Gauge Formulation for Two Potential Theory of Dyons

Negi, O. P. S.; Dehnen, H.

doi:10.1007/s10773-011-0733-y

Cited by 8 publications

(14 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…are describing electromagnetic fields originating from a dyon. More on dyons can be found, for example, in (Negi and Dehnen 2011).…”

Section: Appendicesmentioning

confidence: 99%

Optical knots and contact geometry I. From Arnol’d inequality to Ranada’s dyons

Kholodenko

2015

Anal.Math.Phys.

View full text Add to dashboard Cite

Recently there had been a great deal of activity associated with various schemes of designing both analytical and experimental methods describing knotted structures in electrodynamics and in hydrodynamics. The majority of works in electrodynamics were inspired by the influential paper by Ranada (1989) and its subsequent refinements. In this work and in its companion we reanalyze Ranada's results using methods of contact geometry and topology. Not only our analysis allows us to reproduce his major results but, in addition, it provides opportunities for considerably extending the catalog of known knot types. Furthermore, it allows to reinterpret both the electric and magnetic charges purely topologically thus opening the possibility of treatment of masses and charges in Yang-Mills and gravity theories also topologically. According to (now proven) Thurston's geometrization conjecture complements of all knots/links in S 3 are spaces of positive, zero or negative curvature. This means that spaces around our topological masses/charges are curved. This fact is essential for design of purely topological theories of gravity, electromagnetism and strong/weak interactions.

show abstract

“…are describing electromagnetic fields originating from a dyon. More on dyons can be found, for example, in (Negi and Dehnen 2011).…”

Section: Appendicesmentioning

confidence: 99%

Optical knots and contact geometry I. From Arnol’d inequality to Ranada’s dyons

Kholodenko

2015

Anal.Math.Phys.

View full text Add to dashboard Cite

show abstract

“…where A μ and B μ may be identified as the four potentials associated, respectively, with the electric and magnetic charges of dyons in terms of U(1) × U(1) gauge theory [28]. Here, the gauge transformations are Abelian and global.…”

Section: Quaternion Dirac Equation For Dyonsmentioning

confidence: 99%

“…Here the gauge field strengths F μν and F μν are described [28] as the generalized antisymmetric dual invariant electromagnetic field tensors for dyons and are expressed as…”

Section: Quaternion Dirac Equation For Dyonsmentioning

confidence: 99%

“…which leads to the following expressions [28] for the generalized electromagnetic fields of dyons i.e. F μν,ν = j μ ;…”

Section: Quaternion Dirac Equation For Dyonsmentioning

confidence: 99%

“…So, by virtue of duality of magnetic charge [27][28][29][30], we take B 0 = 0, B l = 0, A μ = 0. Thus, (37) reduces to…”

Section: Case (C): For Electric Field Due To Magnetic Monopolementioning

confidence: 99%

See 2 more Smart Citations

Supersymmetrization of Quaternion Dirac Equation for Generalized Fields of Dyons

Rawat

et al. 2012

Int J Theor Phys

Self Cite

View full text Add to dashboard Cite

The quaternion Dirac equation in presence of generalized electromagnetic field has been discussed in terms of two gauge potentials of dyons. Accordingly, the supersymmetry has been established consistently and thereafter the one, two and component Dirac Spinors of generalized quaternion Dirac equation of dyons for various energy and spin values are obtained for different cases in order to understand the duality invariance between the electric and magnetic constituents of dyons.

show abstract

Octonion Quantum Chromodynamics

Chanyal

Bisht

et al. 2012

Int J Theor Phys

Self Cite

View full text Add to dashboard Cite

Starting with the usual definitions of octonions, an attempt has been made to establish the relations between octonion basis elements and Gell-Mann \lambda matrices of SU(3)symmetry on comparing the multiplication tables for Gell-Mann \lambda matrices of SU(3)symmetry and octonion basis elements. Consequently, the quantum chromo dynamics (QCD) has been reformulated and it is shown that the theory of strong interactions could be explained better in terms of non-associative octonion algebra. Further, the octonion automorphism group SU(3) has been suitably handled with split basis of octonion algebra showing that the SU(3)_{C}gauge theory of colored quarks carries two real gauge fields which are responsible for the existence of two gauge potentials respectively associated with electric charge and magnetic monopole and supports well the idea that the colored quarks are dyons

show abstract

Gauge Formulation for Two Potential Theory of Dyons

Cited by 8 publications

References 46 publications

Optical knots and contact geometry I. From Arnol’d inequality to Ranada’s dyons

Optical knots and contact geometry I. From Arnol’d inequality to Ranada’s dyons

Supersymmetrization of Quaternion Dirac Equation for Generalized Fields of Dyons

Octonion Quantum Chromodynamics

Contact Info

Product

Resources

About