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Bare Quantum Null Energy Condition · Around

2017

Bare Quantum Null Energy Condition

Fu, Zicao, Marolf, Donald

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The quantum null energy condition (QNEC) is a conjectured relation between a null version of quantum field theory energy and derivatives of quantum field theory von Neumann entropy.

In some cases, divergences cancel between these two terms and the QNEC is intrinsically finite.
We study the more general case here where they do not and argue that a QNEC can still hold for bare (unrenormalized) quantities.
While the original QNEC applied only to locally stationary null congruences in backgrounds that solve semiclassical theories of quantum gravity, at least in the formal perturbation theory at a small Planck length, the quantum focusing conjecture can be viewed as the special case of our bare QNEC for which the metric is on shell.

Built on

K. Skenderis, Int. J. Mod. Phys. A 16
2001
Earlier work this paper cites.
J. Podolsky and M. Ortaggio, Class. Quant. Grav. 23
2006
Earlier work this paper cites.
L. M. Cao, JHEP 1103
Original
2011
Earlier work this paper cites.
W. Donnelly and A. C. Wall, Phys. Rev. Lett. 114
Original
2015
Earlier work this paper cites.

Similar

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R. Bousso, Z. Fisher, J. Koeller, S. Leichenauer and A. C. Wall, Phys. Rev. D 93
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J. Koeller and S. Leichenauer, Phys. Rev. D 94
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And when enough additional derivatives of θ \theta and σ α β \sigma_{\alpha\beta} also vanish
Cited in the paper.
S. Balakrishnan, T. Faulkner, Z. U. Khandker and H. Wang, arXiv:1706.09432 [hep-th]
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C. Akers, V. Chandrasekaran, S. Leichenauer, A. Levine and A. Shahbazi Moghaddam, arXiv:1706.04183 [hep-th]
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Or, at least, an arbitrary state which is sufficiently well behaved in the ultraviolet
Cited in the paper.
We allow both fundamental scalars (namely, those that appear directly in the action) as well as composite operators such as those that might arise in general operator product expansions
Cited in the paper.
R. M. Wald, doi:10.7208/chicago/9780226870373.001.0001
Cited in the paper.
In fact, σ α β \sigma_{\alpha\beta} vanishes identically for d ≤ 3 d\leq 3 , but we carry it along to yield expressions valid in general dimensions. This will be useful below
Cited in the paper.
Up to a change of sign associated with a reinterpretation of the Ricci-squared term as a “matter” term here as opposed to a “gravitational” term in Ref. [ 6 ] ; i.e., the − T k k -T_{kk} appearing on the right-hand side of their Eq. (3.11) is in fact + T k k +T_{kk} in our notation
Cited in the paper.
Modulo the fact that the exact set of derivatives of θ \theta and σ α β \sigma_{\alpha\beta} that must vanish was not established in Ref. [ 4 ]
Cited in the paper.

Then

Z. Fu, J. Koeller and D. Marolf, Class. Quant. Grav. 34
Original
2017
Closest in time.
Z. Fu, J. Koeller and D. Marolf, Class. Quant. Grav. 34
Original
2017
Closest in time.
R. C. Myers, M. F. Paulos and A. Sinha, JHEP 1008
Original
2055
Closest in time.

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