Fluctuations in the Ginzburg-Landau Theory of Dark Energy: internal (in-)consistencies in PLANCK data set

In this work, predictions of the Ginzburg-Landau theory of dark energy (GLT) for CMB lensing are studied. We find that the time and scale dependence of the dark energy fluctuations in this semi-phenomenological model is favored by data in several ways. Firstly, unlike $\mathrm{\Lambda }$CDM, $\mathrm{\ell }\le 801$ and $\mathrm{\ell }>801$ ranges of the CMB angular power spectrum are consistent in this framework. Secondly, the lensing amplitude $A_L$ is completely consistent with unity when GLT is confronted with CMB data, even without including CMB lensing data. Therefore lensing anomaly is absent in this model. Furthermore, the background evolution of dark energy in this model is able to reconcile the $H_0$ inferred from CMB with that of directly measured through observing nearby standard candles.