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We compute euclidean coordinate space correlation functions in a holographic model of QCD. We concentrate, in particular, on channels that are related to the U(1)_A problem, the flavor-singlet axialvector, pseudoscalar meson, and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Thomas Schaefer

Dual AdS/CFT correlators can be computed in two ways: differentiate the bulk partition function with respect to boundary conditions, or extrapolate bulk correlation functions to the boundary. These dictionaries were conjectured to be…

High Energy Physics - Theory · Physics 2011-04-22 Daniel Harlow , Douglas Stanford

We give a group-theoretic interpretation of non-relativistic holography as equivalence between representations of the Schrodinger algebra describing bulk fields and boundary fields. Our main result is the explicit construction of the…

High Energy Physics - Theory · Physics 2010-01-06 N. Aizawa , V. K. Dobrev

We use the worldline representation for correlation functions together with numerical path integral methods to extract nonperturbative information about the propagator to all orders in the coupling in the quenched limit…

High Energy Physics - Theory · Physics 2019-11-27 Sebastián Franchino-Viñas , Holger Gies

We evaluate the propagator of scalar and spinor in three dimensional quantum electrodynamics with the use of Ward-Identity for soft-photon emission vertex.We work well in position space to treat infrared divergences in our model.…

High Energy Physics - Theory · Physics 2009-11-10 Y. Hoshino

This paper investigates scalar perturbations in the top-down supersymmetric Janus solutions dual to conformal interfaces in the $D1/D5$ CFT, finding analytic closed-form solutions. We obtain an explicit representation of the bulk-to-bulk…

High Energy Physics - Theory · Physics 2017-05-24 Marco Chiodaroli , John Estes , Yegor Korovin

We propose a covariant definition of the fractional Klein-Gordon equation with long-range interactions independent of the metric of the underlying manifold. As an example we consider the fractional Klein-Gordon equation on AdS$_{2+1}$,…

High Energy Physics - Theory · Physics 2022-08-24 Pablo Basteiro , Janine Elfert , Johanna Erdmenger , Haye Hinrichsen

Field quantization in 5D flat and warped space-times with Z$_2$-parity is comparatively examined. We carefully and closely derive 5D position/momentum(P/M) propagators. Their characteristic behaviours depend on the 4D (real world) momentum…

High Energy Physics - Theory · Physics 2008-11-26 S. Ichinose , A. Murayama

We investigate the scattering processes of two photons in a one-dimensional waveguide coupled to two giant atoms. By adjusting the accumulated phase shifts between the coupling points, we are able to effectively manipulate the…

Quantum Physics · Physics 2024-03-01 Wenju Gu , Lei Chen , Zhen Yi , Sujing Liu , Gao-xiang Li

Recently Drummond and Hillery [Phys. Rev.A 59, 691(1999)] presented a quantum theory of dispersion based on the analysis of a coupled system of the electromagnetic field and atoms in the multipolar QED formulation. The theory has led to the…

Quantum Physics · Physics 2007-05-23 Gediminas Juzeliunas

We discuss the canonical quantization of Quantum Electrodynamics in $2+1$ dimensions, with a Chern-Simons topological mass term and gauge-covariant coupling to a Dirac spinor field. A gauge-fixing term is used which generates a canonical…

High Energy Physics - Theory · Physics 2009-10-22 Kurt Haller , Edwin Lombridas

In this paper, we investigate how AdS scalar propagators are represented in the celestial basis. Starting from the standard bulk-to-boundary propagator in Euclidean AdS space, we express the propagator in a Schwinger parametrization and…

High Energy Physics - Theory · Physics 2026-05-15 Pongwit Srisangyingcharoen

We show that AdS two-point functions can be obtained by connecting two points in the interior of AdS space with one point on its boundary by a dual pair of Dobrev's boundary-to-bulk intertwiners and integrating over the boundary point.

High Energy Physics - Theory · Physics 2010-04-05 Thorsten Leonhardt , Ruben Manvelyan , Werner Ruehl

We investigate the heat equation corresponding to the Bessel operators on a symmetric cone $\Omega=G/K$. These operators form a one-parameter family of elliptic self-adjoint second order differential operators and occur in the Lie algebra…

Analysis of PDEs · Mathematics 2013-11-27 Jan Möllers

We calculate holographically one and two-point functions of scalar operators at finite density and/or finite temperature. In the case of finite density and zero temperature we argue that only scalar operators can have non-zero VEVs. In the…

High Energy Physics - Theory · Physics 2022-11-30 George Georgiou , Dimitrios Zoakos

We introduce the technique of inverse Mellin transform in a problem of strong-field QED. We show that the {\it moments} of pair production width in a uniform background magnetic field are proportional to the derivatives of photon…

High Energy Physics - Theory · Physics 2007-05-23 Guey-Lin Lin

We consider a version of the $AdS_{d+1}/CFT_{d}$ correspondence, in which the bulk space is taken to be the quotient manifold $AdS_{d+1} /\Gamma$ with a fairly generic discrete group $\Gamma$ acting isometrically on $AdS_{d+1}$. We address…

High Energy Physics - Theory · Physics 2009-10-31 Yi-hong Gao

We demonstrate how three-point correlation functions of the free scalar U(N) model involving two scalar operators and one spin-$s$ conserved current organize themselves into corresponding AdS amplitudes involving two scalar and one spin-$s$…

High Energy Physics - Theory · Physics 2020-09-23 Shailesh Lal

Boundary correlation functions provide insight into the emergence of an effective geometry in higher spin gravity duals of O(N) or U(N) symmetric field theories. On a compact manifold, the singlet constraint leads to nontrivial dynamics at…

High Energy Physics - Theory · Physics 2017-03-08 Irene Amado , Bo Sundborg , Larus Thorlacius , Nico Wintergerst

We show that the spectrum of the SYK model can be interpreted as that of a 3D scalar coupled to gravity. The scalar has a mass which is at the Breitenholer-Freedman bound of AdS$_2$, and subject to a delta function potential at the center…

High Energy Physics - Theory · Physics 2017-09-20 Sumit R. Das , Antal Jevicki , Kenta Suzuki