An all-order proof of the equivalence between Gribov's no-pole and Zwanziger's horizon conditions
The quantization of non-Abelian gauge theories is known to be plagued by Gribov copies. Typical examples are the copies related to zero modes of the Faddeev-Popov operator, which give rise to singularities in the ghost propagator. In this work we present an exact and compact expression for the ghost...
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| Main Authors: | , , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
31 Jan 2013
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| In: |
Physics letters
Year: 2013, Volume: 719, Issue: 4-5, Pages: 448-453 |
| ISSN: | 1873-2445 |
| DOI: | 10.1016/j.physletb.2013.01.039 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.physletb.2013.01.039 Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/1212.2419 
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| Author Notes: | M. A. L. Capri, D. Dudal, M. S. Guimaraes, L. F. Palhares, S. P. Sorella |
| Summary: | The quantization of non-Abelian gauge theories is known to be plagued by Gribov copies. Typical examples are the copies related to zero modes of the Faddeev-Popov operator, which give rise to singularities in the ghost propagator. In this work we present an exact and compact expression for the ghost propagator as a function of external gauge fields, in SU(N) Yang-Mills theory in the Landau gauge. It is shown, to all orders, that the condition for the ghost propagator not to have a pole, the so-called Gribov's no-pole condition, can be implemented by demanding a nonvanishing expectation value for a functional of the gauge fields that turns out to be Zwanziger's horizon function. The action allowing to implement this condition is the Gribov-Zwanziger action. This establishes in a precise way the equivalence between Gribov's no-pole condition and Zwanziger's horizon condition. |
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| Item Description: | Gesehen am 05.03.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1873-2445 |
| DOI: | 10.1016/j.physletb.2013.01.039 |