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Related papers: Heavy-Heavy-Light Asymptotics from Thermal Correla…

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I point out that the thermal one-point functions of a pair of relevant operators in massive free QFTs, in odd dimensions and in the presence of an imaginary chemical potential for a U(1) global charge, are given by certain classes of…

High Energy Physics - Theory · Physics 2021-06-30 Anastasios C. Petkou

We study the operator product expansion (OPE) of identical scalars in a conformal four-point correlator as a Stieltjes moment problem, and use Riemann-Liouville type fractional differential operators to generate classical moments from the…

High Energy Physics - Theory · Physics 2025-10-17 David Poland , Gordon Rogelberg

The 't Hooft model (two-dimensional QCD in the limit of large number of colors) is used as a laboratory for exploring various aspects of the heavy quark expansions in the nonleptonic and semileptonic decays of heavy flavors. We perform a…

High Energy Physics - Phenomenology · Physics 2014-11-17 I. Bigi , M. Shifman , N. Uraltsev , A. Vainshtein

G\"ohmann, Kl\"umper and Seel derived the multiple integral formula of the density matrix of the $XXZ$ Heisenberg chain at finite temperatures. We have applied the high temperature expansion (HTE) method to isotropic case of their formula…

Statistical Mechanics · Physics 2011-07-19 Zengo Tsuboi

We show that in boundary CFTs, there exists a one-to-one correspondence between the boundary operator expansion of the two-point correlation function and a power series expansion of the layer susceptibility. This general property allows the…

High Energy Physics - Theory · Physics 2020-12-11 Parijat Dey , Tobias Hansen , Mykola Shpot

We apply the operator product expansion (OPE) technique to the decay and annihilation of heavy particles in a thermal medium with temperature below the heavy particle mass, m_chi. This allows us to explain two interesting observations made…

High Energy Physics - Phenomenology · Physics 2016-10-12 Martin Beneke , Francesco Dighera , Andrzej Hryczuk

We derive a nonperturbative, convergent operator product expansion (OPE) for null-integrated operators on the same null plane in a CFT. The objects appearing in the expansion are light-ray operators, whose matrix elements can be computed by…

High Energy Physics - Theory · Physics 2020-06-01 Murat Kologlu , Petr Kravchuk , David Simmons-Duffin , Alexander Zhiboedov

I give an introduction to the theory of preasymptotic effects based on the systematic OPE/HQET expansion in $1/m_Q$ where $m_Q$ is the heavy quark mass. The general idea is explained in two most instructive examples, with an emphasis on…

High Energy Physics - Phenomenology · Physics 2009-09-25 M. A. Shifman

We review the status of the practical operator product expansion (OPE), when applied to two-point correlators of QCD currents which interpolate to mesonic resonances, in view of the violations of local quark-hadron duality. Covered topics…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ralf Hofmann

The Hard Thermal Loop expansion, is an attractive theory, but it reveals difficulties when one uses it as a perturbative scheme. To illustrate this we use the HTL expansion to calculate the two loop corrections for soft virtual photons. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Haitham Zaraket

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

Recently, G\"ohmann, Kl\"umper and Seel have derived novel integral formulas for the correlation functions of the spin-1/2 Heisenberg chain at finite temperature. We have found that the high temperature expansion (HTE) technique can be…

Statistical Mechanics · Physics 2007-05-23 Zengo Tsuboi , Masahiro Shiroishi

In this letter we discuss the operator product expansion of scalar operators in five-dimensional field theories with an $SU(1,3)\times U(1)$ spacetime symmetry. Such theories arise by a novel conformal null reduction of six-dimensional…

High Energy Physics - Theory · Physics 2024-05-16 N. Lambert , A. Lipstein , R. Mouland

We calculate holographically three-point functions of scalar operators with large dimensions at finite density and finite temperature. To achieve this, we construct new solutions that involve two isometries of the deformed internal space.…

High Energy Physics - Theory · Physics 2023-09-15 George Georgiou , Dimitrios Zoakos

The operator product expansion (OPE) in 4d (super)conformal field theory is of broad interest, for both formal and phenomenological applications. In this paper, we use conformal perturbation theory to study the OPE of nearly-free fields…

High Energy Physics - Theory · Physics 2015-06-04 Daniel Green , David Shih

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

We compute three-point correlation functions in the near-extremal, near-horizon region of a Kerr black hole, and compare to the corresponding finite-temperature conformal field theory correlators. For simplicity, we focus on scalar fields…

High Energy Physics - Theory · Physics 2011-02-09 Melanie Becker , Sera Cremonini , Waldemar Schulgin

We discuss correlators of light fields in heavy states in 3d gravity and holographic 2d CFTs. In the bulk, the propagator of free fields in AdS backgrounds containing a conical defect or a BTZ black hole can be obtained by solving the wave…

High Energy Physics - Theory · Physics 2024-07-30 David Grabovsky

We develop a formalism to study the implications of causality on OPE coefficients in conformal field theories with large central charge and a sparse spectrum of higher spin operators. The formalism has the interpretation of a new conformal…

High Energy Physics - Theory · Physics 2018-12-17 Nima Afkhami-Jeddi , Sandipan Kundu , Amirhossein Tajdini

Coefficient functions of the operator product expansion of correlators of HQET heavy--light quark currents are calculated up operators of dimension 4 up to to 3 loops.

High Energy Physics - Phenomenology · Physics 2022-03-14 K. G. Chetyrkin , A. G. Grozin