Continuum limit of the Green function in scaled affine $φ^4_4$ quantum Euclidean covariant relativistic field theory
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arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866917883032895488 |
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| author | Fantoni, Riccardo |
| author_facet | Fantoni, Riccardo |
| contents | We prove through path integral Monte Carlo computer experiments that the affine quantization of the $φ_4^4$ scaled Euclidean covariant relativistic scalar field theory is a valid quantum field theory with a well defined continuum limit of the one- and two-point-function. Affine quantization leads to a completely satisfactory quantization of field theories using situations that involve scaled behavior leading to an unexpected, $\hbar^2/φ^2$ which arises only in the quantum aspects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10903 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Continuum limit of the Green function in scaled affine $φ^4_4$ quantum Euclidean covariant relativistic field theory Fantoni, Riccardo High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Lattice Computational Physics Quantum Physics We prove through path integral Monte Carlo computer experiments that the affine quantization of the $φ_4^4$ scaled Euclidean covariant relativistic scalar field theory is a valid quantum field theory with a well defined continuum limit of the one- and two-point-function. Affine quantization leads to a completely satisfactory quantization of field theories using situations that involve scaled behavior leading to an unexpected, $\hbar^2/φ^2$ which arises only in the quantum aspects. |
| title | Continuum limit of the Green function in scaled affine $φ^4_4$ quantum Euclidean covariant relativistic field theory |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Lattice Computational Physics Quantum Physics |
| url | https://arxiv.org/abs/2402.10903 |