TY - JOUR

T1 - Wormholes and the cosmological constant

AU - Klebanov, Igor

AU - Susskind, Leonard

AU - Banks, Tom

N1 - Funding Information:
The cosmological constant plays two roles in physics. The first role is that of a coupling constant, similar to other mass and coupling parameters in microscopic physics. Its origin is likely to include short distance physics including wavelengths down to the Planck scale. The other role, as its name suggests, is that of a macroscopic parameter controlling the large scale behaviour of the universe. From the microscopic point of view we have no explanation of why the cosmological constant vanishes. From the cosmic viewpoint it vanishes so that the universe can be big and flat, as observed. Thus, it seems a miracle that microscopic physics should * Work supported by the Department of Energy, contract DE-AC03-76SF00515. ** Work supported by NSF PHY 812280.

PY - 1989/5/8

Y1 - 1989/5/8

N2 - We review Coleman's wormhole mechanism for the vanishing of the cosmological constant. We show that in a minisuperspace model wormhole-connected universes dominate the path integral. We also provide evidence that the euclidean path integral over geometries with spherical topology is unstable with respect to formation of infinitely many wormhole-connected 4-spheres. Consistency is restored by summing over all topologies, which leads to Coleman's result. Coleman's argument for determination of other parameters is reviewed and applied to the mass of the pion. A discouraging result is found that the pion mass is driven to zero. We also consider qualitatively the implications of the wormhole theory for cosmology. We argue that a small number of universes containing matter and energy may exist in contact with infinitely many cold and empty universe. Contact with the cold universe insures that the cosmological constant in the warm ones in zero.

AB - We review Coleman's wormhole mechanism for the vanishing of the cosmological constant. We show that in a minisuperspace model wormhole-connected universes dominate the path integral. We also provide evidence that the euclidean path integral over geometries with spherical topology is unstable with respect to formation of infinitely many wormhole-connected 4-spheres. Consistency is restored by summing over all topologies, which leads to Coleman's result. Coleman's argument for determination of other parameters is reviewed and applied to the mass of the pion. A discouraging result is found that the pion mass is driven to zero. We also consider qualitatively the implications of the wormhole theory for cosmology. We argue that a small number of universes containing matter and energy may exist in contact with infinitely many cold and empty universe. Contact with the cold universe insures that the cosmological constant in the warm ones in zero.

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U2 - 10.1016/0550-3213(89)90538-5

DO - 10.1016/0550-3213(89)90538-5

M3 - Article

AN - SCOPUS:4243656120

SN - 0550-3213

VL - 317

SP - 665

EP - 692

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -