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...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2011/652126 |
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| _version_ | 1832546712089001984 |
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| author | Rein Saar Stefan Groote Hannes Liivat Ilmar Ots |
| author_facet | Rein Saar Stefan Groote Hannes Liivat Ilmar Ots |
| author_sort | Rein Saar |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-04922944d5464187aed0d83fad9cf0ba |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-04922944d5464187aed0d83fad9cf0ba2025-02-03T06:47:23ZengWileyAdvances in Mathematical Physics1687-91201687-91392011-01-01201110.1155/2011/652126652126Gauge and Lorentz Transformation Placed on the Same FoundationRein Saar0Stefan Groote1Hannes Liivat2Ilmar Ots3Loodus- ja Tehnoloogiateaduskond, Füüsika Instituut, Tartu Ülikool, Riia 142, 51014 Tartu, EstoniaLoodus- ja Tehnoloogiateaduskond, Füüsika Instituut, Tartu Ülikool, Riia 142, 51014 Tartu, EstoniaLoodus- ja Tehnoloogiateaduskond, Füüsika Instituut, Tartu Ülikool, Riia 142, 51014 Tartu, EstoniaLoodus- ja Tehnoloogiateaduskond, Füüsika Instituut, Tartu Ülikool, Riia 142, 51014 Tartu, EstoniaWe 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.http://dx.doi.org/10.1155/2011/652126 |
| spellingShingle | Rein Saar Stefan Groote Hannes Liivat Ilmar Ots Gauge and Lorentz Transformation Placed on the Same Foundation Advances in Mathematical Physics |
| title | Gauge and Lorentz Transformation Placed on the Same Foundation |
| title_full | Gauge and Lorentz Transformation Placed on the Same Foundation |
| title_fullStr | Gauge and Lorentz Transformation Placed on the Same Foundation |
| title_full_unstemmed | Gauge and Lorentz Transformation Placed on the Same Foundation |
| title_short | Gauge and Lorentz Transformation Placed on the Same Foundation |
| title_sort | gauge and lorentz transformation placed on the same foundation |
| url | http://dx.doi.org/10.1155/2011/652126 |
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