Crossing symmetric dispersion for mellin
WebMay 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 … 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.
Crossing symmetric dispersion for mellin
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WebIn general d we establish this Witten diagram basis from a crossing antisymmetric dispersion relation in Mellin space. Analogous to the crossing symmetric case, the … 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 ...
WebJul 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 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.
WebDec 9, 2024 · Crossing Symmetric Dispersion Relations in QFTs Aninda Sinha, Ahmadullah Zahed For 2-2 scattering in quantum field theories, the usual fixed dispersion relation exhibits only two-channel symmetry. This paper considers a crossing symmetric dispersion relation, reviving certain old ideas in the 1970s. WebDec 7, 2024 · This paper presents the fascinating correspondence between the geometric function theory and the scattering amplitudes with O(N) global symmetry.A crucial ingredient to show such correspondence is a fully crossing symmetric dispersion relation in the z-variable, rather than the fixed channel dispersion relation.We have written down fully …
Webcrossing symmetric parameterization of the Mellin varia-bles ðs;tÞ (which are analogous to the usual Mandelstam invariants) and write the corresponding dispersion relation. This is …
WebThis Letter considers a crossing symmetric dispersion relation, reviving certain old ideas from the 1970s. Rather than the fixed t dispersion relation, this needs a dispersion relation in a ... kansas city chiefs footballs for saleWebMay 7, 2024 · The resulting dispersion is manifestly three-channel crossing symmetric. We give simple derivations of certain known positivity conditions for effective field theories, including the null... lawn roller with spikes at rural kingWebNov 22, 2024 · The U.S. Department of Energy's Office of Scientific and Technical Information lawn roller wickesWebNov 27, 2024 · Crossing symmetry, transcendentality and the Regge behaviour of 1d CFTs. We develop the technology for Polyakov-Mellin (PM) bootstrap in one- dimensional conformal field theories (CFT1). By adding appropriate contact terms, we bootstrap various effective field theories in AdS2 and analytically compute the CFT data to one loop. lawn roller with wheelsWebMay 27, 2024 · Abstract We consider manifestly crossing symmetric dispersion relations for Mellin amplitudes of scalar four point correlators in conformal field theories. lawn rollingWebMay 1, 2024 · Europe PMC is an archive of life sciences journal literature. lawn rolling fox valleyWebMay 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. kansas city chiefs football standings