Parametric resonance in abelian and non-abelian gauge fields via space-time oscillations
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| Format: | Preprint |
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2023
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| _version_ | 1866911851896373248 |
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| author | Dave, Shreyansh S. Digal, Sanatan Mamale, Vinod |
| author_facet | Dave, Shreyansh S. Digal, Sanatan Mamale, Vinod |
| contents | We study the evolution of abelian $U(1)$ electromagnetic as well as non-abelian $SU(2)$ gauge fields, in the presence of space-time oscillations. Analysis of the time evolution of abelian gauge fields shows the presence of parametric resonance in spatial modes. A similar analysis in the case of non-abelian gauge fields, in the linear approximation, shows the presence of the same resonant spatial modes. The resonant modes induce large fluctuations in physical observables including those that break the $CP-$symmetry. We also carry out time evolution of small random fluctuations of the gauge fields, using numerical simulations in $2+1$ and $3+1$ dimensions. These simulations help to study non-linear effects in the case of non-abelian gauge theories. Our results show that there is an increase in energy density with the coupling, at late times. These results suggest that gravitational waves may excite non-abelian gauge fields more efficiently than electromagnetic fields. Also, gravitational waves in the early Universe and from the merger of neutron stars, black holes etc. may enhance $CP-$violation and generate an imbalance in chiral charge distributions, magnetic fields etc. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2301_07456 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Parametric resonance in abelian and non-abelian gauge fields via space-time oscillations Dave, Shreyansh S. Digal, Sanatan Mamale, Vinod High Energy Physics - Phenomenology High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology High Energy Physics - Theory We study the evolution of abelian $U(1)$ electromagnetic as well as non-abelian $SU(2)$ gauge fields, in the presence of space-time oscillations. Analysis of the time evolution of abelian gauge fields shows the presence of parametric resonance in spatial modes. A similar analysis in the case of non-abelian gauge fields, in the linear approximation, shows the presence of the same resonant spatial modes. The resonant modes induce large fluctuations in physical observables including those that break the $CP-$symmetry. We also carry out time evolution of small random fluctuations of the gauge fields, using numerical simulations in $2+1$ and $3+1$ dimensions. These simulations help to study non-linear effects in the case of non-abelian gauge theories. Our results show that there is an increase in energy density with the coupling, at late times. These results suggest that gravitational waves may excite non-abelian gauge fields more efficiently than electromagnetic fields. Also, gravitational waves in the early Universe and from the merger of neutron stars, black holes etc. may enhance $CP-$violation and generate an imbalance in chiral charge distributions, magnetic fields etc. |
| title | Parametric resonance in abelian and non-abelian gauge fields via space-time oscillations |
| topic | High Energy Physics - Phenomenology High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2301.07456 |