Operator product expansion convergence in conformal field theory

We clarify questions related to the convergence of the operator product expansion and conformal block decomposition in unitary conformal field theories (for any number of spacetime dimensions). In particular, we explain why these expansions are convergent in a finite region. We also show that the convergence is exponentially fast, in the sense that the operators of dimension above Delta contribute to correlation functions at most exp(-a Delta). Here the constant a > 0 depends on the positions of operator insertions and we compute it explicitly.


Published in:
Physical Review D, 86, 10
Year:
2012
Publisher:
College Pk, Amer Physical Soc
ISSN:
1550-7998
Laboratories:




 Record created 2013-02-27, last modified 2018-09-13


Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)