On the Faddeev-Popov Operator Eigenspectrum in Topological Background Fields
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| Format: | Artículo científico |
| Language: | en |
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Sociedade Brasileira de Física
2007
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| _version_ | 1876480067902636032 |
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| author | Axel Maas |
| author_facet | Axel Maas |
| contents | On the Faddeev-Popov Operator Eigenspectrum in Topological Background Fields Axel Maas Física, Astronomía y Matemáticas QCD Vortex Gribov Faddeev Instanton During the last years significant progress has been made in the understanding of the confinement of quarksand gluons. However, this progress has been made in two directions, which are at first sight very different. Onthe one hand, topological configurations seem to play an important role in the formation of the static quarkanti-quark potential. On the other hand, when studying Green´s functions, the Faddeev-Popov operator seems tobe of importance, especially its spectrum near zero. To investigate whether a connection between both aspectsexist, the eigenspectrum of the Faddeev-Popov operator in an instanton and a center-vortex background field aredetermined analytically in the continuum. It is found that both configurations give rise to additional zero-modes.This agrees with corresponding studies of vortices in lattice gauge theory. In the vortex case also one necessarycondition for the confinement of color is fulfilled. Some possible consequences of the results will be discussed,and also a few remarks on monopoles will be given. 2007 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46437407 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2B Vol.37 |
| format | Artículo científico |
| id | redalyc_46437407 |
| institution | Redalyc |
| language | en |
| publishDate | 2007 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | On the Faddeev-Popov Operator Eigenspectrum in Topological Background Fields Axel Maas Física, Astronomía y Matemáticas QCD Vortex Gribov Faddeev Instanton On the Faddeev-Popov Operator Eigenspectrum in Topological Background Fields Axel Maas Física, Astronomía y Matemáticas QCD Vortex Gribov Faddeev Instanton During the last years significant progress has been made in the understanding of the confinement of quarksand gluons. However, this progress has been made in two directions, which are at first sight very different. Onthe one hand, topological configurations seem to play an important role in the formation of the static quarkanti-quark potential. On the other hand, when studying Green´s functions, the Faddeev-Popov operator seems tobe of importance, especially its spectrum near zero. To investigate whether a connection between both aspectsexist, the eigenspectrum of the Faddeev-Popov operator in an instanton and a center-vortex background field aredetermined analytically in the continuum. It is found that both configurations give rise to additional zero-modes.This agrees with corresponding studies of vortices in lattice gauge theory. In the vortex case also one necessarycondition for the confinement of color is fulfilled. Some possible consequences of the results will be discussed,and also a few remarks on monopoles will be given. 2007 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46437407 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2B Vol.37 |
| title | On the Faddeev-Popov Operator Eigenspectrum in Topological Background Fields |
| topic | Física, Astronomía y Matemáticas QCD Vortex Gribov Faddeev Instanton |
| url | https://www.redalyc.org/articulo.oa?id=46437407 |