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Quantized Brans-Dicke theory: Phase transition, strong coupling limit, and general relativity

Quantized Brans-Dicke theory: Phase transition, strong coupling limit, and general relativity

We show that Friedmann-Robertson-Walker (FRW) geometry with 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 $a\mapsto\lambda a$ for some constant $\lambda$. In the weak coupling ($\omega$) limit, the …