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The holographic duality conjectures a relation between strongly coupled quantum systems and quantum gravity in higher-dimensional spacetimes. Gravitational theories in two and three dimensions are meaningful examples for classical and…

High Energy Physics - Theory · Physics 2024-04-17 Stephen Ebert

General relativity (GR) extensions based on renormalization group (RG) flows may lead to scale-dependent couplings with nontrivial effects at large distance scales. Here we develop further the approach in which RG effects at large distance…

General Relativity and Quantum Cosmology · Physics 2020-06-01 Nicolas R. Bertini , Wiliam S. Hipolito-Ricaldi , Felipe de Melo-Santos , Davi C. Rodrigues

We review the implications of the scaling data for the emergent symmetry of the quantum Hall system. The location of the fixed points in the conductivity plane is consistent with the global, non-Abelian discrete symmetry $\Gamma _{0}(2)$,…

Other Condensed Matter · Physics 2009-07-01 C. A. Lutken , G. G. Ross

Similarity Renormalization Group (SRG) flow equations can be used to unitarily soften nuclear Hamiltonians by decoupling high-energy intermediate state contributions to low-energy observables while maintaining the natural hierarchy of…

Nuclear Theory · Physics 2011-04-06 E. R. Anderson , S. K. Bogner , R. J. Furnstahl , R. J. Perry

In this paper we continue the study of renormalized entanglement entropy introduced in [1]. In particular, we investigate its behavior near an IR fixed point using holographic duality. We develop techniques which, for any static holographic…

High Energy Physics - Theory · Physics 2015-06-17 Hong Liu , Márk Mezei

The Wilsonian renormalization group (RG) requires Euclidean signature. The conformal factor of the metric then has a wrong-sign kinetic term, which has a profound effect on its RG properties. Generically for the conformal sector, complete…

High Energy Physics - Theory · Physics 2018-08-10 Tim R. Morris

The holographic renormalization group (RG) flows in certain self-dual two dimensional QFT's models are studied. They are constructed as holographic duals to specific New Massive 3d Gravity (NMG) models coupled to scalar matter with…

High Energy Physics - Theory · Physics 2013-02-26 U. Camara dS , C. P. Constantinidis , A. L. Alves Lima , G. M. Sotkov

The renormalisation group (RG) flow on the space of couplings of a simple model with two couplings is examined. The model considered is that of a single component scalar field with $\phi^4$ self interaction coupled, via Yukawa coupling, to…

High Energy Physics - Theory · Physics 2015-06-26 Brian P. Dolan

The Schwarzschild singularity is known to be classically unstable. We demonstrate a simple holographic consequence of this fact, focusing on a perturbation that is uniform in boundary space and time. Deformation of the thermal state of the…

High Energy Physics - Theory · Physics 2020-08-26 Alexander Frenkel , Sean A. Hartnoll , Jorrit Kruthoff , Zhengyan D. Shi

The Renormalisation Group (RG) is a systematic procedure used to regularise divergences appearing as artefacts when constructing solutions to a large class of differential problems, whether perturbatively or not. This paper is devoted to…

Mathematical Physics · Physics 2024-02-22 Raphaël Belliard

We investigate the monotonicity of the renormalization group (RG) flow from the perspectives of nonequilibrium thermodynamics. Applying the Martin-Siggia-Rose formalism to the Wilsonian RG transformation, we incorporate the RG flow…

High Energy Physics - Theory · Physics 2023-12-29 Ki-Seok Kim , Shinsei Ryu

We show that renormalization group(RG) flow can be viewed as a gradual wave function collapse, where a quantum state associated with the action of field theory evolves toward a final state that describes an IR fixed point. The process of…

High Energy Physics - Theory · Physics 2016-09-16 Sung-Sik Lee

We construct zero-temperature geometries that interpolate between a Lifshitz fixed point in the UV and an IR phase that breaks spatial rotations but preserves translations. We work with a simple holographic model describing two massive…

High Energy Physics - Theory · Physics 2015-10-07 Sera Cremonini , Xi Dong , Junchen Rong , Kai Sun

In AdS/CFT, observables on the boundary are invariant under renormalization group (RG) flow in the bulk. In this paper, we study holographic entanglement entropy under bulk RG flow and find that it is indeed invariant. We focus on…

High Energy Physics - Theory · Physics 2023-12-04 Xi Dong , Grant N. Remmen , Diandian Wang , Wayne W. Weng , Chih-Hung Wu

After a brief review of the definition and properties of the quantum effective Hamiltonian action we describe its renormalization flow by a functional RG equation. This equation can be used for a non-perturbative quantization and study also…

High Energy Physics - Theory · Physics 2013-05-30 G. P. Vacca , L. Zambelli

The gradient flow bears a close resemblance to the coarse graining, the guiding principle of the renormalization group (RG). In the case of scalar field theory, a precise connection has been made between the gradient flow and the RG flow of…

High Energy Physics - Theory · Physics 2021-03-10 Hidenori Sonoda , Hiroshi Suzuki

We study a class of renormalization group flows on line defects that can be described by a generalized free field with ordered planar contractions on the line. They are realized, for example, in large $N$ gauge theories with matter in the…

High Energy Physics - Theory · Physics 2024-06-18 Ivri Nagar , Amit Sever , De-liang Zhong

We consider the holographic duality for a generic bulk theory of scalars coupled to gravity. By studying the fluctuations around Poincare invariant backgrounds with non-vanishing scalars, with the scalar and metric boundary conditions…

High Energy Physics - Theory · Physics 2008-11-26 Wolfgang Mueck

In this article, we consider a Renormalization Group flow of the Thermofield-Double state in a UV-complete description of Holography, by introducing a relevant deformation to the ${\cal N}=4$ super Yang-Mills theory at strong coupling. This…

High Energy Physics - Theory · Physics 2022-06-07 Suman Das , Arnab Kundu

In this paper we analyze the renormalization group (RG) flow of field theories with quenched disorder, in which the couplings vary randomly in space. We analyze both classical (Euclidean) disorder and quantum disorder, emphasizing general…

High Energy Physics - Theory · Physics 2018-08-22 Ofer Aharony , Vladimir Narovlansky
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