Journal
PHYSICAL REVIEW LETTERS
Volume 112, Issue 14, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.112.141601
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Funding
- French ANR [05-BLAN-NT09-573739]
- ERC [226371]
- ITN program [PITN-GA-2009-237920]
- DOE [DE-SC0010010-Task, DE-SC0009988]
- Galileo Galilei Institute for Theoretical Physics
- INFN
- European Program Unification in the LHC Era [PITN-GA-2009-237920]
- Office of Science of the U.S. Department of Energy [DE-AC02-05CH1123]
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We study the conformal bootstrap in fractional space-time dimensions, obtaining rigorous bounds on operator dimensions. Our results show strong evidence that there is a family of unitary conformal field theories connecting the 2D Ising model, the 3D Ising model, and the free scalar theory in 4D. We give numerical predictions for the leading operator dimensions and central charge in this family at different values of D and compare these to calculations of phi(4) theory in the epsilon expansion.
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