Improved Dirac quantization of a free particle

In the framework of Dirac quantization with second class constraints, a free particle moving on the surface of a $(d-1)-$dimensional sphere has an ambiguity in the energy spectrum due to the arbitrary shift of canonical momenta. We explicitly show that this spectrum obtained by the Dirac method can be consistent with the result of the Batalin-Fradkin-Tyutin formalism, which is an improved Dirac method, at the level of the first-class constraint by fixing the ambiguity, and discuss its physical consequences.Comment: 12 pages, revtex, no figures, minor corrections, title is change

Static properties of chiral models with SU(3) group structure

We investigate the strangeness in the framework of chiral models, such as the Skyrmion, MIT bag, chiral bag and superqualiton models, with SU(3) flavor group structure. We review the recent progresses in both the theoretical paradigm and experimental verification for strange hadron physics, and in particular the SAMPLE experiment results on the proton strange form factor. We study the color flavor locking phase in the color superconducting quark matter at high density, which might exist in the core of neutron stars, in the soliton-like superqualiton description. We explain the difficulties encountered in the application of the standard Dirac quantization to the Skyrmion and superqualiton models and treat the geometrical constraints of these soliton models properly to yield the relevant mass spectrum including the Weyl ordering corrections and the BRST symmetry structures.Comment: 112 pages, 6 figures, revise

Bosonization of QCD at high density

We describe the color-flavor locking (CFL) color superconductor in terms of bosonic variables, where the gaped quarks are realized as solitons, so-called superqualitons. We then show that the ground state of the CFL color superconductor is a $Q$-matter, which is the lowest energy state for a given fixed baryon number. From this $Q$-matter, we calculate the minimal energy to create a superqualiton and argue that it is twice of the Cooper gap. Upon quantizing the zero modes of superqualitons, we find superqualitons have the same quantum number as the gaped quarks and furthermore all the high spin states of superqualitons are absent in the effective bosonic description of the CFL color superconductor.Comment: 13 pages, revtex, no figure

Improved Hamilton-Jacobi Quantization for Nonholonomic Constrained System

The nonholonomic constrained system with second-class constraints is investigated using the Hamilton-Jacobi (HJ) quantization scheme to yield the complete equations of motion of the system. Although the integrability conditions in the HJ scheme are equivalent to the involutive relations for the first-class constrained system in the improved Dirac quantization method (DQM), one should elaborate the HJ scheme by using the improved DQM in order to obtain the first-class Hamiltonian and the corresponding effective Lagrangian having the BRST invariant nonholonomic constrained system.Comment: 13 pages, no figure

(2+1) dimensional black holes in warped product scheme

Exploiting a multiply warped product manifold scheme, we study the interior solutions of the Banados-Teitelboim-Zanelli black holes and the exterior solutions of the de Sitter black holes in the (2+1) dimensions.Comment: 13 page

Warped products and Reissner-Nordstrom metric

We study a multiply warped products manifold associated with the Reissner-Nordstrom metric to investigate the physical properties inside the black hole event horizons. It is shown that, different from the uncharged Schwarzschild metric, the Ricci curvature components inside the Reissner-Nordstrom black hole horizons are nonvanishing, while the Einstein scalar curvature vanishes even in the interior of the charged metric. Introducing a perfect fluid inside the Reissor-Nordstrom black hole, it is also shown that the charge plays effective roles of decreasing the mass-energy density and the pressure of the fluid inside the black hole.Comment: 7 page

Global Embeddings of Two-dimensional Dilatonic Black Holes

We obtain minimal (2+1) and (2+2) dimensional global flat embeddings of uncharged and charged dilatonic black holes in (1+1) dimensions, respectively. Moreover, we obtain the Hawking temperatures and the black hole ones of these dilatonic black holes. However, even though the minimal flat embedding structures are mathematically meaningful, through this minimal embeddings the proper entropies are shown to be unattainable, contrast to the cases of other black holes in (2+1) or much higher dimensions.Comment: 12 pages, no figure

Warped products and the Reissner-Nordstr\"{o}m-AdS black hole

We study a multiply warped product manifold associated with the Reissner-Nordstrom-AdS metric to investigate the physical properties inside the black hole event horizons. Our results include various limiting geometries of the RN, Schwarzschild--AdS and Schwarzschild space-times, through the successive truncation procedure of parameters in the original curved space.Comment: 10 page

In-Medium Effective Axial-Vector Coupling Constant

The axial-vector coupling constant in nuclear medium is systematically studied using chiral perturbation theory. For normal nuclear matter, the first non-trivial corrections are estimated based on the independent particle approximation taking into account nuclear correlations in nuclear medium. The one-pion-exchange (OPE) two-body interactions turn out to enhance the coupling constant by $\delta g_A/g_A\simeq (0.09 \sim 0.15)$. The role of the four-nucleon contact interaction, whose low-energy constants are yet to be determined, is analyzed in connection with the empirical quenching factor of $\delta g_A/g_A\simeq -0.2$ in the presence of the nuclear short-range correlation. Conventional approaches are discussed in the light of our result.Comment: Some errors in the References are fixed. LaTeX file with four eps files. 10 page

Consistent Dirac Quantization of SU(2) Skyrmion equivalent to the BFT Scheme

In the framework of Dirac quantization, the SU(2) Skyrmion is canonically quantized to yield the modified predictions of the static properties of baryons. We show that the energy spectrum of this Skyrmion obtained by the Dirac method with the suggestion of generalized momenta is consistent with the result of the Batalin-Fradkin-Tyutin formalism.Comment: 12 pages, no figure