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Comments on the Gribov ambiguity
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| Zeitschriftentitel: | Journal of Mathematical Physics |
|---|---|
| Personen und Körperschaften: | |
| In: | Journal of Mathematical Physics, 35, 1994, 2, S. 587-595 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
AIP Publishing
|
| Schlagwörter: |
| author_facet |
Kalogeropoulos, Nikolaos Kalogeropoulos, Nikolaos |
|---|---|
| author |
Kalogeropoulos, Nikolaos |
| spellingShingle |
Kalogeropoulos, Nikolaos Journal of Mathematical Physics Comments on the Gribov ambiguity Mathematical Physics Statistical and Nonlinear Physics |
| author_sort |
kalogeropoulos, nikolaos |
| spelling |
Kalogeropoulos, Nikolaos 0022-2488 1089-7658 AIP Publishing Mathematical Physics Statistical and Nonlinear Physics http://dx.doi.org/10.1063/1.530889 <jats:p>The existence of Gribov ambiguities in SU(m)×U(1) gauge theories over the n-spheres is discussed herein. The goal of this article is achieved by showing that there is exactly one conjugacy class of groups of gauge transformations for the theories given above. This implies that these transformation groups are conjugate to the ones of the trivial SU(m)×U(1) fiber bundles over the n-spheres. By using properties of the space of maps Map*(Sn,G) where G is one of U(1), SU(m), we are able to determine the homotopy type of the groups of gauge transformations in terms of the homotopy groups of G. The nontriviality of these homotopy groups gives the desired result.</jats:p> Comments on the Gribov ambiguity Journal of Mathematical Physics |
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AIP Publishing, 1994 |
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AIP Publishing, 1994 |
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0022-2488 1089-7658 |
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1994 |
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AIP Publishing |
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Journal of Mathematical Physics |
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49 |
| title |
Comments on the Gribov ambiguity |
| title_unstemmed |
Comments on the Gribov ambiguity |
| title_full |
Comments on the Gribov ambiguity |
| title_fullStr |
Comments on the Gribov ambiguity |
| title_full_unstemmed |
Comments on the Gribov ambiguity |
| title_short |
Comments on the Gribov ambiguity |
| title_sort |
comments on the gribov ambiguity |
| topic |
Mathematical Physics Statistical and Nonlinear Physics |
| url |
http://dx.doi.org/10.1063/1.530889 |
| publishDate |
1994 |
| physical |
587-595 |
| description |
<jats:p>The existence of Gribov ambiguities in SU(m)×U(1) gauge theories over the n-spheres is discussed herein. The goal of this article is achieved by showing that there is exactly one conjugacy class of groups of gauge transformations for the theories given above. This implies that these transformation groups are conjugate to the ones of the trivial SU(m)×U(1) fiber bundles over the n-spheres. By using properties of the space of maps Map*(Sn,G) where G is one of U(1), SU(m), we are able to determine the homotopy type of the groups of gauge transformations in terms of the homotopy groups of G. The nontriviality of these homotopy groups gives the desired result.</jats:p> |
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| author | Kalogeropoulos, Nikolaos |
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| container_title | Journal of Mathematical Physics |
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| description | <jats:p>The existence of Gribov ambiguities in SU(m)×U(1) gauge theories over the n-spheres is discussed herein. The goal of this article is achieved by showing that there is exactly one conjugacy class of groups of gauge transformations for the theories given above. This implies that these transformation groups are conjugate to the ones of the trivial SU(m)×U(1) fiber bundles over the n-spheres. By using properties of the space of maps Map*(Sn,G) where G is one of U(1), SU(m), we are able to determine the homotopy type of the groups of gauge transformations in terms of the homotopy groups of G. The nontriviality of these homotopy groups gives the desired result.</jats:p> |
| doi_str_mv | 10.1063/1.530889 |
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| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTA2My8xLjUzMDg4OQ |
| imprint | AIP Publishing, 1994 |
| imprint_str_mv | AIP Publishing, 1994 |
| institution | DE-Gla1, DE-Zi4, DE-15, DE-Rs1, DE-Pl11, DE-105, DE-14, DE-Ch1, DE-L229, DE-D275, DE-Bn3, DE-Brt1, DE-D161 |
| issn | 0022-2488, 1089-7658 |
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| physical | 587-595 |
| publishDate | 1994 |
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| publisher | AIP Publishing |
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| series | Journal of Mathematical Physics |
| source_id | 49 |
| spelling | Kalogeropoulos, Nikolaos 0022-2488 1089-7658 AIP Publishing Mathematical Physics Statistical and Nonlinear Physics http://dx.doi.org/10.1063/1.530889 <jats:p>The existence of Gribov ambiguities in SU(m)×U(1) gauge theories over the n-spheres is discussed herein. The goal of this article is achieved by showing that there is exactly one conjugacy class of groups of gauge transformations for the theories given above. This implies that these transformation groups are conjugate to the ones of the trivial SU(m)×U(1) fiber bundles over the n-spheres. By using properties of the space of maps Map*(Sn,G) where G is one of U(1), SU(m), we are able to determine the homotopy type of the groups of gauge transformations in terms of the homotopy groups of G. The nontriviality of these homotopy groups gives the desired result.</jats:p> Comments on the Gribov ambiguity Journal of Mathematical Physics |
| spellingShingle | Kalogeropoulos, Nikolaos, Journal of Mathematical Physics, Comments on the Gribov ambiguity, Mathematical Physics, Statistical and Nonlinear Physics |
| title | Comments on the Gribov ambiguity |
| title_full | Comments on the Gribov ambiguity |
| title_fullStr | Comments on the Gribov ambiguity |
| title_full_unstemmed | Comments on the Gribov ambiguity |
| title_short | Comments on the Gribov ambiguity |
| title_sort | comments on the gribov ambiguity |
| title_unstemmed | Comments on the Gribov ambiguity |
| topic | Mathematical Physics, Statistical and Nonlinear Physics |
| url | http://dx.doi.org/10.1063/1.530889 |