Purely virtual extension of quantum field theory for gauge invariant fields: Yang–Mills theory
Abstract We extend quantum field theory by including purely virtual “cloud” sectors, to define physical off-shell correlation functions of gauge invariant quark and gluon fields, without affecting the S matrix amplitudes. The extension is made of certain cloud bosons, plus their anticommuting partne...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11717-2 |
| _version_ | 1797773973406089216 |
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| author | Damiano Anselmi |
| author_facet | Damiano Anselmi |
| author_sort | Damiano Anselmi |
| collection | DOAJ |
| description | Abstract We extend quantum field theory by including purely virtual “cloud” sectors, to define physical off-shell correlation functions of gauge invariant quark and gluon fields, without affecting the S matrix amplitudes. The extension is made of certain cloud bosons, plus their anticommuting partners. Both are quantized as purely virtual, to ensure that they do not propagate ghosts. The extended theory is renormalizable and unitary. In particular, the off-shell, diagrammatic version of the optical theorem holds. We calculate the one-loop two-point functions of dressed quarks and gluons, and show that their absorptive parts are gauge independent, cloud independent and positive (while they are generically unphysical if the cloud sectors are not purely virtual). A gauge/cloud duality simplifies the computations and shows that the gauge choice is just a particular cloud. It is possible to dress every field insertion with a different cloud. We compare the purely virtual extension to previous approaches to similar problems. |
| first_indexed | 2024-03-12T22:14:21Z |
| format | Article |
| id | doaj.art-b5234384caa2430b825d27bd2f92b9ee |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-03-12T22:14:21Z |
| publishDate | 2023-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-b5234384caa2430b825d27bd2f92b9ee2023-07-23T11:24:06ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-06-0183612510.1140/epjc/s10052-023-11717-2Purely virtual extension of quantum field theory for gauge invariant fields: Yang–Mills theoryDamiano Anselmi0Dipartimento di Fisica “E.Fermi”, Università di PisaAbstract We extend quantum field theory by including purely virtual “cloud” sectors, to define physical off-shell correlation functions of gauge invariant quark and gluon fields, without affecting the S matrix amplitudes. The extension is made of certain cloud bosons, plus their anticommuting partners. Both are quantized as purely virtual, to ensure that they do not propagate ghosts. The extended theory is renormalizable and unitary. In particular, the off-shell, diagrammatic version of the optical theorem holds. We calculate the one-loop two-point functions of dressed quarks and gluons, and show that their absorptive parts are gauge independent, cloud independent and positive (while they are generically unphysical if the cloud sectors are not purely virtual). A gauge/cloud duality simplifies the computations and shows that the gauge choice is just a particular cloud. It is possible to dress every field insertion with a different cloud. We compare the purely virtual extension to previous approaches to similar problems.https://doi.org/10.1140/epjc/s10052-023-11717-2 |
| spellingShingle | Damiano Anselmi Purely virtual extension of quantum field theory for gauge invariant fields: Yang–Mills theory European Physical Journal C: Particles and Fields |
| title | Purely virtual extension of quantum field theory for gauge invariant fields: Yang–Mills theory |
| title_full | Purely virtual extension of quantum field theory for gauge invariant fields: Yang–Mills theory |
| title_fullStr | Purely virtual extension of quantum field theory for gauge invariant fields: Yang–Mills theory |
| title_full_unstemmed | Purely virtual extension of quantum field theory for gauge invariant fields: Yang–Mills theory |
| title_short | Purely virtual extension of quantum field theory for gauge invariant fields: Yang–Mills theory |
| title_sort | purely virtual extension of quantum field theory for gauge invariant fields yang mills theory |
| url | https://doi.org/10.1140/epjc/s10052-023-11717-2 |
| work_keys_str_mv | AT damianoanselmi purelyvirtualextensionofquantumfieldtheoryforgaugeinvariantfieldsyangmillstheory |