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In classical mechanics, a procedure for simultaneous synchronization in all inertial frames is consistent with the Galilean transformation. However, if one attempts to achieve such a synchronization utilizing light signals, he will be…

Physics Education · Physics 2007-05-23 C. P. Viazminsky

We consider the D1D5 CFT near the orbifold point and develop methods for computing the mixing of untwisted operators to first order by using the OPE on the covering surface. We argue that the OPE on the cover encodes both the structure…

High Energy Physics - Theory · Physics 2017-08-02 Benjamin A. Burrington , Ian T. Jardine , Amanda W. Peet

Frequency light shifts resulting from the localization effects and effects of the quantization of translational atomic motion in an optical lattice is studied for a forbidden optical transition $J$=0$\to$$J$=0. In the Lamb-Dicke regime this…

Atomic Physics · Physics 2013-05-29 A. V. Taichenachev , V. I. Yudin , V. D. Ovsiannikov , V. G. Pal'chikov

We utilize the deformed light-cone formalism to investigate the Carrollian version of a complex vector field theory. We find that after applying the null-reduction procedure and the Carrollian limit $c\rightarrow 0$, the "-" null-direction…

High Energy Physics - Theory · Physics 2026-03-10 Limin Zeng

In recent years there has been a renewed interest in finding fast algorithms to compute accurately the linear canonical transform (LCT) of a given function. This is driven by the large number of applications of the LCT in optics and signal…

Numerical Analysis · Mathematics 2009-12-09 Rafael G. Campos , Jared Figueroa

The existence of an exactly marginal deformation in a conformal field theory is very special, but it is not well understood how this is reflected in the allowed dimensions and OPE coefficients of local operators. To shed light on this…

High Energy Physics - Theory · Physics 2018-03-28 Connor Behan

We present the foundation for a holographic dictionary with depth perception. The dictionary consists of natural CFT operators whose duals are simple, diffeomorphism-invariant bulk operators. The CFT operators of interest are the "OPE…

High Energy Physics - Theory · Physics 2016-09-29 Bartlomiej Czech , Lampros Lamprou , Samuel McCandlish , Benjamin Mosk , James Sully

Exploiting the analytic properties of the scattering amplitude, we provide an alternative but equivalent definition of the standard Mellin transform used to obtain celestial correlation functions. From this representation, we identify a…

High Energy Physics - Theory · Physics 2026-02-04 Eduardo Casali , Riccardo Giordana Pozzi

We review the fundamental ideas of quantizing a theory on a Light Front including the Hamiltonian approach to the problem of bound states on the Light Front and the limiting transition from formulating a theory in Lorentzian coordinates…

High Energy Physics - Theory · Physics 2009-11-11 E. -M. Ilgenfritz , S. A. Paston , H. -J. Pirner , E. V. Prokhvatilov , V. A. Franke

We study features of celestial CFT correlation functions when the bulk theory is itself a CFT. We show that conformal inversions in the bulk map boost eigenstates to shadow transformed boost eigenstates. This is demonstrated explicitly for…

High Energy Physics - Theory · Physics 2023-10-04 Eivind Jørstad , Sabrina Pasterski , Atul Sharma

We analyze the convergence properties of operator product expansions (OPE) for Lorentzian CFT four-point functions of scalar operators. We give a complete classification of Lorentzian four-point configurations. All configurations in each…

High Energy Physics - Theory · Physics 2022-10-12 Jiaxin Qiao

We examine two-dimensional conformal field theories (CFTs) at central charge c=0. These arise typically in the description of critical systems with quenched disorder, but also in other contexts including dilute self-avoiding polymers and…

High Energy Physics - Theory · Physics 2016-11-23 V. Gurarie , A. W. W. Ludwig

We study the Fock quantization of scalar fields of Klein-Gordon type in nonstationary scenarios propagating in spacetimes with compact spatial sections, allowing for different field descriptions that are related by means of certain nonlocal…

General Relativity and Quantum Cosmology · Physics 2013-02-06 Jerónimo Cortez , Lucía Fonseca , Daniel Martín-de Blas , Guillermo A. Mena Marugán

We study non-linear optical effects in electron systems with and without inversion symmetry in a Fabry-Perot cavity. General photon up- and down-conversion processes are modeled by the coupling of a noninteracting lattice model to two modes…

Strongly Correlated Electrons · Physics 2021-08-04 Markus Lysne , Philipp Werner

Using the ambitwistor string, we complete the list of celestial OPE coefficients for supersymmetric theories. This uses the ambitwistor string worldsheet CFT to dynamically generate the OPE coefficients for maximally supersymmetric gauge…

High Energy Physics - Theory · Physics 2022-07-13 Wei Bu

We start by defining two-particle operators that appear in celestial CFT. We then show how to compute their OPE coefficients with the known single-particle operators at tree level from multiparticle factorization channels, focusing on the…

High Energy Physics - Theory · Physics 2025-07-21 Alfredo Guevara , Yangrui Hu , Sabrina Pasterski

We present new asymptotic formulas for the distribution of OPE coefficients in conformal field theories. These formulas involve products of four or more coefficients and include light-light-heavy as well as heavy-heavy-heavy contributions.…

High Energy Physics - Theory · Physics 2023-11-15 Tarek Anous , Alexandre Belin , Jan de Boer , Diego Liska

The Carroll group arises in the vanishing speed of light limit of the Poincar\'{e} group and was initially discarded as just a mathematical curiosity. However, recent developments have proved otherwise. Carroll and conformal Carroll…

High Energy Physics - Theory · Physics 2026-05-01 Arjun Bagchi , Aritra Banerjee , Prateksh Dhivakar , Saikat Mondal , Ashish Shukla

We compute the four-point correlator of two gluon light-ray operators and two gluon primaries from the four-gluon celestial amplitude in $(2,2)$ signature spacetime. The correlator is non-distributional and allows us to verify that…

High Energy Physics - Theory · Physics 2022-08-10 Yangrui Hu , Luke Lippstreu , Marcus Spradlin , Akshay Yelleshpur Srikant , Anastasia Volovich

We provide a concrete link between celestial amplitudes and cosmological correlators. We first construct a map from quantum field theories (QFTs) in $(D+2)$-dimensional Euclidean space to theories on the $(D+1)$-dimensional sphere, through…

High Energy Physics - Theory · Physics 2025-11-10 Hideo Furugori , Naoki Ogawa , Sotaro Sugishita , Takahiro Waki
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