Extended connection in Yang-Mills theory
The three fundamental geometric components of Yang-Mills theory -gauge field, gauge fixing and ghost field- are unified in a new object: an extended connection in a properly chosen principal fiber bundle. To do this, it is necessary to generalize the notion of gauge fixing by using a gauge fixing co...
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2008
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| 003 | AR-BaUEN | ||
| 005 | 20230518203516.0 | ||
| 008 | 190411s2008 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-53349180219 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Catren, G. | |
| 245 | 1 | 0 | |a Extended connection in Yang-Mills theory |
| 260 | |c 2008 | ||
| 270 | 1 | 0 | |m Catren, G.; Instituto de Astronomia y Fisica Del Espacio, Casilla de Correo 67, Sucursal 28, Buenos Aires 1428, Argentina; email: gabrielcatren@yahoo.com.ar |
| 506 | |2 openaire |e Política editorial | ||
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| 520 | 3 | |a The three fundamental geometric components of Yang-Mills theory -gauge field, gauge fixing and ghost field- are unified in a new object: an extended connection in a properly chosen principal fiber bundle. To do this, it is necessary to generalize the notion of gauge fixing by using a gauge fixing connection instead of a section. From the equations for the extended connection's curvature, we derive the relevant BRST transformations without imposing the usual horizontality conditions. We show that the gauge field's standard BRST transformation is only valid in a local trivialization and we obtain the corresponding global generalization. By using the Faddeev-Popov method, we apply the generalized gauge fixing to the path integral quantization of Yang-Mills theory. We show that the proposed gauge fixing can be used even in the presence of a Gribov's obstruction. © 2008 Springer-Verlag. |l eng | |
| 593 | |a Instituto de Astronomia y Fisica Del Espacio, Casilla de Correo 67, Sucursal 28, Buenos Aires 1428, Argentina | ||
| 593 | |a Math. Dept. FCEN, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires 1428, Argentina | ||
| 700 | 1 | |a Devoto, J. | |
| 773 | 0 | |d 2008 |g v. 284 |h pp. 93-116 |k n. 1 |p Commun. Math. Phys. |x 00103616 |w (AR-BaUEN)CENRE-4245 |t Communications in Mathematical Physics | |
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| 856 | 4 | 0 | |u https://doi.org/10.1007/s00220-008-0608-0 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_00103616_v284_n1_p93_Catren |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00103616_v284_n1_p93_Catren |y Registro en la Biblioteca Digital |
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| 999 | |c 66566 | ||