3,471 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
(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
Online Gaussian Process State-Space Model: Learning and Planning for Partially Observable Dynamical Systems
This paper proposes an online learning method of Gaussian process state-space
model (GP-SSM). GP-SSM is a probabilistic representation learning scheme that
represents unknown state transition and/or measurement models as Gaussian
processes (GPs). While the majority of prior literature on learning of GP-SSM
are focused on processing a given set of time series data, data may arrive and
accumulate sequentially over time in most dynamical systems. Storing all such
sequential data and updating the model over entire data incur large amount of
computational resources in space and time. To overcome this difficulty, we
propose a practical method, termed \textit{onlineGPSSM}, that incorporates
stochastic variational inference (VI) and online VI with novel formulation. The
proposed method mitigates the computational complexity without catastrophic
forgetting and also support adaptation to changes in a system and/or a real
environments. Furthermore, we present application of onlineGPSSM into the
reinforcement learning (RL) of partially observable dynamical systems by
integrating onlineGPSSM with Bayesian filtering and trajectory optimization
algorithms. Numerical examples are presented to demonstrate applicability of
the proposed method.Comment: This work has been submitted to the IEEE for possible publication.
Copyright may be transferred without notice, after which this version may no
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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
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
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
Adaptive Path-Integral Autoencoder: Representation Learning and Planning for Dynamical Systems
We present a representation learning algorithm that learns a low-dimensional
latent dynamical system from high-dimensional \textit{sequential} raw data,
e.g., video. The framework builds upon recent advances in amortized inference
methods that use both an inference network and a refinement procedure to output
samples from a variational distribution given an observation sequence, and
takes advantage of the duality between control and inference to approximately
solve the intractable inference problem using the path integral control
approach. The learned dynamical model can be used to predict and plan the
future states; we also present the efficient planning method that exploits the
learned low-dimensional latent dynamics. Numerical experiments show that the
proposed path-integral control based variational inference method leads to
tighter lower bounds in statistical model learning of sequential data. The
supplementary video: https://youtu.be/xCp35crUoLQComment: Neural Information Processing Systems (NeurIPS) 201
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