properties of the random--field Ising model on a cubic lattice in three dimensions. We calculate the RG flows in a two--parameter truncation of the Hamiltonian…

凝聚态物理 · 物理学 2009-10-22 M. E. J. Newman , B. W. Roberts , G. T. Barkema , J. P. Sethna

This paper focuses on extending our previous discussion of an Abelian U(1) gauge theory involving infinite derivatives to a non-Abelian SU(N) case. The renormalization group equation (RGEs) of the SU(N) gauge coupling is calculated and…

高能物理 - 唯象学 · 物理学 2021-07-07 Anish Ghoshal , Anupam Mazumdar , Nobuchika Okada , Desmond Villalba

Non-chiral bosonization technique adapted to study chiral quantum wires with non-interacting fermions coupled through a point-contact with a constant bias between the wires is introduced and is shown to reproduce the exact Green functions…

强关联电子 · 物理学 2023-01-04 Nikhil Danny Babu , Girish S. Setlur

We study holographic RG flows of N=2 matter couple AdS_3 supergravities which admit both compact and non-compact sigma manifolds. For the compact case the supersymmetric domain wall solution interpolates between a conformal IR region and…

高能物理 - 理论 · 物理学 2009-11-07 Nihat Sadik Deger

We present the results of probing the ten dimensional type IIB supergravity solution corresponding to a renormalisation group flow of supersymmetric SU(n) Yang-Mills theory from pure gauge N=4 to N=1 with two massless adjoint flavours. The…

高能物理 - 理论 · 物理学 2010-02-03 Clifford V. Johnson , Kenneth J. Lovis , David C. Page

If there is a dS/CFT correspondence, time evolution in the bulk should translate to RG flows in the dual euclidean field theory. Consequently, although the dual field is expected to be non-unitary, its RG flows will carry an imprint of the…

高能物理 - 理论 · 物理学 2015-06-16 Diptarka Das , Sumit R. Das , Gautam Mandal