4 papers
Quantum mechanics on Riemannian manifold in Schwinger's quantization approach IV
N. M. Chepilko, A. V. Romanenko
In this paper we extend Schwinger's quantization approach to the case of a supermanifold considered as a coset space of the Poincare group by the Lorentz group. In terms of coordin…
On validity of perturbative quantization of the breathing mode in the Skyrme model
A. P. Kostyuk, A. P. Kobushkin, N. M. Chepilko +1
We present a detailed discussion of the breathing mode quantization in the Skyrme model and demonstrate that the chiral angle of the hedgehog soliton is strongly affected by the br…
Quantum solitons of the nonlinear sigma-model with broken chiral symmetry
A. P. Kostyuk, A. P. Kobushkin, N. M. Chepilko +1
It is proved that the quantum-mechanical consideration of global breathing of a hedgehog-like field configuration leads to the dynamically stable soliton solutions in the nonlinear…
Quantum Solitons with Cylindrical Symmetry
N. Chepilko, A. Kobushkin, A. Syamtomov
Soliton solutions with cylindrical symmetry are investigated within the nonlinear -model disregarding the Skyrme-stabilization term. The solitons are stabilized by quantization…