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

Abstract

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.

Authors:
 [1];  [2];  [3];  [4];  [2];  [5];  [6]
  1. Weizmann Inst. of Science, Rehovot (Israel). Dept. of Particle Physics and Astrophysics
  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. 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
Publication Date:
Research Org.:
Yale Univ., New Haven, CT (United States); California Institute of Technology (CalTech), Pasadena, CA (United States); Swiss Federal Inst. of Technology in Lausanne (EPFL) (Switzerland)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Simons Foundation; European Research Council (ERC); Swiss National Science Foundation (SNSF)
OSTI Identifier:
1646617
Grant/Contract Number:  
SC0020318; SC0019085; ACI-1548562; 488657; 488651; 758903; PP00P2-163670
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 6; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Chester, Shai M., Landry, Walter, Liu, Junyu, Poland, David, Simmons-Duffin, David, Su, Ning, and Vichi, Alessandro. Carving out OPE space and precise O(2) model critical exponents. United States: N. p., 2020. Web. https://doi.org/10.1007/JHEP06(2020)142.
Chester, Shai M., Landry, Walter, Liu, Junyu, Poland, David, Simmons-Duffin, David, Su, Ning, & Vichi, Alessandro. Carving out OPE space and precise O(2) model critical exponents. United States. https://doi.org/10.1007/JHEP06(2020)142
Chester, Shai M., Landry, Walter, Liu, Junyu, Poland, David, Simmons-Duffin, David, Su, Ning, and Vichi, Alessandro. Tue . "Carving out OPE space and precise O(2) model critical exponents". United States. https://doi.org/10.1007/JHEP06(2020)142. https://www.osti.gov/servlets/purl/1646617.
@article{osti_1646617,
title = {Carving out OPE space and precise O(2) model critical exponents},
author = {Chester, Shai M. and Landry, Walter and Liu, Junyu and Poland, David and Simmons-Duffin, David and Su, Ning and Vichi, Alessandro},
abstractNote = {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.},
doi = {10.1007/JHEP06(2020)142},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2020,
place = {United States},
year = {2020},
month = {6}
}

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Figures / Tables:

Table 1 Table 1: Comparison of conformal bootstrap (CB) results with previous determinations from Monte Carlo (MC) or experiment (EXP). We denote the leading charge 0, 1, and 2 scalars by s, φ, t, respectively. Bold uncertainties correspond to rigorous intervals from bootstrap bounds. Uncertainties marked with a indicate that the valuemore » is estimated non-rigorously by sampling points, see sections 4.2 and 4.3.« less

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