Defining Root- operator
arXiv:2405.17945
Abstract
We give a tentative definition of the recently introduced Root- operator in a generic, two dimensional quantum conformal field theory with continuous spectrum of scaling weights. The definition assumes certain factorization properties and uses Schwinger parametrization to introduce the square root. Properties of the operator thus defined are investigated by explicit computation of variations of two- and three-point correlation functions.
28 pages, 1 figure; v2: references added; v3: material rearranged, discussion of the normal ordering prescription expanded and clarified; minor change in the title. Version accepted for publication in Physical Review D