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).
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.
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.
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++.
15588368
Geometric Quantization of free fields in space of motions
Via K$\ddot{a}$hker polarization we geometrically quantize free fields in the spaces of motions, namely the space of solutions of equations of motion. We obtain the correct results just as that given by the canonical quantization. Since we follow the method of covariant symplectic current proposed by Crnkovic, Witten and Zuckerman et al, the canonical commutator we obtained are naturally invariant under proper Lorentz transformation and the discrete parity and time transverse transformations, as well as the equations of motion.
124965502
The Geometrical Structure of Hamiltonian Systems with the Second Class Constraints
The geometrical structure of a classical Hamiltonian system with Dirac second class constraints is examined. It is shown that for the real physical system, as the submanifold of the original manifold, we may redefine the symplectic form and/or Hamiltonian vector fields to get consistent geometrical descriptions.
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.
119241739
Cosmic equation of state from combined angular diameter distances: Does the tension with luminosity distances exist?
Using a relatively complete observational data concerning four angular diameter distance (ADD) measurements and %synthetic combined SN+GRB observations representing current luminosity distance (LD) data, this paper investigates the %tension between compatibility of these two cosmological distances considering three classes of dark energy equation of state (EoS) reconstruction. In particular, we use strongly gravitationally lensed systems from various large systematic gravitational lens surveys and galaxy clusters, which yield the Hubble constant independent ratio between two angular diameter distances $D_{ls}/D_s$ data. Our results demonstrate that, with more general categories of standard ruler data, ADD and LD data are compatible at $1\sigma$ level. Secondly, we note that consistency between ADD and LD data %are blind is maintained irrespective of the EoS parameterizations: there is a good match between the universally explored CPL model and other formulations of cosmic equation of state. Especially for the truncated GEoS model with $\beta=-2$, the conclusions obtained with ADD and LD are almost the same. Finally, statistical analysis of generalized dark energy equation of state performed on four classes of ADD data provides stringent constraints on the EoS parameters $w_0$, $w_{\beta}$ and $\beta$, which suggest that dark energy was a subdominant component at early times. Moreover, the GEoS parametrization with $\beta\simeq 1$ seems to be a more favorable two-parameter model to characterize the cosmic equation of state, because the combined angular diameter distance data (SGL+CBF+BAO+WMAP9) provide the best-fit value $\beta=0.751^{+0.465}_{-0.480}$.