Strongly Correlated Flat-Band Systems, Renormalization Group Flows from Holography, Large-N Collective Fields And Holography, Permeable Conformal Walls And Holography, Ads/CFT Correspondence, Chaotic Fast Scrambling At Black Holes, Higgs Bosons In A Nonmi

K.N.P. Kumar, C.J. Prabhakara, S.K. Narasimha Murthy, B.J. Gireesha

Abstract


Since any non-trivial infrared dynamics in strongly correlated electron matter must be controlled by a critical fixed point, we argue that the form of the single-particle propagator can be deduced simply by imposing scale invariance. As a consequence, the unparticle picture proposed by Georgi\cite {georgi} is the natural candidate to describe such dynamics. Unparticle stuff is scale-invariant matter with no particular mass. Scale invariance dictates that the propagator has an algebraic form which can admit zeros and hence is a candidate to explain the ubiquitous pseudogap state of the cuprates. The non-perturbative electronic state formed out of unparticles we refer to as an un-Fermi liquid. Philip W. Phillips, Brandon W. Langley, Jimmy A. Hutasoit show that the underlying action of the continuous mass formulation of unparticles can be recast exactly as an action in anti de Sitter space. They find that this mapping fixes the scaling dimension of the unparticle to be dU=d/2+d2+4...............

The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-354010-358233.pdf



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