Infrared massive gluon propagator from a BRST-invariant Gribov horizon in a family of covariant gauges
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
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2018
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| _version_ | 1866929638187466752 |
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| author | Mintz, Bruno W. Palhares, Leticia F. Peruzzo, Giovani Sorella, Silvio P. |
| author_facet | Mintz, Bruno W. Palhares, Leticia F. Peruzzo, Giovani Sorella, Silvio P. |
| contents | A distinctive feature observed in lattice simulations of confining nonabelian gauge theories, such as Quantum Chromodynamics, is the presence of a dynamical mass for the gauge field in the low energy regime of the theory. In the Gribov-Zwanziger framework in the Landau gauge, such mass is a consequence of the generation of the dimension two condensates $\langle A_μ^aA_μ^a\rangle$ and $\langle \barφ_μ^{ab}φ_μ^{ab}-\barω_μ^{ab}ω_μ^{ab}\rangle$, where $A$ is the gluon field and the fields $\barφ$, $φ$, $\barω$, and $ω$ are Zwanziger's auxiliary fields. In this work, we show that, in the recently developed BRST-invariant version of the Refined Gribov-Zwanziger theory, these condensates can be introduced in a BRST-invariant way for a family of $R_ξ$ gauges. Their values are explicitly computed to first order and turn out to be independent of the gauge parameters contained in the gauge-fixing condition, as expected from the BRST invariance of the formulation. This fact supports the possibility of a gauge-parameter independent nonzero infrared gluon mass, whose value is the same as the one in the Landau gauge. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1812_03166 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Infrared massive gluon propagator from a BRST-invariant Gribov horizon in a family of covariant gauges Mintz, Bruno W. Palhares, Leticia F. Peruzzo, Giovani Sorella, Silvio P. High Energy Physics - Theory High Energy Physics - Phenomenology A distinctive feature observed in lattice simulations of confining nonabelian gauge theories, such as Quantum Chromodynamics, is the presence of a dynamical mass for the gauge field in the low energy regime of the theory. In the Gribov-Zwanziger framework in the Landau gauge, such mass is a consequence of the generation of the dimension two condensates $\langle A_μ^aA_μ^a\rangle$ and $\langle \barφ_μ^{ab}φ_μ^{ab}-\barω_μ^{ab}ω_μ^{ab}\rangle$, where $A$ is the gluon field and the fields $\barφ$, $φ$, $\barω$, and $ω$ are Zwanziger's auxiliary fields. In this work, we show that, in the recently developed BRST-invariant version of the Refined Gribov-Zwanziger theory, these condensates can be introduced in a BRST-invariant way for a family of $R_ξ$ gauges. Their values are explicitly computed to first order and turn out to be independent of the gauge parameters contained in the gauge-fixing condition, as expected from the BRST invariance of the formulation. This fact supports the possibility of a gauge-parameter independent nonzero infrared gluon mass, whose value is the same as the one in the Landau gauge. |
| title | Infrared massive gluon propagator from a BRST-invariant Gribov horizon in a family of covariant gauges |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/1812.03166 |