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Fuzzy Geometry via the Spinor Bundle, with Applications to Holographic Space-time and Matrix Theory
Fuzzy Geometry the Spinor Bundle Holographic Space-time Matrix Theory
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2011/7/27
Abstract: We present a new framework for defining fuzzy approximations to geometry in terms of a cutoff on the spectrum of the Dirac operator, and a generalization of it that we call the Dirac-Flux op...
Wilson Fermions, Random Matrix Theory and the Aoki Phase
Wilson Fermions Random Matrix Theory the Aoki Phase
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2011/1/7
The QCD partition function for the Wilson Dirac operator, $D_W$, at nonzero lattice spacing $a$ can be expressed in terms of a chiral Lagrangian as a systematic expansion in the quark mass, the moment...
Development in the Scattering Matrix Theory: From Spin-Orbit-Coupling Affected Shot Noise to Quantum Pumping
Scattering Matrix Theory Spin-Orbit-Coupling Affected Shot Noise Quantum Pumping
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2010/11/23
The review chapter starts by a pedagogical introduction to the general concept of the scattering theory: from the fundamental wave-function picture to the second-quantization language, with the aim to...