Effective Potential for Conformal Factor and GL(4) Symmetry
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913190311362560 |
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| author | Oda, Ichiro |
| author_facet | Oda, Ichiro |
| contents | We revisit the issue that the effective potential for the conformal factor of the metric, which is generated by quantized matter fields, possesses a non-vanishing vacuum expectation value (VEV) or not. We prove that the effective potential has a vanishing vacuum expectation value on the basis of a global $GL(4)$ symmetry. We also account for the reason why there seem to be two different effective potentials for the conformal factor in a theory, one of which gives rise to a vanishing VEV for the conformal factor whereas the other does a non-vanishing VEV. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04712 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effective Potential for Conformal Factor and GL(4) Symmetry Oda, Ichiro High Energy Physics - Theory General Relativity and Quantum Cosmology We revisit the issue that the effective potential for the conformal factor of the metric, which is generated by quantized matter fields, possesses a non-vanishing vacuum expectation value (VEV) or not. We prove that the effective potential has a vanishing vacuum expectation value on the basis of a global $GL(4)$ symmetry. We also account for the reason why there seem to be two different effective potentials for the conformal factor in a theory, one of which gives rise to a vanishing VEV for the conformal factor whereas the other does a non-vanishing VEV. |
| title | Effective Potential for Conformal Factor and GL(4) Symmetry |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2401.04712 |