Null tetrad formulation of non-Abelian dyons

Bisht, P. S.; Negi, O. P. S.; Rajput, B. S.

doi:10.1007/bf00675023

Cited by 29 publications

(42 citation statements)

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“…S. Demir 14 expressed the gravitational field equations with the octonion. O. P. S. Negi, 15 P. S. Bisht, 16 B. S. Rajput, 17 H. Dehnen, 18 and S. Dangwal 19 etc adopted the quaternion and octonion to explore the dyon in the gravitational and electromagnetic fields. The paper focuses on the application of the complex quaternion to study the angular momentum, torque, and force etc in the electromagnetic and gravitational fields.…”

Section: Introductionmentioning

confidence: 99%

Angular momentum and torque described with the complex octonion

Weng

2014

AIP Advances

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The paper aims to adopt the complex octonion to formulate the angular momentum, torque, and force etc in the electromagnetic and gravitational fields. Applying the octonionic representation enables one single definition of angular momentum (or torque, force) to combine some physics contents, which were considered to be independent of each other in the past. J. C. Maxwell used simultaneously two methods, the vector terminology and quaternion analysis, to depict the electromagnetic theory. It motivates the paper to introduce the quaternion space into the field theory, describing the physical feature of electromagnetic and gravitational fields. The spaces of two fields can be chosen as the quaternion spaces, while the coordinate component of quaternion space is able to be the complex number. The quaternion space of electromagnetic field is independent of that of gravitational field. These two quaternion spaces may compose one octonion space. Contrarily, one octonion space can be separated into two subspaces, the quaternion space and S-quaternion space. In the quaternion space, it is able to infer the field potential, field strength, field source, angular momentum, torque, and force etc in the gravitational field. In the S-quaternion space, it is capable of deducing the field potential, field strength, field source, current continuity equation, and electric (or magnetic) dipolar moment etc in the electromagnetic field. The results reveal that the quaternion space is appropriate to describe the gravitational features, including the torque, force, and mass continuity equation etc. The S-quaternion space is proper to depict the electromagnetic features, including the dipolar moment and current continuity equation etc. In case the field strength is weak enough, the force and the continuity equation etc can be respectively reduced to that in the classical field theory.Comment: 11 pages, minor change

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Section: Introductionmentioning

confidence: 99%

Angular momentum and torque described with the complex octonion

Weng

2014

AIP Advances

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“…So, accordingly, we may develop the electrodynamics of a charged particle with the charge dual to the electric charge (i.e magnetic monopole). Applying the the electromagnetic duality to the Maxwell's equations, we may establish the connection between electric and magnetic charge (monopole) [16,17], in the same manner as an electric charge e interacts with electric field and the dual charge (magnetic monopole) g interacts with magnetic field, as,…”

Section: Dual Electrodynamicsmentioning

confidence: 99%

“…Since Dirac theory contains the controversial string variables, so it has been generalized [2,4,16,17] to the theory of the particles carrying simultaneously the electric and magnetic charges namely dyons. As such, GDM equations (38) are described as the field equations of dyons.…”

Section: Dual Symmetric Covariant Formulation Of Dyonsmentioning

confidence: 99%

“…The GDM equations (38) may directly be obtained on combining the Maxwell's equations (8) and their dual equations (14). So, the electric field − → E and magnetic field − → B in GDM equations (38) are respectively described as the generalized electromagnetic fields of dyons by combining equations (5) and (13) in terms of the components of two four vector potentials {A µ } and {C µ } [15,16,17] as…”

Section: Dual Symmetric Covariant Formulation Of Dyonsmentioning

confidence: 99%

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Gauge Formulation for Two Potential Theory of Dyons

Negi

Dehnen

2011

Int J Theor Phys

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Dual electrodynamics and corresponding Maxwell's equations ( in the presence of monopole only) are revisited from the symmetry of duality and gauge invariance. Accordingly, the manifestly covariant, dual symmetric and gauge invariant two potential theory of generalized electromagnetic fields of dyons has been developed consistently from U (1)×U (1) gauge symmetry. Corresponding field equations and equation of motion are derived from Lagrangian formulation adopted for U (1) × U (1) gauge symmetry for the justification of two four potentials of dyons.

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“…al. [7,8] constructed a self-consistent co-variant theory of generalized electromagnetic fields associated with dyons each carrying the generalized charge as complex quantity with its real and imaginary part as electric and magnetic constituents. Kravchenko and co-authers [9,10] discussed the Maxwell's equations in homogeneous media and accordingly developed [11] the quaternionic reformulation of the time-dependent Maxwell's equations along with the classical solution of a moving source i.e.…”

Section: Introductionmentioning

confidence: 99%