An alternative to perturbative renormalization in 3+1 dimensional field theories
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916258487730176 |
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| author | Romatschke, Paul |
| author_facet | Romatschke, Paul |
| contents | Perturbative renormalization provides the bedrock of understanding quantum field theories. In this work, I point out an alternative way of renormalizing quantum field theories, which is naturally encountered and well known for the case of large N scalar field theories. In terms of bare parameters, this non-perturbative alternative renormalization differs qualitatively from its perturbative cousin: in the continuum limit, the bare coupling constant goes to zero instead of infinity, and there is no wave-function counterterm. Despite these differences, the resulting n-point functions of the theory are finite. I provide explicit results for alternative renormalization for the O(N) model and QCD with $N_f=12$ flavors in 3+1 dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06847 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An alternative to perturbative renormalization in 3+1 dimensional field theories Romatschke, Paul High Energy Physics - Theory High Energy Physics - Phenomenology Nuclear Theory Perturbative renormalization provides the bedrock of understanding quantum field theories. In this work, I point out an alternative way of renormalizing quantum field theories, which is naturally encountered and well known for the case of large N scalar field theories. In terms of bare parameters, this non-perturbative alternative renormalization differs qualitatively from its perturbative cousin: in the continuum limit, the bare coupling constant goes to zero instead of infinity, and there is no wave-function counterterm. Despite these differences, the resulting n-point functions of the theory are finite. I provide explicit results for alternative renormalization for the O(N) model and QCD with $N_f=12$ flavors in 3+1 dimensions. |
| title | An alternative to perturbative renormalization in 3+1 dimensional field theories |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2401.06847 |