Toshiro Sato

Stabilization of skyrmions via ϱ-mesons

Abstract It is shown that a skyrion can be stabilized by introducing ϱ-mesons into the chiral SU(2) L × SU(2) R lagrangian without higher-derivative terms like the Skyrme term. The ϱ-mesons are considered as dynamical gauge bosons associated with a hidden local symmetry of the non-linear sigma model. The lagrangian reduces to the Skyrme model in a limit of parameters. The Skyrmion mass M is found to be M = 1058 MeV when the parameters are fixed so as to satisfy the KSRF relation. It is also shown that a solition solution in a model with Ω-meson coupled with the baryonic current is a saddle-point solution.

New BPS solitons in 2+1 dimensional noncommutative CP1 model

Investigating the solitons in the non-commutative CP1 model, we have found a new set of BPS solitons which does not have counterparts in the commutative model.

Lost equivalence of nonlinear sigma and CP1 models on noncommutative space

We show that the equivalence of nonlinear sigma and CP1 models which is valid on the commutative space is broken on the noncommutative space. This conclusion is arrived at through investigation of new BPS solitons that do not exist in the commutative limit.

Induced Gauge Structure for the Zero Modes of Two-Dimensional Solitons

The induced gauge structure for the zero modes of two-dimensional solitons is considered bearing in mind the possibility of finding the origin of gauge fields in field theory.

Vortices as Instantons in Noncommutative Discrete Space: Use of Z(2) Coordinates

We show that vortices of Yang–Mills–Higgs model in R2 space can be regarded as instantons of Yang–Mills model in R2 × Z2 space. For this, we construct the noncommutative Z2 space by explicitly fixing the Z2 coordinates and then show, by using the Z2 coordinates, that BPS equation for the vortices can be considered as a self-dual equation. We also propose the possibility to rewrite the BPS equations for vortices as ADHM equations through the use of self-dual equation.

QUANTUM MECHANICS ON Sn AND MERON SOLUTION

A particle in quantum mechanics on manifolds couples to the induced topological gauge field that characterises the possible inequivalent quantizations. For instance, the gauge potential induced on

Q-Balls with topological charge

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BERRY CONNECTIONS AND INDUCED GAUGE FIELDS IN QUANTUM MECHANICS ON SPHERE

is that of a magnetic monopole located at the center of

INEQUIVALENT QUANTIZATION IN THE SKYRME MODEL

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A remark on spin and statistics of baby skyrmion

. We find that the gauge potential induced on