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Article overview
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Sakharov's induced gravity on the AdS background. SM scale as inverse mass parameter of Schwinger-DeWitt expansion | | Boris L. Altshuler
; | | Date: |
27 May 2015 | | Abstract: | One-loop quantum effective action W of scalar field ’living’ on the AdS
background of Randall-Sundrum model is defined by now popular way which
excludes bulk UV divergencies; thus induced Planck mass is given not by UV
regularization parameter like in Sakharov’s pioneer work but by the AdS
curvature scale. ’Auxiliary mass’ method proposed in the paper permits to build
the Schwinger-DeWitt expansion of action W. Inverse squared mass parameter of
this expansion is determined by the location of the ’visible’ brane of
RS-model. Obtained expression for the induced vacuum energy density coincides
with independently calculated VEV of the stress-energy tensor - in contrast
with earlier results of some authors. It is demonstrated that naive equating of
values of induced Planck mass and vacuum energy density to those ones of the
RS-model determines otherwise arbitrary constants of the model. The Principle
of Quantum Self-Consistency is proposed which unifies symbolically Sakharov’s
approach and bootstrap’s "no elementary particle/fields" basic idea. | | Source: | arXiv, 1505.7421 | | Services: | Forum | Review | PDF | Favorites | |
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