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Ya. M. Shnir

Publications and source records attributed to Ya. M. Shnir.

10 recordsLinked to original sources
arXiv2008

More about the new non-selfdual axially symmetric SU(2) calorons

We describe the recently found non-selfdual axially symmetric caloron solutions of SU(2) gluodynamics with trivial holonomy. We present the local Polyakov loop together with the action and topological charge density. Different from the well-known KvBLL calorons, the calorons considered here are composed out of pseudoparticle constituents carrying integer topological charge. The loci of Polyakov loop L = -1 correspond to the loci of Higgs field zeroes for corresponding solutions of the Yang-Mills Higgs system. For certain parameters pointlike monopole pairs turn into rings.

hep-th↗
arXiv2007

Self-dual and non-self dual axially symmetric caloron solutions in SU(2) Yang-Mills theory

New static regular axially symmetric solutions of SU(2) Euclidean Yang-Mills theory are constructed numerically. They represent calorons having trivial Polyakov loop at spacial infinity. The solutions are labeled by two integers $m,n$. It is shown that besides known, charge one self-dual periodic instanton solution, there are other non-self dual solutions of the Yang-Mills equations naturally composed out of pseudoparticle constituents.

hep-th↗
arXiv1998

Forced Topological Nontrivial Field Configurations

The motion of a one-dimensional kink and its energy losses are considered as a model of interaction of nontrivial topological field configurations with external fields. The approach is based on the calculation of the zero modes excitation probability in the external field. We study in the same way the interaction of the t'Hooft-Polyakov monopole with weak external fields. The basic idea is to treat the excitation of a monopole zero mode as the monopole displacement. The excitation is found perturbatively. As an example we consider the interaction of the t'Hooft-Polyakov monopole with an external uniform magnetic field.

hep-th↗
arXiv1997

Forced kink of $λϕ^4$ mode

The motion of a one-dimensional kink and its energy losses are considered as a model of interaction of nontrivial topological field configurations with external fields.

hep-th↗
arXiv1997

The Effective Lagrangian of QED with a Magnetic Charge and Dyon Mass Bounds

The effective Lagrangian of QED coupled to dyons is calculated. The resulting generalization of the Euler-Heisenberg Lagrangian contains non-linear P and T noninvariant terms corresponding to the virtual pair creation of dyons. The corresponding P and T violating part of the matrix element for light-by-light scattering is considered. This effect induces an electric dipole moment for the electron, of order M^{-2}, where M is the dyon mass. The current limit on the electric dipole moment of the electron yields the lower dyon mass bound M > 1 TeV.

hep-ph↗
arXiv1997

Interaction of Non-Abelian Monopole with External Field

The interaction of a nontrivial topological field configuration with the external fields is considered. The approach is based on the calculation of the zero modes excitation probability. We consider the interaction of the t'Hooft-Polyakov monopole with an external weak uniform magnetic field and the field of another monopole.

hep-th↗
arXiv1996

Dyon mass bounds from electric dipole moments

Dyon loops give a contribution to the matrix element for light-by-light scattering that violates parity and time-reversal symmetry. This effect induces an electric dipole moment for the electron, of order $M^{-2}$, where $M$ is the dyon mass. The current limit on the electric dipole moment of the electron yields the lower mass bound $M>{\cal O}(1)~\mbox{TeV}$.

hep-ph↗
arXiv1996

Interaction of a slow monopole with a hydrogen atom

The electric dipole moment of the hydrogen-like atom induced by a monopole moving outside the electron shell is calculated. The correction to the energy of the ground state of the hydrogen atom due to this interaction is calculated.

atom-ph↗
arXiv1996

The Effective Lagrangian of QED with a Magnetic Charge

The effective Lagrangian of QED coupled to dyons is calculated. The resulting generalization of the Euler-Heisenberg Lagrangian contains non-linear $P$- and $T$-nonivariant (but $C$ invariant) terms corresponding to the virtual pair creation of dyons. As examples, the amplitudes for photon splitting and photon coalescence are calculated.

hep-th↗