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arXiv · 1903.07561

Expectation value of $\mathrm{T}\overline{\mathrm{T}}$ operator in curved spacetimes

Yunfeng Jiang
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Abstract

We study the expectation value of the $\mathrm{T}\overline{\mathrm{T}}$ operator in spacetimes with constant curvature. 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-point and two-point functions of the stress-energy tensor.

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Yunfeng Jiang. 2019-03-18. Expectation value of $\mathrm{T}\overline{\mathrm{T}}$ operator in curved spacetimes. https://doi.org/10.1007/jhep02(2020)094

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