267 research outputs found
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 -matter, which is the lowest energy state for a given
fixed baryon number. From this -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
(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
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
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
GEMS embeddings and freely falling temperatures of Schwarzschild(-AdS) black holes in massive gravity
We globally embed (3+1)-dimensional Schwarzschild and Schwarzschild-AdS black
holes in massive gravity into (5+2)-dimensional flat spacetimes. Making use of
embedding coordinates, we directly obtain the generalized Hawking, Unruh and
freely falling temperatures in a Schwarzschild and Schwarzschild-AdS black hole
due to massive graviton effects.Comment: 15 pages, 7 figures, title changed, references added, version to
appear in PLB. arXiv admin note: text overlap with arXiv:1812.0037
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 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
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
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
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