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Renormalisation with SU(1, 1) coherent states on the LQC Hilbert space

Bodendorfer, Norbert ; Wuhrer, Dennis


We present an analytic computation of an explicit renormalisation group flow for cosmological states in loop quantumgravity. Akey ingredient in our analysis are Perelomov coherent states for the Lie group SU(1, 1) whose representation spaces are embedded into the standard loop quantum cosmology (LQC) Hilbert space. The SU(1, 1) group structure enters our analysis by considering a classical set of ...


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