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- Unparticles and Fermi Arcs in the Cuprates

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One of the open problems in strong correlation physics is whether or not

Luttinger's theorem works for doped Mott insulators, particularly in

the pseudo gap regime where the pole-like excitations form only a Fermi

arc. I will begin this talk by using this theorem to count particles and

show that it fails in general for the Mott state. The failure stems

from the divergent self energy that underlies Mottness. When such a

divergence is present, charged degrees of freedom are present that have

no particle interpretation. I will argue that such excitations are

governed by a non-trivial IR fixed point and the propagator of which is

of the unparticle form proposed by Georgi. I will show how a gravity

dual can be used to determine the scaling dimension of the unparticle

propagator. I will close by elucidating a possible superconducting

instability of unparticles and demonstrate that unparticle stuff is

likely to display fractional statistics in the dimensionalities of

interest for strongly correlated electron matter. Time permitting, an

underlying theory of the strongly coupled fixed point will be outlined.

©2012 Perimeter Institute for Theoretical Physics