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, 1-12

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:652126

DOI: 10.1155/2011/652126

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