Covariant formalism for a relativistic string in a constant homogeneous electromagnetic field

1977 ◽  
Vol 32 (3) ◽  
pp. 778-783
Author(s):  
B. M. Barbashov ◽  
V. V. Nesterenko ◽  
A. M. Chervyakov
Keyword(s):  
Electromagnetic Field ◽  
Relativistic String ◽  
Covariant Formalism ◽  
Homogeneous Electromagnetic Field

Relativistic string in a constant homogeneous electromagnetic field

1977 ◽  
Vol 32 (2) ◽  
pp. 672-680 ◽  
Author(s):  
B. M. Barbashov ◽  
A. L. Koshkarov ◽  
V. V. Nesterenko
Keyword(s):  
Electromagnetic Field ◽  
Relativistic String ◽  
Homogeneous Electromagnetic Field

scholarly journals The Dirac Electron Consistent with Proper Gravitational and Electromagnetic Field of the Kerr–Newman Solution

Galaxies ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 18
Author(s):  
Alexander Burinskii
Keyword(s):  
Electromagnetic Field ◽  
Quantum Theory ◽  
Gravitational Field ◽  
Dirac Equation ◽  
Higgs Field ◽  
Vacuum State ◽  
Relativistic String ◽  
Dirac Equations ◽  
Dirac Electron ◽  
Relativistic Scattering

The Dirac electron is considered as a particle-like solution consistent with its own Kerr–Newman (KN) gravitational field. In our previous works we considered the regularized by López KN solution as a bag-like soliton model formed from the Higgs field in a supersymmetric vacuum state. This bag takes the shape of a thin superconducting disk coupled with circular string placed along its perimeter. Using the unique features of the Kerr–Schild coordinate system, which linearizes Dirac equation in KN space, we obtain the solution of the Dirac equations consistent with the KN gravitational and electromagnetic field, and show that the corresponding solution takes the form of a massless relativistic string. Obvious parallelism with Heisenberg and Schrödinger pictures of quantum theory explains remarkable features of the electron in its interaction with gravity and in the relativistic scattering processes.

scholarly journals MASSIVE FIELDS WITH ARBITRARY INTEGER SPIN IN HOMOGENEOUS ELECTROMAGNETIC FIELD

2000 ◽  
Vol 15 (04) ◽  
pp. 535-552 ◽  
Author(s):  
S. M. KLISHEVICH
Keyword(s):  
Electromagnetic Field ◽  
Massive Particle ◽  
Tensor Fields ◽  
Arbitrary Integer ◽  
Integer Spin ◽  
Constant Electromagnetic Field ◽  
Electromagnetic Field Strength ◽  
Spin Fields ◽  
Homogeneous Electromagnetic Field ◽  
Dimensionality Of Space

We study the interaction of gauge fields of arbitrary integer spins with the constant electromagnetic field. We reduce the problem of obtaining the gauge-invariant Lagrangian of integer spin fields in the external field to purely algebraic problem of finding a set of operators with certain features using the representation of the high-spin fields in the form of vectors in a pseudo-Hilbert space. We consider such a construction up to the second order in the electromagnetic field strength and also present an explicit form of interaction Lagrangian for a massive particle of spin s in terms of symmetrical tensor fields in linear approximation. The result obtained does not depend on dimensionality of space–time.

scholarly journals The Dirac Electron Consistent with Proper Gravitational and Electromagnetic Field of the Kerr-Newman Solution

2021 ◽  
Author(s):  
Alexander Burinskii
Keyword(s):  
Electromagnetic Field ◽  
Dirac Equation ◽  
String Tension ◽  
Thin Disk ◽  
Relativistic String ◽  
Electron Model ◽  
Frame Dragging ◽  
Dirac Electron ◽  
Unique Shape ◽  
Relativistic Scattering

We consider the Dirac electron as a nonperturbative particle-like solution consistent with its own Kerr-Newman (KN) gravitational and electromagnetic field. We develop the earlier models of the KN electron regularized by Israel and López, and consider the non-perturbative electron model as a bag model formed by Higgs mechanism of symmetry breaking. The López regularization determines the unique shape of the electron in the form of a thin disk with a Compton radius reduced by 4π. In our model this disk is coupled with a closed circular string which is placed on the border of the disk and creates the caused by gravitation frame-dragging string tension produced by the vector potential of the Wilson loop. Using remarkable features of the Kerr-Schild coordinate system, which linearizes the Dirac equation, we obtain solutions of the Dirac equation consistent with the KN gravitational and electromagnetic field, and show that this solution takes the form of a massless relativistic string. Parallelism of this model with quantum representations in Heisenberg and Schrodinger pictures explains remarkable properties of the stringy electron model in the relativistic scattering processes.

scholarly journals The Dirac electron consistent with proper gravitational and electromagnetic field of the Kerr-Newman solution

2020 ◽  
Author(s):  
Александр Буринский
Keyword(s):  
Electromagnetic Field ◽  
Quantum Theory ◽  
Gravitational Field ◽  
Exact Solutions ◽  
Coordinate System ◽  
Relativistic String ◽  
Dirac Equations ◽  
Dirac Electron ◽  
Relativistic Scattering

We consider the Dirac electron as a non-perturbative particle-like solution consistent with its own Kerr-Newman (KN) gravitational field. In our previous works we regularized the model of electron suggested by Israel and Lopez on the base of KN solution. Our model of electron was shaped similar to the bag models - the thin superconducting disk coupled with circular string placed along its perimeter. The specific feature of the KN string was its orientifold (two-faced) structure. In this work we use unique features of the Kerr-Schild coordinate system, which allows us to linearize Dirac equations in KN background, and obtain the exact solutions of the Dirac equations consistent with the KN gravitational and electromagnetic field. We show that the corresponding solution take the form of a massless relativistic string. Strong parallelism with quantum theory, which appears by our treatment, explains remarkable properties of the electron in relativistic scattering processes, which allow us to consider it as a point-like particle.

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