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

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arxiv 1903.07561 v2 pith:CEUTFCUT submitted 2019-03-18 hep-th

classification hep-th
keywords mathrmexpectationoperatoroverlinevaluespacetimesbiscalarconstant
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Integrability and Renormalization under $T \bar T$

    hep-th 2019-09 conditional novelty 6.0 of 10

    At one loop, the renormalized Lagrangian of the T Tbar-deformed massive scalar splits the two quartic couplings, making g and h unequal, in contrast to the classical Lagrangian.

  2. Entanglement entropy and $T\bar T$ deformations beyond antipodal points from holography

    hep-th 2019-08 conditional novelty 6.0 of 10

    For a holographic (A)dS spacetime with a hard radial cutoff, the entanglement entropy of any interval on the sphere equals the antipodal-point formula with radius R cos(beta_epsilon).

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