The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT
Journal Article
·
· Journal of High Energy Physics (Online)
- California Institute of Technology (CalTech), Pasadena, CA (United States); California Institute of Technology (CalTech), Pasadena, CA (United States). Inst. for Quantum Information and Matter
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Yale Univ., New Haven, CT (United States)
We study the spectrum and OPE coefficients of the three-dimensional critical O(2) model, using four-point functions of the leading scalars with charges 0, 1, and 2 (s, $$\phi$$, and t). We obtain numerical predictions for low-twist OPE data in several charge sectors using the extremal functional method. We compare the results to analytical estimates using the Lorentzian inversion formula and a small amount of numerical input. We find agreement between the analytic and numerical predictions. We also give evidence that certain scalar operators lie on double-twist Regge trajectories and obtain estimates for the leading Regge intercepts of the O(2) model.
- Research Organization:
- California Institute of Technology (CalTech), Pasadena, CA (United States); Yale Univ., New Haven, CT (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP); Simons Foundation
- Grant/Contract Number:
- SC0019085; SC0020318; 488657; 488651
- OSTI ID:
- 1712432
- Journal Information:
- Journal of High Energy Physics (Online), Vol. 2020, Issue 9; ISSN 1029-8479
- Publisher:
- Springer BerlinCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Factorized lightcone expansion of conformal blocks | text | January 2020 |
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