Non-perturbative quantum Yang--Mills at finite temperature beyond lattice: a Dyson--Schwinger approach
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866908294492192768 |
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| author | Frasca, Marco Ghoshal, Anish Groote, Stefan |
| author_facet | Frasca, Marco Ghoshal, Anish Groote, Stefan |
| contents | Using a Dyson--Schwinger approach, we perform an analysis of the non-trivial ground state of thermal $SU(N)$ Yang--Mills theory in the non-perturbative regime where chiral symmetry is dynamically broken by a mass gap. Basic thermodynamic observables such as energy density and pressure are derived analytically, using Jacobi elliptic functions. The results are compared with lattice results. Good agreement is found at low temperatures, providing a viable scenario of a gas of massive glue states populating higher levels of the spectrum of the theory. At high temperatures a scenario without glue states consistent with a massive scalar field is observed, showing an interesting agreement with lattice data. The possibility is discussed that the results derived in this analysis open up a novel pathway beyond lattice to precision studies of phase transitions with false vacuum and cosmological relics that depend on the equations of state in strong coupled gauge theories of the type of Quantum Chromodynamics (QCD). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15258 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-perturbative quantum Yang--Mills at finite temperature beyond lattice: a Dyson--Schwinger approach Frasca, Marco Ghoshal, Anish Groote, Stefan High Energy Physics - Phenomenology General Relativity and Quantum Cosmology High Energy Physics - Lattice High Energy Physics - Theory Using a Dyson--Schwinger approach, we perform an analysis of the non-trivial ground state of thermal $SU(N)$ Yang--Mills theory in the non-perturbative regime where chiral symmetry is dynamically broken by a mass gap. Basic thermodynamic observables such as energy density and pressure are derived analytically, using Jacobi elliptic functions. The results are compared with lattice results. Good agreement is found at low temperatures, providing a viable scenario of a gas of massive glue states populating higher levels of the spectrum of the theory. At high temperatures a scenario without glue states consistent with a massive scalar field is observed, showing an interesting agreement with lattice data. The possibility is discussed that the results derived in this analysis open up a novel pathway beyond lattice to precision studies of phase transitions with false vacuum and cosmological relics that depend on the equations of state in strong coupled gauge theories of the type of Quantum Chromodynamics (QCD). |
| title | Non-perturbative quantum Yang--Mills at finite temperature beyond lattice: a Dyson--Schwinger approach |
| topic | High Energy Physics - Phenomenology General Relativity and Quantum Cosmology High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2311.15258 |