Journal
COMPTES RENDUS PHYSIQUE
Volume 21, Issue 2, Pages 185-198Publisher
centre Mersenne pour ldition scientifique ouverte
DOI: 10.5802/crphys.23
Keywords
Phase transitions; Critical exponents; Conformal symmetry; Ising model; Emergence
Funding
- Simons Foundation [488655]
- Mitsubishi Heavy Industries
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We explain how the axioms of Conformal Field Theory are used to make predictions about critical exponents of continuous phase transitions in three dimensions, via a procedure called the conformal bootstrap. The method assumes conformal invariance of correlation functions, and imposes some relations between correlation functions of different orders. Numerical analysis shows that these conditions are incompatible unless the critical exponents take particular values, or more precisely that they must belong to a small island in the parameter space.
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