Title: Carving out OPE space and precise O(2) model critical exponents

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3];  [4];  [2];  [5];  [6]
  1. Weizmann Inst. of Science, Rehovot (Israel). Dept. of Particle Physics and Astrophysics; OSTI
  2. California Institute of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
  3. California Institute of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics and Inst. for Quantum Information and Matter
  4. California Institute of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics; Yale Univ., New Haven, CT (United States). Dept. of Physics
  5. Swiss Federal Inst. of Technology in Lausanne (EPFL) (Switzerland). Inst. of Physics
  6. Swiss Federal Inst. of Technology in Lausanne (EPFL) (Switzerland). Inst. of Physics; Univ. of Pisa (Italy). Dept. of Physics
+ Show Author Affiliations

We develop new tools for isolating CFTs using the numerical bootstrap. A “cutting surface” algorithm for scanning OPE coefficients makes it possible to find islands in high-dimensional spaces. Together with recent progress in large-scale semidefinite programming, this enables bootstrap studies of much larger systems of correlation functions than was previously practical. We apply these methods to correlation functions of charge-0, 1, and 2 scalars in the 3d O(2) model, computing new precise values for scaling dimensions and OPE coefficients in this theory. Our new determinations of scaling dimensions are consistent with and improve upon existing Monte Carlo simulations, sharpening the existing decades-old 8σ discrepancy between theory and experiment.

Research Organization:
California Institute of Technology (CalTech), Pasadena, CA (United States); Swiss Federal Inst. of Technology in Lausanne (EPFL) (Switzerland); Yale Univ., New Haven, CT (United States)
Sponsoring Organization:
European Research Council (ERC); National Science Foundation (NSF); Simons Foundation; Swiss National Science Foundation (SNSF); USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0019085; SC0020318
OSTI ID:
1646617
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 6 Vol. 2020; ISSN 1029-8479
Publisher:
Springer NatureCopyright Statement
Country of Publication:
United States
Language:
English

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Conformal Field Theory
Conformal and W Symmetry
Global Symmetries