Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published July 15, 2012 | Submitted + Published
Journal Article Open

Solving the 3D Ising model with the conformal bootstrap

Abstract

We study the constraints of crossing symmetry and unitarity in general 3D conformal field theories. In doing so we derive new results for conformal blocks appearing in four-point functions of scalars and present an efficient method for their computation in arbitrary space-time dimension. Comparing the resulting bounds on operator dimensions and product-expansion coefficients in 3D to known results, we find that the 3D Ising model lies at a corner point on the boundary of the allowed parameter space. We also derive general upper bounds on the dimensions of higher spin operators, relevant in the context of theories with weakly broken higher spin symmetries.

Additional Information

© 2012 American Physical Society. Received 22 May 2012; published 20 July 2012 We are grateful to Juan Maldacena, Hugh Osborn, and Mohammad Rajabpour for useful discussions. The work of S. R. is supported in part by the European Program Unification in the LHC Era, Contract No. PITN-GA-2009-237920 (UNILHC), and by the Émergence-UPMC-2011 research program. The work of D. P. is supported by DOE Grant No. DE-FG02-90ER40542. The work of A. V. is supported by the Office of High Energy Physics of the U.S. Department of Energy under the Contract No. DE-AC02-05CH1123. The work of S. E. is supported primarily by the Netherlands Organization for Scientific Research (NWO) under a Rubicon grant and also partially by the ERC Starting Independent Researcher Grant No. 240210-String-QCD-BH.

Attached Files

Published - PhysRevD.86.025022.pdf

Submitted - 1203.6064.pdf

Files

1203.6064.pdf
Files (2.1 MB)
Name Size Download all
md5:530b6c979e207ebdc8ac7d8fde4840ab
1.4 MB Preview Download
md5:bc8dbff28c5c8ad7a13841493a49a7fe
655.7 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
October 17, 2023