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- W2520072136 abstract "We show that Friedmann-Robertson-Walker geometry with a flat spatial section in quantized (Wheeler deWitt quantization) Brans-Dicke (BD) theory reveals a rich phase structure owing to anomalous breaking of a classical symmetry, which maps the scale factor $aensuremath{mapsto}ensuremath{lambda}a$ for some constant $ensuremath{lambda}$. In the weak coupling ($ensuremath{omega}$) limit, the theory goes from a symmetry preserving phase to a broken phase. The existence of a phase boundary is an obstruction to another classical symmetry [see V. Faraoni, Phys. Rev. D 59, 084021 (1999).] (which relates two BD theories with different couplings) admitted by BD theory with scale invariant matter content, i.e., ${{T}^{ensuremath{mu}}}_{ensuremath{mu}}=0$. Classically, this prohibits the BD theory from reducing to general relativity (GR) for scale invariant matter content. We show that a strong coupling limit of both BD and GR preserves the symmetry involving the scale factor. We also show that with scale invariant matter content (radiation, i.e., $P=frac{1}{3}ensuremath{rho}$), the quantized BD theory does reduce to GR as $ensuremath{omega}ensuremath{rightarrow}ensuremath{infty}$, which is in sharp contrast to classical behavior. This is a first known illustration of a scenario where quantized BD theory provides an example of anomalous symmetry breaking and resulting binary phase structure. We make a conjecture regarding the strong coupling limit of the BD theory in a generic scenario." @default.
- W2520072136 created "2016-09-23" @default.
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- W2520072136 date "2016-10-14" @default.
- W2520072136 modified "2023-09-28" @default.
- W2520072136 title "Quantized Brans-Dicke theory: Phase transition, strong coupling limit, and general relativity" @default.
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- W2520072136 doi "https://doi.org/10.1103/physrevd.94.084023" @default.
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