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Tibetan Scholars in the Yuan Court of China: Influx of the Mongols in China
Path integral action and exact renormalization group dualities for quantum systems in noncommutative plane
We employ the path integral approach developed in [29] to discuss the
(generalized) harmonic oscillator in a noncommutative plane. The action for
this system is derived in the coherent state basis with additional degrees of
freedom. From this the action in the coherent state basis without any
additional degrees of freedom is obtained. This gives the ground state spectrum
of the system. We then employ the exact renormalization group approach to show
that an equivalence can be constructed between this (noncommutative) system and
a commutative system.Comment: 8 pages Latex, revisions made, equations corrected, To appear in
Euro.Phys.Lett. arXiv admin note: text overlap with arXiv:1402.615
Analytic study of properties of holographic superconductors away from the probe limit
In this paper, based on the Sturm-Liouville eigenvalue approach, we
analytically investigate the properties of holographic superconductors in the
background of pure Einstein and Gauss-Bonnet gravity taking into account the
backreaction of the spacetime. Higher value of the backreaction parameter
results in a harder condensation to form in both cases. The analytical results
obtained are found to be in good agreement with the existing numerical results.Comment: 9 pages Late
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