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Resummation at finite conformal spin

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3];  [4]
  1. Univ. of Copenhagen (Denmark); DOE/OSTI
  2. Texas A & M Univ., College Station, TX (United States)
  3. Univ. of Copenhagen (Denmark)
  4. Univ. of Tokyo (Japan)
+ Show Author Affiliations
We generalize the computation of anomalous dimension and correction to OPE coefficients at finite conformal spin considered recently in [1, 2] to arbitrary space-time dimensions. By using the inversion formula of Caron-Huot and the integral (Mellin) representation of conformal blocks, we show that the contribution from individual exchanges to anomalous dimensions and corrections to the OPE coefficients for “double-twist” operators [O1O2]Δ,J in s-channel can be written at finite conformal spin in terms of generalized Wilson polynomials. This approach is democratic with respect to space-time dimensions, thus generalizing the earlier findings to cases where closed form expressions of the conformal blocks are not available.
Research Organization:
Texas A & M Univ., College Station, TX (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0010813
OSTI ID:
1611519
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2019; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (7)

Closed-form expression for cross-channel conformal blocks near the lightcone journal January 2020
An alternative to diagrams for the critical O(N) model: dimensions and structure constants to order 1/N2 journal January 2020
Quantum Regge trajectories and the Virasoro analytic bootstrap journal May 2019
Higher spin ANEC and the space of CFTs journal July 2019
Quantum Regge Trajectories and the Virasoro Analytic Bootstrap text January 2018
Closed-form expression for cross-channel conformal blocks near the lightcone text January 2019
An alternative to diagrams for the critical O(N) model: dimensions and structure constants to order $1/N^2$ text January 2019

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Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Conformal Field Theory
Field Theories in Higher Dimensions
Physics