Crossing symmetric dispersion for mellin
WebMar 31, 2024 · A Mellin space approach to the conformal bootstrap R. Gopakumar, A. Kaviraj, Kallol Sen, Aninda Sinha Mathematics 2016 A bstractWe describe in more detail our approach to the conformal bootstrap which uses the Mellin representation of CFTd four point functions and expands them in terms of crossing symmetric… Expand 195 PDF WebJan 1, 2024 · The work presented here combines this method with the classical Mellin transform to extend the class of integrands where the method of brackets can be applied. A selected number of examples are used to illustrate this procedure. ... Using the crossing symmetric dispersion relation (CSDR), we recast the Celestial amplitudes in terms of …
Crossing symmetric dispersion for mellin
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WebMay 1, 2024 · Europe PMC is an archive of life sciences journal literature. WebAug 22, 2024 · We consider 2-2 scattering in four spacetime dimensions in Celestial variables. Using the crossing symmetric dispersion relation (CSDR), we recast the Celestial amplitudes in terms of crossing symmetric partial waves. These partial waves have spurious singularities in the complex Celestial variable, which need to be removed …
WebOct 6, 2024 · A bstract We elaborate on some general aspects of the crossing symmetric approach of Polyakov to the conformal bootstrap, as recently formulated in Mellin space. This approach uses, as building ... WebSep 28, 2024 · This work considers manifestly crossing symmetric dispersion relations for Mellin amplitudes of scalar four point correlators in conformal field theories and employs certain "locality" constraints replacing the requirement of crossing symmetry in the usual fixed-t dispersion relation.
WebWe check that the planar Mellin amplitude of four stress-tensor multiplets in $\mathcal{N} = 4$ SYM satisfies our bounds. ... We develop crossing symmetric dispersion relations for describing 2-2 ... WebOct 6, 2024 · Dispersion relations for S-matrices and CFT correlators translate UV consistency into bounds on IR observables. In this note, we construct dispersive sum rules for 1D CFTs. We use them to prove bounds on higher-derivative couplings in weakly-coupled non-gravitational EFTs in AdS2.
WebMay 27, 2024 · Abstract We consider manifestly crossing symmetric dispersion relations for Mellin amplitudes of scalar four point correlators in conformal field theories.
WebNov 22, 2024 · Our main tools are dispersive sum rules that provide a dictionary between CFT dispersion relations and S-matrix dispersion relations in appropriate limits. This dictionary allows us to apply recently-developed flat-space methods to construct positive CFT functionals. teardew eye drops bootsWebNonperturbative Mellin Amplitudes. João Pedro. 2024. See Full PDF Download PDF. See Full PDF ... tear diamond ringWebMay 27, 2024 · We consider manifestly crossing symmetric dispersion relations for Mellin amplitudes of scalar four point correlators in conformal field theories. This allows us to … span and range differenceWebMay 27, 2024 · Based on earlier work in [35,36], a crossing symmetric dispersion relation for Mellin amplitudes was derived in [37]. The idea is to use the variables and in this … teardown 1.0WebMay 26, 2024 · They have been discussed using three seemingly different methods: analytic functionals dual to double-twist operators, dispersion relations in position space, and dispersion relations in Mellin space. We show that these three approaches can be mapped into one another and lead to completely equivalent sum rules. span america encore fully electric bedWebJul 22, 2024 · We construct modular linear differential equations (MLDEs) w.r.t. subgroups of the modular group whose solutions are Virasoro conformal blocks appearing in the expansion of a crossing symmetric… 1 PDF On classification of fermionic rational conformal field theories Z. Duan, Kimyeong Lee, Sungjay Lee, Linfeng Li Physics teardown 100 percent saveWebNov 22, 2024 · The U.S. Department of Energy's Office of Scientific and Technical Information spanan camping osterrönfeld