@Article{Aguilar_etal2023,
author="Aguilar, A. C.
and Ferreira, M. N.
and Iba{\~{n}}ez, D.
and Oliveira, B. M.
and Papavassiliou, J.",
title="Patterns of gauge symmetry in the background field method",
journal="European Physical Journal C",
year="2023",
publisher="Springer",
volume="83",
number="1",
pages="86 - 20pp",
abstract="The correlation functions of Yang-Mills theories formulated in the background field method satisfy linear Slavnov-Taylor identities, which are naive generalizations of simple tree level relations, with no deformations originating from the ghost-sector of the theory. In recent years, a stronger version of these identities has been found to hold at the level of the background gluon self-energy, whose transversality is enforced separately for each special block of diagrams contributing to the gluon Schwinger-Dyson equation. In the present work we demonstrate by means of explicit calculations that the same distinct realization of the Slavnov-Taylor identity persists in the case of the background three-gluon vertex. The analysis is carried out at the level of the exact Schwinger-Dyson equation for this vertex, with no truncations or simplifying assumptions. The demonstration entails the contraction of individual vertex diagrams by the relevant momentum, which activates Slavnov-Taylor identities of vertices and multi-particle kernels nested inside these graphs; the final result emerges by virtue of a multitude of extensive cancellations, without the need of performing explicit integrations. In addition, we point out that background Ward identities amount to replacing derivatives of propagators by zero-momentum background-gluon insertions, in exact analogy to standard properties of Abelian gauge theories. Finally, certain potential applications of these results are briefly discussed.",
optnote="WOS:000923274000003",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=5481), last updated on Mon, 13 Mar 2023 08:11:53 +0000",
issn="1434-6044",
doi="10.1140/epjc/s10052-023-11219-1",
opturl="https://arxiv.org/abs/2211.16102",
opturl="https://doi.org/10.1140/epjc/s10052-023-11219-1",
language="English"
}