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We numerically calculate the spatial correlators of the scalar and pseudoscalar operators $F^2$ and $F\tilde F$, in SU(3) Yang-Mills theory at zero and finite-temperature on the lattice. We compare the results over the distances…

High Energy Physics - Lattice · Physics 2009-11-18 Nabil Iqbal , Harvey B. Meyer

Correlation functions of the FF and F\tilde{F} operators in hot SU(3) Yang-Mills theory have recently been studied both on the lattice and in perturbation theory, and the results subsequently compared to the strong coupling limit of…

High Energy Physics - Phenomenology · Physics 2011-06-15 Aleksi Vuorinen

We use AdS/QCD duality to compute the finite temperature Green's function G(omega,k;T) of the shear operator T_12 for all omega,k in hot Yang-Mills theory. The goal is to assess how the existence of scales like the transition temperature…

High Energy Physics - Phenomenology · Physics 2013-05-29 K. Kajantie , Martin Krssak , M. Vepsalainen , Aleksi Vuorinen

We compute the imaginary part of scalar four-point functions in the AdS/CFT correspondence relevant to N=4 super Yang-Mills theory. Unitarity of the AdS supergravity demands that the imaginary parts of the correlation functions factorize…

High Energy Physics - Theory · Physics 2009-10-31 Gordon Chalmers , Koenraad Schalm

We study the real time correlators of scalar glueball operators for Yang-Mills theory at finite temperature in flat space. The analytic structure of the frequency space propagator in perturbative field theory is seen to be qualitatively…

High Energy Physics - Theory · Physics 2011-04-15 Sean A. Hartnoll , S. Prem Kumar

We compute spectral densities of momentum and R-charge correlators in thermal $\N=4$ Yang Mills at strong coupling using the AdS/CFT correspondence. For $\omega \sim T$ and smaller, the spectral density differs markedly from perturbation…

High Energy Physics - Phenomenology · Physics 2009-11-11 D. Teaney

We use the gauge-gravity duality conjecture to compute spectral functions of the stress-energy tensor in finite temperature N=4 supersymmetric Yang-Mills theory in the limit of large Nc and large coupling. The spectral functions exhibit…

High Energy Physics - Theory · Physics 2009-11-11 Pavel Kovtun , Andrei Starinets

In this paper we use AdS/CFT ideas in conjunction with insights from finite temperature real-time field theory formalism to compute 3-point correlators of ${\cal N}{=}4$ super Yang-Mills operators, in real time and at finite temperature. To…

High Energy Physics - Theory · Physics 2015-03-14 Edwin Barnes , Diana Vaman , Chaolun Wu , Peter Arnold

The use of supersymmetric localisation has recently led to modular covariant expressions for certain integrated correlators of half-BPS operators in $\mathcal{N} = 4$ supersymmetric Yang-Mills theory with a general classical gauge group…

High Energy Physics - Theory · Physics 2023-05-10 Daniele Dorigoni , Michael B. Green , Congkao Wen , Haitian Xie

The AdS/CFT correspondence has provided new and useful insights into the nonperturbative regime of strongly coupled gauge theories. We construct a class of models meant to mimic Yang-Mills theory using the superpotential method. This method…

High Energy Physics - Theory · Physics 2018-07-31 Sean P. Bartz , Aditya Dhumuntarao , Joseph I. Kapusta

We put forward a continuum approach for computing finite temperature correlation functions in Yang-Mills theory. This is done in a functional renormalisation group setting which allows for the construction of purely thermal RG-flows. This…

High Energy Physics - Phenomenology · Physics 2011-12-23 Leonard Fister , Jan M. Pawlowski

We study the AdS$_5$/CFT$_4$ duality where the boundary CFT is free Yang-Mills theory with gauge group SU(N). At the planar level we use the spectrum and correlation functions of the boundary theory to explicate features of the bulk theory.…

High Energy Physics - Theory · Physics 2016-11-23 Jin-Beom Bae , Euihun Joung , Shailesh Lal

We consider weakly-coupled QFT in AdS at finite temperature. We compute the holographic thermal two-point function of scalar operators in the boundary theory. We present analytic expressions for leading corrections due to local quartic…

High Energy Physics - Theory · Physics 2021-06-30 Luis F. Alday , Murat Kologlu , Alexander Zhiboedov

Matrix model describing the anomalous dimensions of composite operators in $\mathcal{N}=4$ super Yang--Mills theory up to one-loop level is considered at finite temperature. We compute the thermal effective action for this model, which we…

High Energy Physics - Theory · Physics 2008-11-26 Corneliu Sochichiu

The relation between the dilatation operator of N=4 Yang-Mills theory and integrable spin chains makes it possible to compute the one-loop anomalous dimensions of all operators in the theory. In this paper we show how to apply the…

High Energy Physics - Theory · Physics 2010-02-03 Radu Roiban , Anastasia Volovich

Correlators of Wilson loop operators with O_4=Tr(F_{\mu\nu}^2+...) are computed in N=4 super-Yang-Mills theory using the AdS/CFT correspondence. The results are compared with the leading order perturbative computations. As a consequence of…

High Energy Physics - Theory · Physics 2009-10-31 J. Erickson , G. W. Semenoff , K. Zarembo

We compute $1/\lambda$ corrections to the four-point functions of half-BPS operators in $SU(N)$ $\mathcal{N}=4$ super-Yang-Mills theory at large $N$ and large 't Hooft coupling $\lambda=g_\text{YM}^2 N$ using two methods. Firstly, we relate…

High Energy Physics - Theory · Physics 2020-01-29 Damon J. Binder , Shai M. Chester , Silviu S. Pufu , Yifan Wang

We perform a systematic study of integrated four-point functions of half-BPS operators in four-dimensional $\mathcal{N}=4$ super Yang-Mills theory with gauge group $SU(N)$. These observables, defined by a certain spacetime integral of…

High Energy Physics - Theory · Physics 2023-02-15 Hynek Paul , Eric Perlmutter , Himanshu Raj

We compute the high-temperature limit of the free energy for four-dimensional N=4 supersymmetric SU(N_c) Yang-Mills theory. At weak coupling we do so for a general ultrastatic background spacetime, and in the presence of slowly-varying…

High Energy Physics - Theory · Physics 2010-02-03 C. P. Burgess , N. R. Constable , R. C. Myers

Motivated by applications in thermal QCD and cosmology, we elaborate on a general method for computing next-to-leading order spectral functions for composite operators at vanishing spatial momentum, accounting for real, virtual as well as…

High Energy Physics - Phenomenology · Physics 2015-05-30 M. Laine , A. Vuorinen , Y. Zhu
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