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Phys. Rev. D 39, 452–461 (1989)

Properties of the wormhole calculus

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Frank S. Accetta and Alan Chodos
Center for Theoretical Physics, Department of Physics, Yale University, New Haven, Connecticut 06520

Fred Cooper
Department of Physics, Brown University, Providence, Rhode Island 02912
Theory Division, Los Alamos National Laboratory, Los Alamos, New Mexico 875 45

Bin Shao
Center for Theoretical Physics, Department of Physics, Yale University, New Haven, Connecticut 06520

Received 25 August 1988; published in the issue dated 15 January 1989

We adapt the rules, used by Coleman in the context of Euclidean gravity to show that the cosmological constant vanishes, to the simpler case of a scalar field theory. We compute one- and two-point functions in a variety of examples and in various approximations. We discover cases where wormholes make first-order phase transitions disappear, but permit second-order transitions. We find a peculiar propagator for a scalar field coupled quadratically to wormholes in the Hartree-Fock approximation. We discuss various ways to deal with the divergences caused by arbitrarily large numbers of subuniverses.

© 1989 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.39.452
DOI:
10.1103/PhysRevD.39.452
PACS:
04.60.+n, 12.25.+e, 98.80.Dr