Dynamics of Finite-Temperature Conformal Field Theories from Operator Product Expansion Inversion Formulas

We apply the operator product expansion inversion formula to thermal two-point functions of bosonic and fermionic conformal field theories in general odd dimensions. This allows us to analyze in detail the operator spectrum of these theories. We find that nontrivial thermal conformal field theories...

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Bibliographic Details
Published in:Physical review letters 2018-08, Vol.121 (7), p.071602-071602, Article 071602
Main Authors: Petkou, Anastasios C, Stergiou, Andreas
Format: Article
Language:English
Subjects:
Complex numbers
Mathematical analysis
Operators (mathematics)
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Summary:We apply the operator product expansion inversion formula to thermal two-point functions of bosonic and fermionic conformal field theories in general odd dimensions. This allows us to analyze in detail the operator spectrum of these theories. We find that nontrivial thermal conformal field theories arise when the thermal mass satisfies an algebraic transcendental equation that ensures the absence of an infinite set of operators from the spectrum. The solutions of these gap equations for general odd dimensions are in general complex numbers and follow a particular pattern. We argue that this pattern unveils the large-N vacuum structure of the corresponding theories at zero temperature.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.121.071602