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Superconformal transformations are derived for the $\N=2,4 supermultiplets corresponding to the simplest chiral primary operators. These are applied to two, three and four point correlation functions. When $\N=4$, results are obtained for…

High Energy Physics - Theory · Physics 2009-11-07 F. A. Dolan , H. Osborn

We discuss and compare the efficiency of various methods, combinations of point-to-all propagators, stochastic timeslice-to-all propagators, the one-end trick and sequential propagators, to compute two-point correlation functions of…

High Energy Physics - Lattice · Physics 2017-10-11 Abdou Abdel-Rehim , Constantia Alexandrou , Joshua Berlin , Mattia Dalla Brida , Jacob Finkenrath , Marc Wagner

Fixed points of scalar field theories with quartic interactions in $d=4-\varepsilon$ dimensions are considered in full generality. For such theories it is known that there exists a scalar function $A$ of the couplings through which the…

High Energy Physics - Theory · Physics 2019-01-23 Slava Rychkov , Andreas Stergiou

We study the exchange diagrams in the computation of four-point functions of all chiral primary operators in D=4, $\mathcal{N}=4$ Super-Yang-Mills using AdS/CFT correspondence. We identify all supergravity fields that can be exchanged and…

High Energy Physics - Theory · Physics 2017-09-07 Sangmin Lee

The inclusive gluon jet function is evaluated at two-loop accuracy. This function is relevant for resummations of large perturbative logarithms in collider processes involving low-mass gluon jets. The jet function corresponds to the…

High Energy Physics - Phenomenology · Physics 2011-06-27 Thomas Becher , Guido Bell

Derivatives and integration operators are well-studied examples of linear operators that commute with scaling up to a fixed multiplicative factor; i.e., they are scale-invariant. Fractional order derivatives (integration operators) also…

Functional Analysis · Mathematics 2022-06-23 Arash Amini , Julien Fageot , Michael Unser

The flavour and glue structure of the light scalar mesons in QCD are probed by studying the couplings of the $\sigma(600)$ and $f_0(980)$ to the operators $\bar{q}q$, $\theta_\mu^\mu$ and to two photons.

High Energy Physics - Phenomenology · Physics 2011-08-24 B. Moussallam

We discuss the properties of four-point functions in the context of the correspondence between a classical supergravity theory in the bulk of the Anti de Sitter space and quantum conformal field theory at the boundary. The contribution to a…

High Energy Physics - Theory · Physics 2009-09-17 Hong Liu , A. A. Tseytlin

We initiate the study of holographic correlators for operators whose dimension scales with the central charge of the CFT. Differently from light correlators or probes, the insertion of any such maximally heavy operator changes the AdS…

High Energy Physics - Theory · Physics 2023-06-28 Jacob Abajian , Francesco Aprile , Robert C. Myers , Pedro Vieira

We have computed in [arXiv:1107.4320 (hep-th)] the glueballs spectrum in a certain sector of the large-N YM theory by solving by a change of variables the holomorphic loop equation for cusped twistor Wilson loops supported on certain…

High Energy Physics - Theory · Physics 2012-02-21 Marco Bochicchio

We calculate the one loop amplitudes for the two gluon scattering process in light cone gauge with fermions and scalars circulating in the loop. This extends the earlier works, in which only the gluon circulates the loop. By putting all…

High Energy Physics - Theory · Physics 2008-11-26 J. Qiu

We present a systematic comparison of some usual estimators of the 2--point correlation function, some of them currently used in Cosmology, others extensively employed in the field of the statistical analysis of point processes. At small…

We compute a set of correlation functions of operator insertions on the 1/8 BPS Wilson loop in $\mathcal{N}=4$ SYM by employing supersymmetric localization, OPE and the Gram-Schmidt orthogonalization. These correlators exhibit a simple…

High Energy Physics - Theory · Physics 2018-11-09 Simone Giombi , Shota Komatsu

Zero modes of modular Hamiltonian of one interval are found in momentum space for two dimensional massless free scalar theory. Finite correlators are extracted from separate region connected correlation functions with the insertion of zero…

High Energy Physics - Theory · Physics 2020-02-19 Jiang Long

We consider the complex scalar field coupled to background NC U(1) YM and calculate the correlator of two gauge invariant composite operators. We show how the noncommutative gauge invariance is restored for higher correlators (though the…

High Energy Physics - Theory · Physics 2007-05-23 A. Solovyov

We explicitly compute the complete three-loop (O(g^4)) contribution to the four-point function of chiral primary current-like operators <(q)^2 q^2 (q)^2 q^2> in any finite N=2 SYM theory. The computation uses N=2 harmonic supergraphs in…

High Energy Physics - Theory · Physics 2009-10-31 B. Eden , C. Schubert , E. Sokatchev

We systematically study correlators of a generic conformal field theory with a global O(2) symmetry in a sector of large global charge. We focus in particular on three- and four-point correlators with conserved current insertions sandwiched…

High Energy Physics - Theory · Physics 2022-09-07 Nicola Dondi , Ioannis Kalogerakis , Rafael Moser , Domenico Orlando , Susanne Reffert

We present a calculation of three point functions for a class of chiral operators, including the primary ones, in d = 3, N = 8; d = 6, N = (2,0) and d = 4, N = 4 superconformal field theories at large N. These theories are related to the…

High Energy Physics - Theory · Physics 2009-10-31 Fiorenzo Bastianelli , Roberto Zucchini

The four-point correlation function of two 1/2 BPS primaries of conformal weight $\Delta=2$ and two 1/2-BPS primaries of conformal weight $\Delta=n$ is calculated in the large 't Hooft, large $N$ limit. These operators are dual to…

High Energy Physics - Theory · Physics 2009-04-02 Linda I. Uruchurtu

Recently constructed gravity solutions with Schrodinger symmetry provide a new example of AdS/CFT-type dualities for the type of non-relativistic field theories relevant to certain cold atom systems. In this paper we use the gravity side to…

High Energy Physics - Theory · Physics 2009-05-29 Anastasia Volovich , Congkao Wen
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