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Cited by 334

The DOI matches its Crossref record; 53 of the 53 references it cites were found in a registry or an index.

Conformal basis for flat space amplitudes

Open access
Pasterski, Sabrina, Shao, Shu-Heng·2017·Physical Review D
DOI 10.1103/physrevd.96.065022
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Abstract

We study solutions of the Klein-Gordon, Maxwell, and linearized Einstein equations in ${\mathbb{R}}^{1,d+1}$ that transform as $d$-dimensional conformal primaries under the Lorentz group $SO(1,d+1)$. Such solutions, called conformal primary wavefunctions, are labeled by a conformal dimension $\mathrm{\ensuremath{\Delta}}$ and a point in ${\mathbb{R}}^{d}$, rather than an on-shell ($d+2$)-dimensional momentum. We show that the continuum of scalar conformal primary wavefunctions on the principal continuous series $\mathrm{\ensuremath{\Delta}}\ensuremath{\in}\frac{d}{2}+i\mathbb{R}$ of $SO(1,d+1)$ spans a complete set of normalizable solutions to the wave equation. In the massless case, with or without spin, the transition from momentum space to conformal primary wavefunctions is implemented by a Mellin transform. As a consequence of this construction, scattering amplitudes in this basis transform covariantly under $SO(1,d+1)$ as $d$-dimensional conformal correlators.

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Metadata

Authors
Pasterski, S., & Shao, S.-H.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2017-09-25
Volume
96
Issue
6
ISSN
  • 2470-0010 (ISSN-L)
  • 2470-0029
DOI
10.1103/physrevd.96.065022
OpenAlex
W2611539802
Cited by
334
References
53
FWCI
7.16
Type
journal article
Language
en
Open access
green

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