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We present an explicit study of the holographic renormalization group (RG) in six dimensions using minimal gauged supergravity. By perturbing the theory with the addition of a relevant operator of dimension four one flows to a…

High Energy Physics - Theory · Physics 2014-11-18 Vanicson L. Campos , Gabriele Ferretti , Henric Larsson , Dario Martelli , Bengt E. W. Nilsson

Exact functional renormalization group (FRG) flow equations for quantum systems can be derived directly within an operator formalism without using functional integrals. This simple insight opens new possibilities for applying FRG methods to…

Strongly Correlated Electrons · Physics 2023-09-20 Andreas Rückriegel , Jonas Arnold , Rüdiger Krämer , Peter Kopietz

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…

High Energy Physics - Theory · Physics 2021-12-30 Ahmad Ghodsi , Malihe Siahvoshan

We consider near-critical two-dimensional statistical systems with boundary conditions inducing phase separation on the strip. By exploiting low-energy properties of two-dimensional field theories, we compute arbitrary $n$-point correlation…

High Energy Physics - Theory · Physics 2021-12-01 Alessio Squarcini

We consider the analytic calculation of a two-loop non-planar three-point function which contributes to the two-loop amplitudes for $t \bar{t}$ production and $\gamma \gamma$ production in gluon fusion through a massive top-quark loop. All…

High Energy Physics - Phenomenology · Physics 2017-08-02 Andreas von Manteuffel , Lorenzo Tancredi

The functional renormalisation group (fRG) has evolved into a versatile tool in condensed matter theory for studying important aspects of correlated electron systems. Practical applications of the method often involve a high numerical…

Computational Physics · Physics 2016-09-21 Daniel Rohe

Using holographic entanglement entropy for strip geometry, we construct a candidate for a c-function in arbitrary dimensions. For holographic theories dual to Einstein gravity, this c-function is shown to decrease monotonically along RG…

High Energy Physics - Theory · Physics 2015-06-04 Robert C. Myers , Ajay Singh

Local three- and four-point correlators yield important insight into strongly correlated systems and have many applications. However, the nonperturbative, accurate computation of multipoint correlators is challenging, particularly in the…

Strongly Correlated Electrons · Physics 2021-10-15 Seung-Sup B. Lee , Fabian B. Kugler , Jan von Delft

We construct generating functions of five- and six-point correlators up to two loops at weak 't Hooft coupling in planar N=4 SYM. These generating functions unify the correlators of the lightest scalar operator in the stress-tensor…

High Energy Physics - Theory · Physics 2026-04-01 Till Bargheer , Albert Bekov , Carlos Bercini , Frank Coronado

We work out the holographic dictionary for the three-dimensional Schr\"odinger spacetimes. The first step in our analysis involves the correct identification of the dual sources from the radial expansion of the bulk fields, which turns out…

High Energy Physics - Theory · Physics 2012-06-29 Balt C. van Rees

We describe a new approach to computing the chiral part of correlation functions of stress-tensor supermultiplets in N=4 SYM that relies on symmetries, analytic properties and the structure of the OPE only. We demonstrate that the…

High Energy Physics - Theory · Physics 2016-03-23 Dmitry Chicherin , Reza Doobary , Burkhard Eden , Paul Heslop , Gregory P. Korchemsky , Emery Sokatchev

We compute thermal holographic correlators by combining their analytic structure with the Kubo-Martin-Schwinger (KMS) condition and multi-stress tensor OPE coefficients determined from the dual AdS description. We focus on two-point…

High Energy Physics - Theory · Physics 2025-11-14 Julien Barrat , Deniz N. Bozkurt , Enrico Marchetto , Alessio Miscioscia , Elli Pomoni

We compute non-perturbative spectral functions in a scalar $\phi^4$-theory in three spacetime dimensions via the spectral functional renormalisation group. This approach allows for the direct, manifestly Lorentz covariant computation of…

High Energy Physics - Theory · Physics 2023-03-30 Jan Horak , Friederike Ihssen , Jan M. Pawlowski , Jonas Wessely , Nicolas Wink

In the framework of the functional renormalization group (FRG) we present a simple truncation scheme for the computation of real-time mesonic n-point functions, consistent with the derivative expansion of the effective action. Via analytic…

High Energy Physics - Phenomenology · Physics 2014-03-19 Kazuhiko Kamikado , Nils Strodthoff , Lorenz von Smekal , Jochen Wambach

We present an exact formula for the thermal scalar two-point function in four-dimensional holographic conformal field theories. The problem of finding it reduces to the analysis of the wave equation on the AdS-Schwarzschild background. The…

High Energy Physics - Theory · Physics 2023-05-17 Matthew Dodelson , Alba Grassi , Cristoforo Iossa , Daniel Panea Lichtig , Alexander Zhiboedov

Motivated by the Son-Yamamoto (SY) relation which connects the three point and two-point correlators we consider the holographic RG flows in the bottom-up approach to holographic QCD via the Hamilton-Jacobi (HJ) equation with respect to the…

High Energy Physics - Theory · Physics 2015-04-01 O. Dubinkin , A. Gorsky , A. Milekhin

We develop a general framework for computing the holographic 2-point functions and the corresponding conductivities in asymptotically locally AdS backgrounds with an electric charge density, a constant magentic field, and possibly…

High Energy Physics - Theory · Physics 2015-05-26 E. J. Lindgren , Ioannis Papadimitriou , Anastasios Taliotis , Joris Vanhoof

We study 2-point and 3-point functions in CFT at finite temperature for large dimension operators using holography. The 2-point function leads to a universal formula for the holographic free energy in $d$ dimensions in terms of the…

High Energy Physics - Theory · Physics 2021-11-24 D. Rodriguez-Gomez , J. G. Russo

We compute the 3-point function of the stress-energy tensor in the d-dimensional CFT from the AdS_{d+1} gravity. For d=4 the coefficients of the three linearly independent conformally covariant forms entering the 3-point function are…

High Energy Physics - Theory · Physics 2016-08-25 G. Arutyunov , S. Frolov

An attempt is made to make precise the connection between Wilson's RG and "Holographic RG" by writing Wilson's RG in a holographic form. A functional formulation is given for the exact RG evolution of a scalar field in $d$ (flat)…

High Energy Physics - Theory · Physics 2018-03-14 B. Sathiapalan , Hidenori Sonoda
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