Dynamical Lorentz Symmetry Breaking in a Scale-free Theory of Gravity
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912146974048256 |
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| author | Lehum, A. C. Nascimento, J. R. Petrov, A. Yu. Porfírio, P. J. |
| author_facet | Lehum, A. C. Nascimento, J. R. Petrov, A. Yu. Porfírio, P. J. |
| contents | This paper explores the renormalization of scale-free quadratic gravity coupled to the bumblebee field and its potential for dynamically breaking Lorentz symmetry. We conduct one-loop renormalization of the model and calculate the associated renormalization group functions. Furthermore, we compute the one-loop effective potential for the bumblebee field, demonstrating that it acquires a non-trivial vacuum expectation value (VEV) through radiative corrections -- a phenomenon known as the Coleman-Weinberg mechanism. This spontaneous breaking of scale invariance, driven by the non-zero VEV of the bumblebee field, leads to Lorentz symmetry violation. As a result, the non-minimal coupling between the bumblebee and gravitational fields induces a spontaneous generation of an Einstein-Hilbert term via radiative corrections, suggesting a possible link between the Planck scale and Lorentz violation phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08309 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamical Lorentz Symmetry Breaking in a Scale-free Theory of Gravity Lehum, A. C. Nascimento, J. R. Petrov, A. Yu. Porfírio, P. J. High Energy Physics - Theory This paper explores the renormalization of scale-free quadratic gravity coupled to the bumblebee field and its potential for dynamically breaking Lorentz symmetry. We conduct one-loop renormalization of the model and calculate the associated renormalization group functions. Furthermore, we compute the one-loop effective potential for the bumblebee field, demonstrating that it acquires a non-trivial vacuum expectation value (VEV) through radiative corrections -- a phenomenon known as the Coleman-Weinberg mechanism. This spontaneous breaking of scale invariance, driven by the non-zero VEV of the bumblebee field, leads to Lorentz symmetry violation. As a result, the non-minimal coupling between the bumblebee and gravitational fields induces a spontaneous generation of an Einstein-Hilbert term via radiative corrections, suggesting a possible link between the Planck scale and Lorentz violation phenomena. |
| title | Dynamical Lorentz Symmetry Breaking in a Scale-free Theory of Gravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.08309 |