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Critical exponents of the 3d Ising and related models from Conformal Bootstrap

Authors
  • Gliozzi, Ferdinando
  • Rago, Antonio
Type
Preprint
Publication Date
Mar 16, 2015
Submission Date
Mar 24, 2014
Identifiers
DOI: 10.1007/JHEP10(2014)042
Source
arXiv
License
Yellow
External links

Abstract

The constraints of conformal bootstrap are applied to investigate a set of conformal field theories in various dimensions. The prescriptions can be applied to both unitary and non unitary theories allowing for the study of the spectrum of low-lying primary operators of the theory. We evaluate the lowest scaling dimensions of the local operators associated with the Yang-Lee edge singularity for $2 \le D \le 6$. Likewise we obtain the scaling dimensions of six scalars and four spinning operators for the 3d critical Ising model. Our findings are in agreement with existing results to a per mill precision and estimate several new exponents.

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