Conformal quantisation of electrodynamics

Sotkov, G. M.; Stoyanov, D. Ts.

doi:10.1088/0305-4470/16/12/027

Cited by 16 publications

(16 citation statements)

References 7 publications

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“…10 To achieve this we evaluate L A C I BC with the aid of 13) using (4.12), (4.32), (A.11) and where .14) From the initial definition (3.17) .15) so that it is easy to see from (4.7) that 16) and hence, applying (A.13), 17) 10 Alternatively from (4.21) η A J A = η A ∂ B F AB + 2Y and using (A.1,4) we may show that…”

Section: Discussionmentioning

confidence: 99%

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Conformal Invariance and Electrodynamics: Applications and General Formalism

Codirla

Osborn

1997

Annals of Physics

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The role of the conformal group in electrodynamics in four space-time dimensions is re-examined. As a pedagogic example we use the application of conformal transformations to find the electromagnetic field for a charged particle moving with a constant relativistic acceleration from the Coulomb electric field for the particle at rest. We also re-consider the reformulation of Maxwell's equations on the projective cone, which is isomorphic to a conformal compactification on Minkowski space, so that conformal transformations, belonging to the group O(4, 2), are realised linearly. The resulting equations are different from those postulated previously and respect additional gauge invariances which play an essential role in ensuring consistency with conventional electrodynamics on Minkowski space. The solution on the projective cone corresponding to a constantly accelerating charged particle is discussed.*

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Section: Discussionmentioning

confidence: 99%

“…For any homogeneous function on the projective cone, f (λη) = λ −y f (η), it follows from (3.13) that 16) with 17) the generators of the SO(4, 2) Lie algebra…”

Section: Projective Conementioning

confidence: 99%

Conformal Invariance and Electrodynamics: Applications and General Formalism

Codirla

Osborn

1997

Annals of Physics

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“…For the rotational transitions we find ° , 8) , (42) where Z(k, 8) can be obtained by comparing with eq. (40). In eqs.…”

Section: Form Factorsmentioning

confidence: 99%

“…In this case there are four singular vector given in (24) and (40). However, V12, (d. (24b)), becomes a descendent of the singular vector V1, (d. (40a)), while V23, (d. (40b)), becomes a descendent of the singular vector V3, (d. (24a)).…”

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confidence: 99%

Symmetries in Science IX

Gruber¹,

Ramek²

1997

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“…Note that in the physics literature, instead of (ml,mz,m3), the labelling [d, j l , jzl is often used, where d = 2 -(m13 + mz)/2 is the conformal weight, j i = (mll)/2, j 2 = (m3l)/2, so that for finite-dimensional Lorentz irreps one has jk E z+/2. 3.2. We start with the equations arising from the BCG example of a subsingular vector.…”

Section: Conditionally Invariant Equationsmentioning

confidence: 99%

Generation of spatially periodic structures consisting of superimposed atomic slates.

Shtyrkov¹

1983

Sov. Phys. Usp.

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We give a systematic discussion of the relation betweensubsingular vectors of Vema modules over semisimple tie algebras F and differential equations which are conditionally 5invariant. This is extended t o~t h e Drinfeld-limbo q-deformation Uq(G) of G. We treat in detail the conformal algebra su(2, Z), its complexification rI(4) and their q-deformations. The conditionally invariant equations are the d' Alembert equation and a new equation arising from a subsingular vector proposed by Bemstein-Gel'fand-GeI'fand. We also give the q-difference analogues of these equations.

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Conformal quantisation of electrodynamics

Cited by 16 publications

References 7 publications

Conformal Invariance and Electrodynamics: Applications and General Formalism

Conformal Invariance and Electrodynamics: Applications and General Formalism

Symmetries in Science IX

Generation of spatially periodic structures consisting of superimposed atomic slates.

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