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Using the gauge/gravity correspondence, we study the properties of 2-point correlation functions of finite-temperature strongly coupled gauge field theories, defined on a curved space of general spatial topology with a dual black hole…

High Energy Physics - Theory · Physics 2015-06-05 Igal Arav , Yaron Oz

We compute holographic one- and two-point functions of critical higher-curvature gravity in four dimensions. The two most important operators are the stress tensor and its logarithmic partner, sourced by ordinary massless and by logarithmic…

High Energy Physics - Theory · Physics 2012-09-27 Niklas Johansson , Ali Naseh , Thomas Zojer

Analytical expressions of some of the spin-spin correlation functions up to eight lattice sites for the spin-1/2 anti-ferromagnetic Heisenberg chain at zero temperature without magnetic field are obtained. The key object of our method is…

High Energy Physics - Theory · Physics 2009-11-11 Jun Sato , Masahiro Shiroishi , Minoru Takahashi

We study conformal Ward-Takahashi identities for two-point functions in $d(\geq3)$-dimensional finite-temperature conformal field theory. We first show that the conformal Ward-Takahashi identities can be translated into the intertwining…

High Energy Physics - Theory · Physics 2019-07-29 Satoshi Ohya

We study correlation functions of scalar operators on the boundary of the $AdS_3$ space deformed by moving massive particles in the context of the AdS/CFT duality. To calculate two-point correlation functions we use the geodesic…

High Energy Physics - Theory · Physics 2016-12-15 D. S. Ageev , I. Ya. Aref'eva , M. D. Tikhanovskaya

Using Wigner transforms of Green functions, we discuss non-equilibrium generalizations of spectral functions and occupation numbers. We develop methods for computing time-dependent spectral functions in conformal field theories…

High Energy Physics - Theory · Physics 2014-02-04 V. Balasubramanian , A. Bernamonti , B. Craps , V. Keränen , E. Keski-Vakkuri , B. Müller , L. Thorlacius , J. Vanhoof

We show that holographic thermal two-sided two-point correlators take the form of a product over quasi-normal modes (QNMs). Due to this fact, the two-point function admits a natural dispersive representation with a positive discontinuity at…

High Energy Physics - Theory · Physics 2023-09-18 Matthew Dodelson , Cristoforo Iossa , Robin Karlsson , Alexander Zhiboedov

We study two-point functions of single-trace half-BPS operators in the presence of a supersymmetric Wilson line in $\mathcal{N}=4$ SYM. We use inversion formula technology in order to reconstruct the CFT data starting from a single…

High Energy Physics - Theory · Physics 2022-09-30 Julien Barrat , Aleix Gimenez-Grau , Pedro Liendo

The two-point correlation function of the stress-energy tensor for the $\Phi_{1,3}$ massive deformation of the non-unitary model ${\cal M}_{3,5}$ is computed. We compare the ultraviolet CFT perturbative expansion of this correlation…

High Energy Physics - Theory · Physics 2009-10-22 G. Delfino , G. Mussardo

We compute the exact retarded Green's functions in thermal $CFT$s with chemical potential and angular momenta using holography respectively. We consider the field equations satisfied by the quasi-normal modes in both charged and rotating…

High Energy Physics - Theory · Physics 2023-02-27 Atanu Bhatta , Taniya Mandal

We revisit the calculation of spectral densities and heavy-heavy-light (HHL) operator product expansion (OPE) coefficients in three-dimensional conformal field theories using thermal one-point functions on $S^1 \times S^2$. A central…

High Energy Physics - Theory · Physics 2025-06-30 Ilija Burić , Francesco Mangialardi , Francesco Russo , Volker Schomerus , Alessandro Vichi

This note is aimed at presenting a new algebraic approach to momentum-space correlators in conformal field theory. As an illustration we present a new Lie-algebraic method to compute frequency-space two-point functions for charged scalar…

High Energy Physics - Theory · Physics 2013-12-13 Satoshi Ohya

Using $U_q[SU(2)]$ tensor calculus we compute the two-point scalar operators (TPSO), their averages on the ground-state give the two-point correlation functions. The TPSOs are identified as elements of the Temperley-Lieb algebra and a…

High Energy Physics - Theory · Physics 2009-10-22 H. Hinrichsen , P. P. Martin , V. Rittenberg , M. Scheunert

We calculate the two-point correlation function <x(t2)x(t1)> for a subdiffusive continuous time random walk in a parabolic potential, generalizing well-known results for the single-time statistics to two times. A closed analytical…

Statistical Mechanics · Physics 2009-11-13 A. Baule , R. Friedrich

In this paper we study one-dimensional conformal field theory at finite temperature dual to the two-dimensional anti-de Sitter spacetime in the Rindler coordinates. We show that conformal symmetry for thermal two-point functions manifests…

High Energy Physics - Theory · Physics 2016-11-04 Satoshi Ohya

We study the correlation functions of scalar operators in the theory defined as the holographic dual of the Schroedinger background with dynamical exponent z=2 at zero temperature and zero chemical potential. We offer a closed expression of…

High Energy Physics - Theory · Physics 2009-07-30 Carlos A. Fuertes , Sergej Moroz

Within a holographic model, we calculate the time evolution of 2-point and 1-point correlation functions (of selected operators) within a charged strongly coupled system of many particles. That system is thermalizing from an anisotropic…

High Energy Physics - Theory · Physics 2019-10-02 Casey Cartwright , Matthias Kaminski

We compute the two, three point function of the opearators in the spin zero multiplet of ${\cal N}=2$ Supersymmetric vector matter Chern-Simons theory at large $N$ and at all orders of 't Hooft coupling by solving the Schwinger-Dyson…

High Energy Physics - Theory · Physics 2020-05-01 Karthik Inbasekar , Sachin Jain , Vinay Malvimat , Abhishek Mehta , Pranjal Nayak , Tarun Sharma

Four-point correlation functions of hypermultiplet bilinear composites are analysed in N=2 superconformal field theory using the superconformal Ward identities and the analyticity properties of the composite operator superfields. It is…

High Energy Physics - Theory · Physics 2009-10-31 B. U. Eden , P. S. Howe , A. Pickering , E. Sokatchev , P. C. West

Heavy-heavy-light-light (HHLL) correlators of pairwise identical scalars in CFTs with a large central charge in any number of dimensions admit a double scaling limit where the ratio of the heavy conformal dimension to the central charge…

High Energy Physics - Theory · Physics 2021-05-26 Andrei Parnachev