Searcharxiv⌕ Search

arXiv subjects

M. N. Stoilov

Publications and source records attributed to M. N. Stoilov.

10 recordsLinked to original sources
arXiv2010

Fermions from the gauge models ground state

We investigate the quantization of pure U(1) and U(2) gauge theories in the vicinity of non-trivial ground state in four-dimensional Euclidean space-time. The main goal is to make the simultaneous consideration of many vacuums possible. It is shown that Fueter (quaternion) analytic and anti analytic functions can be used as vacuum's collective coordinates. As a result the ground state describes not a single quasi particle, or finite number of such particles, but a field. This field satisfies the massless Dirac equation. This is not a contradiction because it is known that massless spinors can be quantized either as fermions or as bosons. We choose to quantize the vacuum anomalously (Fermi--Dirac). The anomalous quantization of the gauge fields ground state allows non-trivial (anti) self-dual configurations to exist. The possible connection to the lepton sector of the Standard Model is discussed.

hep-th↗
arXiv2010

Semiclassical approach to the line shape

We extend the results of Bakalov D., B.Jeziorski, T.Korona, K.Szalewicz, E.Tchoukova, Phys. Rev. Lett. {\bf 84} (2000) 2350, on one-photon electric dipole transition line shift and broadening to the case of two-photon transitions. As an example we consider the laser induced transition in antiprotonic helium produced in helium gas target. The transition is between antiprotonic helium states $(n,l)=(33,32)$ and $(31,30)$. PACS 32.70.Jz, 34.20.Gj, 36.10.-k

physics.atom-ph↗
arXiv2009

U(2) instantons and leptons

Anomalous quantisation of instantons allows non-trivial (anti) self-dual configurations to exist for pure U(2) gauge theory in four-dimensional Euclidean space-time and to be used as ground state of the model. Six left fermions together with six right fermions and one complex scalar doublet describe the largest possible vacuum. This structure is just enough to represent the leptons and Higgs boson in the Standard Model.

hep-th↗
arXiv2007

On the structure of the constraint algebra for systems whose gauge transformations depend on higher order time derivatives of the gauge parameters

The dynamical systems invariant under gauge transformations with higher order time derivatives of the gauge parameter are considered from the Hamiltonian point of view. We investigate the consequences of the basic requirements that the constraints on the one hand and the Hamiltonian and constraints on the other hand form two closed algebras. It is demonstrated that these simple algebraic requirements lead to rigid relations in the constraint algebra.

hep-th↗
arXiv2005

Canonical approach to Lagrange multipliers

Lagrange multipliers are present in any gauge theory. They possess peculiar gauge transformation which is not generated by the constraints in the model as it is the case with the other variables. For rank one gauge theories we show how to alter the constraints so that they become generators of the local symmetry algebra in the space of Lagrange multipliers too. We also discuss the limitations on using different gauge conditions and construct the BRST charge corresponding to the newly found constraints.

hep-th↗