Geometry, Gauge, Gravity
General Relativity and Yang-Mills theories are the two pillars of our understanding of the physical world. The fact that the former is a classical field theory whereas the latter are usually presented as quantum field theories, tends to obscure the similarities between them and is often given as a m...
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| Glavni autori: | , |
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| Format: | Online |
| Jezik: | engleski |
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SISSA Medialab S.r.l.
2026
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| Teme: | |
| Online pristup: | ONIX_20260205T151136_9788898587087_2 |
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| _version_ | 1869694837148614656 |
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| author | Percacci, Roberto Zanusso, Omar |
| author_browse | Percacci, Roberto Zanusso, Omar |
| author_facet | Percacci, Roberto Zanusso, Omar |
| author_sort | Percacci, Roberto |
| collection | Directory of Open Access Books |
| description | General Relativity and Yang-Mills theories are the two pillars of our understanding of the physical world. The fact that the former is a classical field theory whereas the latter are usually presented as quantum field theories, tends to obscure the similarities between them and is often given as a motivation to develop a quantum theory of gravity. In this book we instead treat both as classical theories, putting them on a more even basis. Insisting that the dynamical variables must have a global geometrical meaning exposes their deep common foundations and allows to give precise answers to otherwise vague questions such as whether gravity is a gauge theory. The book contains standard presentations of Yang-Mills theories and General Relativity but covers also several topics that are not very well known, such as the geometry of the Higgs phenomenon, the transformation of spinors under diffeomorphisms, the derivation of General Relativity from the principles of special relativistic field theory. |
| format | Online |
| id | doab-20.500.12854ir-171210 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2026 |
| publishDateRange | 2026 |
| publishDateSort | 2026 |
| publisher | SISSA Medialab S.r.l. |
| publisherStr | SISSA Medialab S.r.l. |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1712102026-07-02T05:24:37Z Geometry, Gauge, Gravity Percacci, Roberto Zanusso, Omar Differential geometry Yang-Mills theories General Relativity thema EDItEUR::P Mathematics and Science::PH Physics::PHP Particle and high-energy physics thema EDItEUR::P Mathematics and Science::PH Physics::PHR Relativity physics thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics General Relativity and Yang-Mills theories are the two pillars of our understanding of the physical world. The fact that the former is a classical field theory whereas the latter are usually presented as quantum field theories, tends to obscure the similarities between them and is often given as a motivation to develop a quantum theory of gravity. In this book we instead treat both as classical theories, putting them on a more even basis. Insisting that the dynamical variables must have a global geometrical meaning exposes their deep common foundations and allows to give precise answers to otherwise vague questions such as whether gravity is a gauge theory. The book contains standard presentations of Yang-Mills theories and General Relativity but covers also several topics that are not very well known, such as the geometry of the Higgs phenomenon, the transformation of spinors under diffeomorphisms, the derivation of General Relativity from the principles of special relativistic field theory. 2026-02-06T05:29:57Z 2026-02-06T05:29:57Z 2026-02-05T14:27:13Z 2026 book ONIX_20260205T151136_9788898587087_2 https://library.oapen.org/handle/20.500.12657/109889 9788898587087 https://directory.doabooks.org/handle/20.500.12854/171210 eng open access image/jpeg image/jpeg image/jpeg Attribution 4.0 International Attribution 4.0 International Attribution 4.0 International https://library.oapen.org/bitstream/20.500.12657/109889/1/9788898587087.pdf https://library.oapen.org/bitstream/20.500.12657/109889/1/9788898587087.pdf https://library.oapen.org/bitstream/20.500.12657/109889/1/9788898587087.pdf SISSA Medialab S.r.l. 10.22323/9788898587087 10.22323/9788898587087 118ee6f5-3b08-441e-8a19-b6da597949df SCOAP3 c2fbf30c-ef0f-473b-8ee4-03e135ae04d0 9788898587087 SCOAP3 for Books [...] open access |
| spellingShingle | Differential geometry Yang-Mills theories General Relativity thema EDItEUR::P Mathematics and Science::PH Physics::PHP Particle and high-energy physics thema EDItEUR::P Mathematics and Science::PH Physics::PHR Relativity physics thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics Percacci, Roberto Zanusso, Omar Geometry, Gauge, Gravity |
| title | Geometry, Gauge, Gravity |
| title_full | Geometry, Gauge, Gravity |
| title_fullStr | Geometry, Gauge, Gravity |
| title_full_unstemmed | Geometry, Gauge, Gravity |
| title_short | Geometry, Gauge, Gravity |
| title_sort | geometry gauge gravity |
| topic | Differential geometry Yang-Mills theories General Relativity thema EDItEUR::P Mathematics and Science::PH Physics::PHP Particle and high-energy physics thema EDItEUR::P Mathematics and Science::PH Physics::PHR Relativity physics thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics |
| topic_facet | Differential geometry Yang-Mills theories General Relativity thema EDItEUR::P Mathematics and Science::PH Physics::PHP Particle and high-energy physics thema EDItEUR::P Mathematics and Science::PH Physics::PHR Relativity physics thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics |
| url | ONIX_20260205T151136_9788898587087_2 |
| work_keys_str_mv | AT percacciroberto geometrygaugegravity AT zanussoomar geometrygaugegravity |