Gauge and Lorentz Transformation Placed on the Same Foundation
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2011/652126 |
| Summary: | 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. |
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| ISSN: | 1687-9120 1687-9139 |