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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer-Verlag

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10.1016/0009-2541(83)90049-9

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1029-8479

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Scalar threepoint functions in a CDL background

Authors: Daniel S Park
Publish Date: 2012/01/31
Volume: 2012, Issue: 1, Pages: 165-
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Abstract

Motivated by the FRWCFT proposal by Freivogel Sekino Susskind and Yeh we compute the threepoint function of a scalar field in a ColemanDe Luccia instanton background We first compute the threepoint function of the scalar field making only very mild assumptions about the scalar potential and the instanton background We obtain the threepoint function for points in the FRW patch of the CDL instanton and take two interesting limits the limit where the three points are near the boundary of the hyperbolic slices of the FRW patch and the limit where the three points lie on the past lightcone of the FRW patch We expand the past lightcone threepoint function in spherical harmonics We show that the near boundary limit expansion of the threepoint function of a massless scalar field exhibits conformal structure compatible with FRWCFT when the FRW patch is flat We also compute the threepoint function when the scalar is massive and explain the obstacles to generalizing the conjectured fieldoperator correspondence of massless fields to massive fields

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