  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 theory goes from a
symmetry preserving phase to a broken phase. The existence of phase boundary is
an obstruction to another classical symmetry [arXiv:gr-qc/9902083] (which
relates two BD theory with different coupling) admitted by BD theory with scale
invariant matter content i.e $T^{\mu}{}_{\mu}=0$. Classically, this prohibits
the BD theory to reduce to General Relativity (GR) for scale invariant matter
content. We show that strong coupling limit of BD and GR both preserves the
symmetry involving scale factor. We also show that with a scale invariant
matter content (radiation i.e $P=\frac{1}{3}\rho$), the quantized BD theory
does reduce to GR as $\omega\rightarrow\infty$, which is in sharp contrast to
classical behavior. This is a first known illustration of a scenario, where
quantized BD theory provides example of anomalous symmetry breaking and
resulting binary phase structure. We make a conjecture regarding strong
coupling limit of BD theory in generic scenario.

General Relativity and Quantum Cosmology;High Energy Physics - Theory