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

Jiang, Yunfeng

doi:10.1007/JHEP02(2020)094

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

Yunfeng Jiang
(
- CERN
)

Mar 18, 2019

26 pages

Published in:

JHEP 02 (2020) 094

Published: Feb 17, 2020

e-Print:

1903.07561 [hep-th]

DOI:

10.1007/JHEP02(2020)094

Report number:

CERN-TH-2019-030

View in:

reference search54 citations

Citations per year

Abstract: (Springer)

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.

Note:

Minor modifications, journal version

Effective Field Theories
Field Theories in Lower Dimensions
Renormalization Group
diffeomorphism: invariance
tensor: energy-momentum
space-time
curvature
two-point function

References(57)

Figures(0)

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

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