arXiv subjects

Young-Jai Park

Publications and source records attributed to Young-Jai Park.

At least 109 records · Page 6Linked to original sources

arXiv2001

Phase Synchronization with Type-II Intermittency in Chaotic Oscillators

We study the phase synchronization (PS) with type-II intermittency showing $\pm 2 π$ irregular phase jumping behavior before the PS transition occurs in a system of two coupled hyperchaotic Rössler oscillators. The behavior is understood as a stochastic hopping of an overdamped particle in a potential which has $2 π$-periodic minima. We characterize it as type-II intermittency with external noise through the return map analysis. In $ε_{t} < ε< ε_{c}$ (where $ε_{t}$ is the bifurcation point of type-II intermittency and $ε_{c}$ is the PS transition point in coupling strength parameter space), the average length of the time interval between two successive jumps follows $ \sim \exp(\midε_{t} - ε\mid^{2})$, which agrees well with the scaling law obtained from the Fokker-Planck equation.

chao-dyn↗

arXiv2001

Mechanism of synchronization in a random dynamical system

The mechanism of synchronization in the random Zaslavsky map is investigated. From the error dynamics of two particles, the structure of phase space was analyzed, and a transcritical bifurcation between a saddle and a stable fixed point was found. We have verified the structure of on-off intermittency in terms of a biased random walk. Furthermore, for the generalized case of the ensemble of particles, \emph{a modified definition} of the size of a snapshot attractor was exploited to establish the link with a random walk. As a result, the structure of on-off intermittency in the ensemble of particles was explicitly revealed near the transition.

nlin.CD↗

arXiv2001

Entropy of the Randall-Sundrum black brane world in the brick-wall method

We calculate the entropy of the brane-world black hole in the Randall-Sundrum(RS) model by using the brick-wall method. The modes along the extra dimension are semi-classically quantized on the extra dimension. The number of modes in the extra dimension is given as a simple form with the help of the RS mass relation, and then the entropy for the scalar modes in the five-dimensional spacetime is described by the two-dimensional area of the black brane world.

hep-th↗

arXiv2001

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.

hep-ph↗

arXiv2001

Higher dimensional flat embeddings of black strings in (2+1) dimensions

We obtain (3+1) and (3+2) dimensional global flat embeddings of (2+1) uncharged and charged black strings, respectively. In particular, the charged black string, which is the dual solution of the Banados-Teitelboim-Zanelli black holes, is shown to be embedded in the same global embedding Minkowski space structure as that of the (2+1) charged de Sitter black hole solution.

hep-th↗

arXiv2000

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.

quant-ph↗

arXiv2000

Flavor symmetry breaking effects on SU(3) Skyrmion

We study the massive SU(3) Skyrmion model to investigate the flavor symmetry breaking (FSB) effects on the static properties of the strange baryons in the framework of the rigid rotator quantization scheme combined with the improved Dirac quantization one. Both the chiral symmetry breaking pion mass and FSB kinetic terms are shown to improve $c$ the ratio of the strange-light to light-light interaction strengths and $\bar{c}$ that of the strange-strange to light-light.

hep-ph↗

arXiv2000

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.

hep-ph↗

arXiv2000

Reissner-Nordström-AdS black hole in the GEMS approach

We obtain a (5+2)-dimensional global flat embedding of the (3+1)-dimensional curved RN-AdS space. Our results include the various limiting cases of global embedding Minkowski space (GEMS) geometries of the RN, Schwarzschild-AdS in (5+2)-dimensions, Schwarzschild in (5+1)-dimensions, purely charged space, and universal covering space of AdS in (4+1)-dimensions, through the successive truncation procedure of parameters in the original curved space.

gr-qc↗

arXiv2000

BFT embedding of noncommutative D-brane system

We study noncommutative geometry in the framework of the Batalin-Fradkin-Tyutin(BFT) scheme, which converts second class constraint system into first class one. In an open string theory noncommutative geometry appears due to the mixed boundary conditions having second class constraints, which arise in string theory with $D$-branes under a constant Neveu-Schwarz $B$-field. Introduction of a new coordinate $y$ on $D$-brane through BFT analysis allows us to obtain the commutative geometry with the help of the first class constraints, and the resulting action corresponding to the first class Hamiltonian in the BFT Hamiltonian formalism has a new local symmetry.

hep-th↗

arXiv2000

BFT Hamiltonian embedding for SU(3) Skyrmion

We newly apply the Batalin, Fradkin and Tyutin (BFT) formalism to the SU(3) flavor Skyrmion model to investigate the Weyl ordering correction to the structure of the hyperfine splittings of strange baryons. On the other hand, the Berry phases and Casimir effects are also discussed.

hep-ph↗

arXiv2000

Global embeddings of scalar-tensor theories in (2+1)-dimensions

We obtain (3+3)- or (3+2)-dimensional global flat embeddings of four uncharged and charged scalar-tensor theories with the parameters B or L in the (2+1)-dimensions, which are the non-trivially modified versions of the Banados-Teitelboim-Zanelli (BTZ) black holes. The limiting cases B=0 or L=0 exactly are reduced to the Global Embedding Minkowski Space (GEMS) solution of the BTZ black holes.

gr-qc↗

arXiv2000

Higher dimensional flat embeddings of (2+1) dimensional black holes

We obtain the higher dimensional global flat embeddings of static, rotating, and charged BTZ black holes. On the other hand, we also study the similar higher dimensional flat embeddings of the (2+1) de Sitter black holes which are the counterparts of the anti-de Sitter BTZ black holes. As a result, the charged dS black hole is shown to be embedded in (3+2) GEMS, contrast to the charged BTZ one having (3+3) GEMS structure.

gr-qc↗

arXiv2000

Symmetries of SU(2) Skyrmion in Hamiltonian and Lagrangian approaches

We apply the Batalin-Fradkin-Tyutin (BFT) method to the SU(2) Skyrmion to study the full symmetry structure of the model at the first class Hamiltonian level. On the other hand, we also analyze the symmetry structure of the action having the WZ term, which corresponds to this Hamiltonian, in the framework of the Lagrangian approach. Furthermore, following the BFV formalism we derive the BRST invariant gauge fixed Lagrangian from the above extended action.

hep-ph↗

arXiv1999

Generalized BFT Formalism of Electroweak Theory in the Unitary Gauge

We systematically embed the SU(2)$\times$U(1) Higgs model in the unitary gauge into a fully gauge-invariant theory by following the generalized BFT formalism. We also suggest a novel path to get a first-class Lagrangian directly from the original second-class one using the BFT fields.

hep-th↗

arXiv1999

Improved BFT quantization of O(3) nonlinear sigma model

We newly apply the improved Batalin-Fradkin-Tyutin(BFT) Hamiltonian method to the O(3) nonlinear sigma model, and directly obtain the compact form of nontrivial first class Hamiltonian by introducing the BFT physical fields. Furthermore, following the BFV formalism, we derive the BRST invariant gauge fixed Lagrangian through the standard path-integral procedure. Finally, by introducing collective coordinates, we also study a semi-classical quantization of soliton background to conclude that the spectrum of zero modes are unchanged through the BFT procedure.

hep-th↗

arXiv1999

Consistent Superalgebraic Truncations from D=5, N=5 Supergravity

We study a novel five-dimensional, {\it N}=5 supergravity in the context of Lie superalgebra SU(5/2). The possible successive superalgebraic truncations from {\it N}=5 theory to the lower supersymmetric {\it N}=4,3,2, and 1 supergravity theories are systematically analyzed as a sub-superalgebraic chain of SU(5/2)$\supset$ SU(4/2) $\supset$ SU(3/2) $\supset$ SU(2/2) $\supset$ SU(1/2) by using the Kac-Dynkin weight techniques.

hep-th↗

arXiv1999

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.

hep-th↗