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The two-point function of the stress tensor operator of a quantum field in de Sitter spacetime is calculated for an arbitrary number of dimensions. We assume the field to be in the Bunch-Davies vacuum, and formulate our calculation in terms…

General Relativity and Quantum Cosmology · Physics 2010-06-15 Guillem Pérez-Nadal , Albert Roura , Enric Verdaguer

We consider free superconformal theories of n=8 scalar multiplet in d=3 and (2,0) tensor multiplet in d=6 and compute 2-point and 3-point correlators of their stress tensors. The results for the 2-point and 3-point correlators for a single…

High Energy Physics - Theory · Physics 2009-09-17 F. Bastianelli , S. Frolov , A. A. Tseytlin

We calculate the mass spectra and string tensions of SU(2), SU(3), SU(4) and SU(5) gauge theories in 2+1 dimensions. We do so by simulating the corresponding lattice theories and then extrapolating dimensionless mass ratios to the continuum…

High Energy Physics - Lattice · Physics 2009-10-31 M. Teper

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

An important part of a CFT four-point function, the stress tensor sector, comprises the exchanges of the stress tensor and its composites. The OPE coefficients of these multi-stress tensor operators and consequently, the complete stress…

High Energy Physics - Theory · Physics 2020-08-19 Robin Karlsson , Manuela Kulaxizi , Andrei Parnachev , Petar Tadić

In the context of integrated correlators in $\mathcal{N}=4$ SYM, we study the 2-point functions of local operators with a superconformal line defect. Starting from the mass-deformed $\mathcal{N}=2^*$ theory in presence of a…

High Energy Physics - Theory · Physics 2023-11-30 M. Billo' , M. Frau , F. Galvagno , A. Lerda

Correlation functions of operators with a conformal dimension of O(N^2) are not well approximated by the planar limit. The non-planar diagrams, which in the bulk spacetime correspond to string loop corrections, are enhanced by huge…

High Energy Physics - Theory · Physics 2009-09-28 Robert de Mello Koch , Tanay K. Dey , Norman Ives , Michael Stephanou

We use lattice techniques to calculate the continuum string tensions of SU(N) gauge theories in 2+1 dimensions. We attempt to control all systematic errors at a level that allows us to perform a precise test of the analytic prediction of…

High Energy Physics - Theory · Physics 2008-11-26 Barak Bringoltz , Michael Teper

We continue the study of the duality between super-correlators and scattering super-amplitudes in planar N=4 SYM. We provide a number of further examples supporting the conjectured duality relation between these two seemingly different…

High Energy Physics - Theory · Physics 2015-05-27 Burkhard Eden , Paul Heslop , Gregory P. Korchemsky , Emery Sokatchev

In the framework of the semiclassical approach, we compute the normalized structure constants in three-point correlation functions, when two of the vertex operators correspond to "heavy" string states, while the third vertex corresponds to…

High Energy Physics - Theory · Physics 2015-05-30 Plamen Bozhilov

We perform Monte Carlo calculation of correlation functions in 4d N=4 super Yang-Mills theory on R*S^3 in the planar limit. In order to circumvent the well-known problem of lattice SUSY, we adopt the idea of a novel large-N reduction, which…

High Energy Physics - Lattice · Physics 2010-11-18 Masazumi Honda , Goro Ishiki , Sang-Woo Kim , Jun Nishimura , Asato Tsuchiya

We present a construction of the integrand of the correlation function of four stress-tensor multiplets in N=4 SYM at weak coupling. It does not rely on Feynman diagrams and makes use of the recently discovered symmetry of the integrand…

High Energy Physics - Theory · Physics 2015-06-03 Burkhard Eden , Paul Heslop , Gregory P. Korchemsky , Emery Sokatchev

We show that the stress tensor of a real scalar quantum field on Reissner-Nordstr{\"o}m-de Sitter spacetime exhibits correlations over macroscopic distances near the Cauchy horizon. These diverge as the Cauchy horizon is approached and are…

General Relativity and Quantum Cosmology · Physics 2024-04-03 Christiane Klein , Jochen Zahn

Integrated correlator of four superconformal stress-tensor primaries in $SU(N)$ $\mathcal{N}=4$ super Yang-Mills (SYM) theory in the perturbative limit takes a remarkably simple form, where the $L$-loop coefficient is given by a rational…

High Energy Physics - Theory · Physics 2024-10-21 Shun-Qing Zhang

The gauge invariant two-point correlation function of the gauge field strength tensor is calculated in perturbation theory at the next-to-leading order. Besides a direct calculation in perturbative QCD we also present a derivation of the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Markus Eidemueller , Matthias Jamin

We consider the correlation functions of the tachyon vertex operator of the super Liouville theory coupled to matter fields in the super Coulomb gas formulation, on world sheets with spherical topology. After integrating over the zero mode…

High Energy Physics - Theory · Physics 2015-06-26 E. Abdalla , M. C. B. Abdalla , D. Dalmazi , K. Harada

Near lightcone correlators are dominated by operators with the lowest twist. We consider the contributions of such leading lowest twist multi-stress tensor operators to a heavy-heavy-light-light correlator in a CFT of any even…

High Energy Physics - Theory · Physics 2020-01-29 Robin Karlsson , Manuela Kulaxizi , Andrei Parnachev , Petar Tadić

Following the recent advances in the holographic calculation of n-point correlation functions with two "heavy" (with large quantum numbers) states at strong coupling, we extend these findings by computing specific four-point correlators of…

High Energy Physics - Theory · Physics 2014-04-01 D. Arnaudov , R. C. Rashkov

We consider correlation functions of two maximal giant gravitons and two light $\frac{1}{2}$-BPS operators in 4d $\mathcal{N}=4$ SYM. Viewed as two-point correlators in the presence of a zero dimensional defect, they can be completely fixed…

High Energy Physics - Theory · Physics 2025-08-12 Junding Chen , Yunfeng Jiang , Xinan Zhou

The agreement between string theory and field theory is demonstrated in the leading order by providing the first calculation of the correlator of three two-impurity BMN states with all non-zero momenta. The calculation is performed in two…

High Energy Physics - Theory · Physics 2015-06-04 Gianluca Grignani , A. V. Zayakin