Defining the root- T T ¯ operator

Leszek Hadasz, Rikard von Unge · Physical review. D/Physical review. D. · 2025

We give a tentative definition of the recently introduced root- T T ¯ operator in a generic, two-dimensional quantum conformal field theory with a 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.

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