Conformal Symmetry in Field Theory and in Quantum Gravity
Conformal symmetry always played an important role in field theory (both quantum and classical) and in gravity. We present construction of quantum conformal gravity and discuss its features regarding scattering amplitudes and quantum effective action. First, the long and complicated story of UV-dive...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-11-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/4/11/125 |
| _version_ | 1828352909249609728 |
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| author | Lesław Rachwał |
| author_facet | Lesław Rachwał |
| author_sort | Lesław Rachwał |
| collection | DOAJ |
| description | Conformal symmetry always played an important role in field theory (both quantum and classical) and in gravity. We present construction of quantum conformal gravity and discuss its features regarding scattering amplitudes and quantum effective action. First, the long and complicated story of UV-divergences is recalled. With the development of UV-finite higher derivative (or non-local) gravitational theory, all problems with infinities and spacetime singularities might be completely solved. Moreover, the non-local quantum conformal theory reveals itself to be ghost-free, so the unitarity of the theory should be safe. After the construction of UV-finite theory, we focused on making it manifestly conformally invariant using the dilaton trick. We also argue that in this class of theories conformal anomaly can be taken to vanish by fine-tuning the couplings. As applications of this theory, the constraints of the conformal symmetry on the form of the effective action and on the scattering amplitudes are shown. We also remark about the preservation of the unitarity bound for scattering. Finally, the old model of conformal supergravity by Fradkin and Tseytlin is briefly presented. |
| first_indexed | 2024-04-14T01:59:59Z |
| format | Article |
| id | doaj.art-540513895e99412e89f60720f6714bf6 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-04-14T01:59:59Z |
| publishDate | 2018-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-540513895e99412e89f60720f6714bf62022-12-22T02:18:51ZengMDPI AGUniverse2218-19972018-11-0141112510.3390/universe4110125universe4110125Conformal Symmetry in Field Theory and in Quantum GravityLesław Rachwał0Instituto de Física, Universidade de Brasília, Brasília DF 70910-900, BrazilConformal symmetry always played an important role in field theory (both quantum and classical) and in gravity. We present construction of quantum conformal gravity and discuss its features regarding scattering amplitudes and quantum effective action. First, the long and complicated story of UV-divergences is recalled. With the development of UV-finite higher derivative (or non-local) gravitational theory, all problems with infinities and spacetime singularities might be completely solved. Moreover, the non-local quantum conformal theory reveals itself to be ghost-free, so the unitarity of the theory should be safe. After the construction of UV-finite theory, we focused on making it manifestly conformally invariant using the dilaton trick. We also argue that in this class of theories conformal anomaly can be taken to vanish by fine-tuning the couplings. As applications of this theory, the constraints of the conformal symmetry on the form of the effective action and on the scattering amplitudes are shown. We also remark about the preservation of the unitarity bound for scattering. Finally, the old model of conformal supergravity by Fradkin and Tseytlin is briefly presented.https://www.mdpi.com/2218-1997/4/11/125quantum gravityconformal gravityquantum field theorynon-local gravitysuper- renormalizable gravityUV-finite gravityconformal anomalyscattering amplitudesconformal symmetryconformal supergravity |
| spellingShingle | Lesław Rachwał Conformal Symmetry in Field Theory and in Quantum Gravity Universe quantum gravity conformal gravity quantum field theory non-local gravity super- renormalizable gravity UV-finite gravity conformal anomaly scattering amplitudes conformal symmetry conformal supergravity |
| title | Conformal Symmetry in Field Theory and in Quantum Gravity |
| title_full | Conformal Symmetry in Field Theory and in Quantum Gravity |
| title_fullStr | Conformal Symmetry in Field Theory and in Quantum Gravity |
| title_full_unstemmed | Conformal Symmetry in Field Theory and in Quantum Gravity |
| title_short | Conformal Symmetry in Field Theory and in Quantum Gravity |
| title_sort | conformal symmetry in field theory and in quantum gravity |
| topic | quantum gravity conformal gravity quantum field theory non-local gravity super- renormalizable gravity UV-finite gravity conformal anomaly scattering amplitudes conformal symmetry conformal supergravity |
| url | https://www.mdpi.com/2218-1997/4/11/125 |
| work_keys_str_mv | AT lesławrachwał conformalsymmetryinfieldtheoryandinquantumgravity |