Abstract
We study the expectation value of the \( \mathrm{T}\overline{\mathrm{T}} \) operator in maximally symmetric spacetimes. We define an diffeomorphism invariant biscalar whose coinciding limit gives the expectation value of the \( \mathrm{T}\overline{\mathrm{T}} \) operator. We show that this biscalar is a constant in flat spacetime, which reproduces Zamolodchikov’s result in 2004. For spacetimes with non-zero curvature, we show that this is no longer true and the expectation value of the \( \mathrm{T}\overline{\mathrm{T}} \) operator depends on both the one- and two-point functions of the stress-energy tensor.
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Jiang, Y. Expectation value of \( \mathrm{T}\overline{\mathrm{T}} \) operator in curved spacetimes. J. High Energ. Phys. 2020, 94 (2020). https://doi.org/10.1007/JHEP02(2020)094
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DOI: https://doi.org/10.1007/JHEP02(2020)094