Defining Root-$T\overline{T}$ operator
High Energy Physics - Theory
2025-01-29 v3
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.
Cite
@article{arxiv.2405.17945,
title = {Defining Root-$T\overline{T}$ operator},
author = {Leszek Hadasz and Rikard von Unge},
journal= {arXiv preprint arXiv:2405.17945},
year = {2025}
}
Comments
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