Gauge and Lorentz Transformation Placed on the Same Foundation

Rein Saar, Stefan Groote, Hannes Liivat and Ilmar Ots

Advances in Mathematical Physics, 2011, vol. 2011, issue 1

Abstract: 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. As a consequence, on this stage the (electromagnetic) 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.

Date: 2011
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https://doi.org/10.1155/2011/652126

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2011:y:2011:i:1:n:652126

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