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The Entropy Bound for Local Quantum Field Theory · Around

2007

The Entropy Bound for Local Quantum Field Theory

Chen, Yi-Xin, Xiao, Yong

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We investigate the entropy bound for local quantum field theory in this paper.

Both the bosonic and fermionic fields confined to an asymptotically flat spacetime are examined.
By imposing the non-gravitational collapse condition, we find both of them are limited by the same entropy bound $A^{3/4}$, where $A$ is the boundary area of the region where the quantum fields are contained in.
The gap between this entropy bound and the holographic entropy has been verified.

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A. Aste, hep-th/0604002

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In [ 12 ] , Aste proposed that a careful consideration may lead to the entropy bound A 3 / 4 A^{3/4} . To support this argument, he has cited our results in arXiv:0705.1414 which is an informal version of our present paper with the form of a comment on [ 7 ] . Aste also asserted that he had another independent derivation to A 3 / 4 A^{3/4} though he didn’t write it out for some reasons

Cited in the paper.

Actually, due to the UV-IR relation Eq.( 10

Cited in the paper.

In the derivation to Eq.( 12

Cited in the paper.

Y.X. Chen, Y. Xiao, arXiv:0712.3119 [hep-th]

Cited in the paper.