Removing tadpoles in a soliton sector

Abstract It has long been known that perturbative calculations can be performed in a soliton sector of a quantum field theory by using a soliton Hamiltonian, which is constructed from the defining Hamiltonian by shifting the field by the classical soliton solution. It is also known that even if tadp...

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Autores principales:	Jarah Evslin, Hengyuan Guo
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Solitons Monopoles and Instantons Renormalization Regularization and Renormalons Field Theories in Lower Dimensions Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/5480fe88f31b45e4843d88fff66636fe
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spelling	oai:doaj.org-article:5480fe88f31b45e4843d88fff66636fe2021-11-21T12:40:51ZRemoving tadpoles in a soliton sector10.1007/JHEP11(2021)1281029-8479https://doaj.org/article/5480fe88f31b45e4843d88fff66636fe2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)128https://doaj.org/toc/1029-8479Abstract It has long been known that perturbative calculations can be performed in a soliton sector of a quantum field theory by using a soliton Hamiltonian, which is constructed from the defining Hamiltonian by shifting the field by the classical soliton solution. It is also known that even if tadpoles are eliminated in the vacuum sector, they remain in the soliton sector. In this note we show, in the case of quantum kinks at two loops, that the soliton sector tadpoles may be removed by adding certain quantum corrections to the classical solution used in this construction. Stated differently, the renormalization condition that the soliton sector tadpoles vanish may be satisfied by renormalizing the soliton solution.Jarah EvslinHengyuan GuoSpringerOpenarticleSolitons Monopoles and InstantonsRenormalization Regularization and RenormalonsField Theories in Lower DimensionsNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-18 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Solitons Monopoles and Instantons Renormalization Regularization and Renormalons Field Theories in Lower Dimensions Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Solitons Monopoles and Instantons Renormalization Regularization and Renormalons Field Theories in Lower Dimensions Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Jarah Evslin Hengyuan Guo Removing tadpoles in a soliton sector
description	Abstract It has long been known that perturbative calculations can be performed in a soliton sector of a quantum field theory by using a soliton Hamiltonian, which is constructed from the defining Hamiltonian by shifting the field by the classical soliton solution. It is also known that even if tadpoles are eliminated in the vacuum sector, they remain in the soliton sector. In this note we show, in the case of quantum kinks at two loops, that the soliton sector tadpoles may be removed by adding certain quantum corrections to the classical solution used in this construction. Stated differently, the renormalization condition that the soliton sector tadpoles vanish may be satisfied by renormalizing the soliton solution.
format	article
author	Jarah Evslin Hengyuan Guo
author_facet	Jarah Evslin Hengyuan Guo
author_sort	Jarah Evslin
title	Removing tadpoles in a soliton sector
title_short	Removing tadpoles in a soliton sector
title_full	Removing tadpoles in a soliton sector
title_fullStr	Removing tadpoles in a soliton sector
title_full_unstemmed	Removing tadpoles in a soliton sector
title_sort	removing tadpoles in a soliton sector
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/5480fe88f31b45e4843d88fff66636fe
work_keys_str_mv	AT jarahevslin removingtadpolesinasolitonsector AT hengyuanguo removingtadpolesinasolitonsector
_version_	1718418883027664896

Removing tadpoles in a soliton sector

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