Proper-time functional renormalization in $O(N)$ scalar models coupled to gravity
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| Format: | Preprint |
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2025
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| _version_ | 1866918494289788928 |
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| author | Bonanno, Alfio M. Glaviano, Emiliano M. Vacca, Gian Paolo |
| author_facet | Bonanno, Alfio M. Glaviano, Emiliano M. Vacca, Gian Paolo |
| contents | We focus on the use of the functional Wilsonian renormalization group framework characterized by a proper time regulator and test its use in the search of the scaling solutions and the critical properties of an O(N)-invariant scalar field multiplet coupled to gravity in d=4 and d=3 dimensions. We employ the same background-fluctuation splitting and gauge fixing procedure, already adopted in a previous study based, instead, on the effective average action framework and a similar truncation of the effective action. Our main goal is to compare the results for the scaling solutions and some of the associated critical exponents. In this analysis, performed in a different framework, most of the picture previously uncovered is confirmed both at qualitative and quantitative level. There are, neverthelss, few differences both at finite N and in its large value limit, depending also on the schemes which in both frameworks are called 'improved' |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_00807 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Proper-time functional renormalization in $O(N)$ scalar models coupled to gravity Bonanno, Alfio M. Glaviano, Emiliano M. Vacca, Gian Paolo High Energy Physics - Theory General Relativity and Quantum Cosmology We focus on the use of the functional Wilsonian renormalization group framework characterized by a proper time regulator and test its use in the search of the scaling solutions and the critical properties of an O(N)-invariant scalar field multiplet coupled to gravity in d=4 and d=3 dimensions. We employ the same background-fluctuation splitting and gauge fixing procedure, already adopted in a previous study based, instead, on the effective average action framework and a similar truncation of the effective action. Our main goal is to compare the results for the scaling solutions and some of the associated critical exponents. In this analysis, performed in a different framework, most of the picture previously uncovered is confirmed both at qualitative and quantitative level. There are, neverthelss, few differences both at finite N and in its large value limit, depending also on the schemes which in both frameworks are called 'improved' |
| title | Proper-time functional renormalization in $O(N)$ scalar models coupled to gravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2508.00807 |