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Phys. Rev. Lett. 82, 4971–4974 (1999)

Effective Field Theory, Black Holes, and the Cosmological Constant

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Andrew G. Cohen1,*, David B. Kaplan2,†, and Ann E. Nelson3,‡
1Department of Physics, Boston University, Boston, Massachusetts 02215
2Institute for Nuclear Theory, 1550, University of Washington, Seattle, Washington 98195-1550
3Department of Physics 1560, University of Washington, Seattle, Washington 98195-1560

Received 25 March 1998; revised 31 March 1999; published in the issue dated 21 June 1999

Bekenstein has proposed the bound SπMP2L2 on the total entropy S in a volume L3. This nonextensive scaling suggests that quantum field theory breaks down in large volume. To reconcile this breakdown with the success of local quantum field theory in describing observed particle phenomenology, we propose a relationship between UV and IR cutoffs such that an effective field theory should be a good description of nature. We discuss implications for the cosmological constant problem. We find a limitation on the accuracy which can be achieved by conventional effective field theory.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.4971
DOI:
10.1103/PhysRevLett.82.4971
PACS:
11.10.Cd, 04.70.Dy, 13.40.Em, 98.80.Cq

*Email address: cohen@andy.bu.edu

Email address: dbkaplan@phys.washington.edu

Email address: anelson@phys.washington.edu