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Towards a high-energy theory for the Higgs phase of gravity

Graesser, Michael L. and Low, Ian and Wise, Mark B. (2005) Towards a high-energy theory for the Higgs phase of gravity. Physical Review D, 72 (11). Art. No. 115016. ISSN 2470-0010.

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Spontaneous Lorentz violation due to a time-dependent expectation value for a massless scalar has been suggested as a method for dynamically generating dark energy. A natural candidate for the scalar is a Goldstone boson arising from the spontaneous breaking of a U(1) symmetry. We investigate the low-energy effective action for such a Goldstone boson in a general class of models involving only scalars, proving that if the scalars have standard kinetic terms then at the classical level the effective action does not have the required features for spontaneous Lorentz violation to occur asymptotically (t-->[infinity]) in an expanding Friedman-Robertson-Walker universe. Then we study the large N limit of a renormalizable field theory with a complex scalar coupled to massive fermions. In this model an effective action for the Goldstone boson with the properties required for spontaneous Lorentz violation can be generated. Although the model has shortcomings, we feel it represents progress towards finding a high energy completion for the Higgs phase of gravity.

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Additional Information:©2005 The American Physical Society (Received 20 October 2005; published 28 December 2005) This work was supported by grants from the Department of Energy under Grant Nos. DE-FG02-90ER40542 at IAS and DE-FG03-92ER40701 at Caltech. I. L. would like to thank the theory group at Caltech for hospitality during the completion of this work.
Subject Keywords:unified field theories; gravitation; spontaneous symmetry breaking; dark energy; cosmology; renormalisation; unitary symmetry; Goldstone bosons
Issue or Number:11
Record Number:CaltechAUTHORS:GRAprd05
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2165
Deposited By: Archive Administrator
Deposited On:13 Mar 2006
Last Modified:02 Oct 2019 22:50

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