"Dynamical" non-minimal higher-spin interaction and gyromagnetic ratio
                    <i>g</i>
                    = 2

Ots, I.; Saar, R.; Loide, R.-K.; Liivat, H.

doi:10.1209/epl/i2001-00528-3

Cited by 5 publications

(6 citation statements)

References 18 publications

(41 reference statements)

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“…As a consequence of gauge invariance and Lorentz type of V(A) we obtain being non-minimal but completely determined by gauge invariance, thereby causing Poincaré symmetry, 5. as a consequence of Eq. ( 32), the gyromagnetic factor in the presence of a "dynamical" interaction as being g = 2 for any spin [26].…”

Section: Discussionmentioning

confidence: 99%

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Gauge and Lorentz Transformation Placed on the Same Foundation

Saar

Groote

Liivat

et al. 2011

Advances in Mathematical Physics

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In this note we show that a "dynamical" interaction for arbitrary spin can be constructed in a straightforward way if gauge and Lorentz transformations are placed on the same foundation. As Lorentz transformations act on space-time coordinates, gauge transformations are applied to the gauge field. Placing these two transformations on the same ground means that all quantized field like spin-1/2 and spin-3/2 spinors are functions not only of the coordinates but also of the gauge field components. This change of perspective solves a couple of problems occuring for higher spin fields like the loss of causality, bad high-energy properties and the deviation of the gyromagnetic ratio from its constant value g = 2 for any spin, as caused by applying the minimal coupling. Starting with a "dynamical" interaction, a non-minimal coupling can be derived which is consistent with causality, the expectation for the gyromagnetic ratio, and well-behaved for high energies. As a consequence, on this stage the (elektromagnetic) gauge field has to be considered as classical field. Therefore, standard quantum field theory cannot be applied. Despite this inconvenience, such a common ground is consistent with an old dream of physicists almost a century ago. Our approach, therefore, indicates a straightforward way to realize this dream.

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Section: Discussionmentioning

confidence: 99%

“…In case of a particular external electromagnetic field A, the external field can be introduced by using an evolution operator V(A), called the "dynamical" representation [25,26]. By analogy with the free particle case one can realize this representation on the solution space of relativistically invariant equations.…”

Section: Introduction Of the External Fieldmentioning

confidence: 99%

Gauge and Lorentz Transformation Placed on the Same Foundation

Saar

Groote

Liivat

et al. 2011

Advances in Mathematical Physics

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“…Introducing the interactions in this way preserves the Poincaré symmetry of the free theory and, hopefully, also the number of degrees of freedom of the free theory. The dynamical theory has achieved success in constructing causal spin-3/2 equations [28] and for justifying the value of gyromagnetic ratio g = 2 for any spin [29].…”

Section: Problems Of Higher-spin Interactionsmentioning

confidence: 99%

“…As a consequence of Eq. ( 49) the gyromagnetic factor is g = 2 and the Bargmann-Michel-Telegdi equation for the four-polarization vector of the particle takes its simplest form in the proper time frame of the particle [29].…”

Section: Local Phase Transformationmentioning

confidence: 99%

“…must satisfy the commutation relations of the Poincaré algebra. In the case of a particular external electromagnetic field A, the external field can be introduced by using an evolution operator V(A), called the dynamical representation [28,29]. By analogy with the free particle case one can realize this representation on the solution space of relativistically invariant equations.…”

Section: Introduction Of the External Fieldmentioning

confidence: 99%

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“Dynamical” interactions and gauge invariance

et al. 2011

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In order to avoid known, long-standing problems with higher-spin interactions, the electromagnetic field is introduced "dynamically" by using a nonsingular, Lorentztype transformation, acting as adjoint representation on the Poincaré algebra of the free theory. In doing so, Lorentz transformation and local gauge transformation are placed on the same foundations, leading to the phase transition as a consequence of the gauge transformation. The procedure is exemplified in the case of plane waves for the Dirac-type equation and the Rarita-Schwinger equation.published as Physical Review D84 (2011) 065022 † Deceased.Understanding the higher-spin interactions 1 is a long-standing problem. However, in spite of its 70 years history, the main goal -the construction of a consistent higher-spin theory, even for the electromagnetic interaction which ought to be the simplest case -has not been achieved yet.The theory of higher-spin interactions has never belonged to the "mainstream" theories. The field has been cultivated by groups of enthusiasts. On the other hand, the theory of higher-spin interactions is needed for solving many mainstream problems. It is related to the Standard Model (SM) in several ways. By introducing the massive spin-one gauge bosons into the theory one also introduces higher-spin problems into the Standard Model. Difficulties appear for instance in scattering processes with the charged gauge bosons W ± in the initial or final state, or in constructing three-vertex gauge boson self-interactions. A consistent higher-spin interaction theory is also needed in chromodynamics. Quantum Chromodynamics (QCD) does not yet allow one to describe low-energy hadronic processes in terms of underlying quark-gluon dynamics. Because of this one has to use a more phenomenological approach in terms of hadronic fields. However, one of the basic problems here is the treatment of hadrons with higher spins [2].Also for theories beyond the SM one needs a better understanding of ordinary higherspin field theory. String theory for instance is free of many higher-spin problems and due to this it is believed that it can consistently describe quantum gravity. A reason behind this consistent behaviour is that string theories contain an infinite tower of all spin states. But at the same time serious troubles exist in the physical interpretation of the string theories. The existence of a consistent higher-spin interaction theory would help in better understanding the physics behind the string theory. It is believed that if a breakthrough in understanding the basic problems of the ordinary higher-spin field theory happens, it might become a fashionable topic [3].The investigations of higher-spin fields started in the 1930s of the last century with papers by Dirac [4], Wigner [5], Fierz and Pauli [6], and were followed by the works of Rarita and Schwinger [7], Bargmann and Wigner [8], and others [9,10,11,12,13,14,15]. The difficulties in higher-spin physics revealed themselves when one tried to couple higherspin fields to an electromagn...

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The gyromagnetic factor in electrodynamics, quantum theory and general relativity

Pfister

King

2002

Class. Quantum Grav.

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Starting with some basic facts about the gyromagnetic factor g in Maxwell's theory, we review the special role played by a g factor g = 2 in quantum mechanics and elementary particle physics, and we draw attention to the same value g = 2 for the black holes and many other (electro-)vacuum solutions of general relativity. We strengthen and extend this special role of g = 2 in general relativity by considering a class of slowly rotating, charged mass shells, showing that the black-hole value g = 2 is extremely robust. Therefrom, we advance the hypothesis that the coincidence between these preferred g values signifies a deep common root of quantum theory and general relativity.

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"Dynamical" non-minimal higher-spin interaction and gyromagnetic ratio g = 2

Cited by 5 publications

References 18 publications

Gauge and Lorentz Transformation Placed on the Same Foundation

Gauge and Lorentz Transformation Placed on the Same Foundation

“Dynamical” interactions and gauge invariance

The gyromagnetic factor in electrodynamics, quantum theory and general relativity

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