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Hall and optical conductivity experiments on the cuprates indicate that thelow-energy fermionic degrees of freedom in a doped Mott insulator posess acomponent that is dynamcially generated and hence determined by thetemperature. We show explicitly how the spectrum in the lower Hubbard bandshould be partitioned to describe such dynamically generated charge degrees offreedom and corroborate this picture with the results from the exact low-energytheory of the Hubbard model. A consequence of such dynamics is that the Landauone-to-one correspondence between bare electrons and the effective fermionicdegrees of freedom at low energies breaks down explicitly. This state ofaffairs obtains because the total hole number is not conserved as it contains adynamical contribution. We propose that any experimental probe that couples tothe low-energy dynamics of a doped Mott insulator, quantum oscillationexperiments included, should be interpreted in terms of the total dynamicallygenerated hole number rather than the bare value.

Non-conservation of Fermionic Degrees of Freedom at Low-energy in Doped Mott Insulators