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arXiv · 2601.19727

Glueball mass from RGZ-inspired infrared gluodynamics: a Euclidean Bethe-Salpeter approach

Rodrigo Carmo Terin
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Abstract

We formulate and solve a Euclidean Bethe-Salpeter equation for the lightest scalar glueball (0++) in pure Yang-Mills theory, using the refined Gribov-Zwanziger gluon tree-level propagator as an infrared-complete input. In a minimal ladder truncation with an effective constant kernel strength g_C^2 and the dominant s-wave component, we extract scalar glueball masses in the range 1.7-2.3 GeV for representative values of g_C^2, with a preferred value around 1.9 GeV near g_C^2 = 0.54. The result is consistent with RGZ correlator-based infrared moment analyses and with lattice expectations, providing a cross-check of RGZ-inspired infrared gluodynamics from a bound-state viewpoint.

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Rodrigo Carmo Terin. 2026-01-27. Glueball mass from RGZ-inspired infrared gluodynamics: a Euclidean Bethe-Salpeter approach. https://arxiv.org/abs/2601.19727

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