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| Format: | Preprint |
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2026
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| Accès en ligne: | https://arxiv.org/abs/2605.16172 |
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| _version_ | 1866914569846259712 |
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| author | Amaral, M. M. Lemes, V. E. R. |
| author_facet | Amaral, M. M. Lemes, V. E. R. |
| contents | In this work, we construct a BRST-exact quartet mechanism in $SU(3)$ Yang-Mills theory in the Landau gauge. The quartet sector is cohomologically trivial in the standard vacuum, ensuring equivalence to pure Yang-Mills theory. The transformation rules carry both commutator and anticommutator structures, enlarging the field content from eight to nine degrees of freedom.
Working in a prescribed Cartan-oriented background (compatible with the classical equations of motion), the theory induces a mass matrix reproducing the distinct $i$-particle propagator structure of earlier replica models without explicit breaking terms. To respect the BRST doublet theorem, we separate background generation from observable cohomology. Introducing a background-equivariant covariant Cartan frame, we show the filtered $i$-particle bilinear is the lowest perturbative component of an all-orders off-shell BRST cocycle. Despite the complex poles of elementary propagators, its leading two-point function retains a Källén--Lehmann representation with a real positive threshold and positive spectral density. The fully quantized action provides a consistent framework for renormalizability, establishing a systematic mechanism for recovering $i$-particle propagators and identifying BRST-controlled composite observables from a BRST-exact quartet extended to $SU(3)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_16172 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Background-Equivariant BRST Observables and i-Particle Propagators from an Auxiliary Quartet in SU(3) Yang-Mills Amaral, M. M. Lemes, V. E. R. High Energy Physics - Theory In this work, we construct a BRST-exact quartet mechanism in $SU(3)$ Yang-Mills theory in the Landau gauge. The quartet sector is cohomologically trivial in the standard vacuum, ensuring equivalence to pure Yang-Mills theory. The transformation rules carry both commutator and anticommutator structures, enlarging the field content from eight to nine degrees of freedom. Working in a prescribed Cartan-oriented background (compatible with the classical equations of motion), the theory induces a mass matrix reproducing the distinct $i$-particle propagator structure of earlier replica models without explicit breaking terms. To respect the BRST doublet theorem, we separate background generation from observable cohomology. Introducing a background-equivariant covariant Cartan frame, we show the filtered $i$-particle bilinear is the lowest perturbative component of an all-orders off-shell BRST cocycle. Despite the complex poles of elementary propagators, its leading two-point function retains a Källén--Lehmann representation with a real positive threshold and positive spectral density. The fully quantized action provides a consistent framework for renormalizability, establishing a systematic mechanism for recovering $i$-particle propagators and identifying BRST-controlled composite observables from a BRST-exact quartet extended to $SU(3)$. |
| title | Background-Equivariant BRST Observables and i-Particle Propagators from an Auxiliary Quartet in SU(3) Yang-Mills |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.16172 |