120951655
FLAT CONNECTIONS ON QUANTUM BUNDLES AND FRACTIONAL STATISTICS IN GEOMETRIC-QUANTIZATION
It is shown that in geometric quantization formulation, fractional statistics in a quantized system of N indistinguishable particles in two spatial dimensions arise from the nontrivial cohomology of the flat connection on the quantum line bundles as well as from the nontrivial homology of the configuration space. The propagator of a nonrelativistic interacting system with fractional statistics is derived.
121486574
Ordering problem in geometrical quantization
The operator ordering problem is investigated in the framework of geometrical quantization in the Schrodinger coordinate representation. It is shown that, for quantization of polarization-preserving classical observables pf(q), correct Hermitian quantum operators are derived; for quantization of polarization-unpreserving classical observables p2f(q), the BKS kernel method actually defines an ordering rule which is not Weyl's rule, but is the GCT-invariant rule proposed by DeWitt (1957).
121205461
Alternative formulations of first quantized covariant string action
Abstract In the covariant formulation of the first quantized action for a string propagating in Minkowski space it is natural to introduce a field (called dualbein) which is a worldsheet vector as well as a spacetime vector. The dualbein is a logical generalization of the zweibein. In terms of the dualbein field we construct new covariant actions for the bosonic strings and the superstrings. The casev of massless superparticles is also discussed.
118068874
Topological Defects in 3-d Euclidean Gravity
By making use of the complete decomposition of SO(3) spin connection, the topological defect in 3-dimensional Euclidean gravity is studied in detail. The topological structure of disclination is given as the combination of a monopole structure and a vortex structure. Furthermore, the Kac-Moody algebra generated by the monopole and vortex is discussed in three dimensional Chern-Simons theory.
118501315
The bethe-salpeter wave functions of the free fermion-antifermion system with O-+, 1--, 1+-, 0++ and 1++
SummaryWe derived the Bethe-Salpeter wave functions of a free fermion-antifermion system with JPC = 0-+, 1--, l+-, 0++ and 1++.RiassuntoSi derivano le funzioni d’onda di Betlie-Salpeter di un sistema libero fermione-antifermione con JPC = 0-+, 1--, 1+-, 0++ e 1++.РЕжУМЕМы ВыВОДИМ ВОлНОВыЕ Ф УНкцИИ БЕтЕ-сАлпИтЕР А Дль сВОБОДНОИ ФЕРМИОН-АНтИФЕРМИОН НОИ сИстЕМы с JPC= 0-+, 1--, 1+-, 0++ И 1++.
125027606
GENERAL-SOLUTIONS OF WESS-ZUMINO CONSISTENCY CONDITIONS FOR AXIAL-VECTOR CURRENT DIVERGENCE ANOMALY
The general solutions of the Wess-Zumino Consistency conditions for axial-vector current divergence anomaly are derived. The terms different from the Bardeen's anomaly in the solutions can be eliminated by using suitable counter terms which do not violate the vector-current conservation. Thus, the Wess-Zumino conditions can be considered to be necessary and sufficient for determining the structure of the minimal consistency axial anomaly up to a multiplicative constant factor.
118606470
Constraints on a phiCDM model from strong gravitational lensing and updated Hubble parameter measurements
We constrain the scalar field dark energy model with an inverse power-law potential, i.e., V()  −α (α > 0), from a set of recent cosmological observations by compiling an updated sample of Hubble parameter measurements including 30 independent data points. Our results show that the constraining power of the updated sample of H(z) data with the HST prior on H0 is stronger than those of the SCP Union2 and Union2.1 compilations. A recent sample of strong gravitational lensing systems is also adopted to confine the model even though the results are not significant. A joint analysis of the strong gravitational lensing data with the more restrictive updated Hubble parameter measurements and the Type Ia supernovae data from SCP Union2 indicates that the recent observations still can not distinguish whether dark energy is a time-independent cosmological constant or a time-varying dynamical component.
119280925
General treatment for dark energy thermodynamics
In this work we discuss a general approach for the dark energy thermodynamics considering a varying equation of state parameter of the type $\ensuremath{\omega}(a)={\ensuremath{\omega}}_{0}+F(a)$ and taking into account the role of a nonzero chemical potential $\ensuremath{\mu}$. We derive generalized expressions for the entropy density, chemical potential, and dark energy temperature $T$ and use the positiveness of the entropy to impose thermodynamic bounds on the equation of state parameter $\ensuremath{\omega}(a)$. In particular, we find that a phantomlike behavior $\ensuremath{\omega}(a)l\ensuremath{-}1$ is allowed only when the chemical potential is a negative quantity ($\ensuremath{\mu}l0$).