Finite cutoff CFT's and composite operators

Recently a conformally invariant action describing the Wilson-Fisher fixed point in D=4−ϵ dimensions in the presence of a finite UV cutoff was constructed [44]. In the present paper we construct two composite operator perturbations of this action with definite scaling dimension also in the presence...

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Autores principales:	S. Dutta, B. Sathiapalan
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/0d8d494bb95d40faaec17d6f475845ed
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spelling	oai:doaj.org-article:0d8d494bb95d40faaec17d6f475845ed2021-12-04T04:32:50ZFinite cutoff CFT's and composite operators0550-321310.1016/j.nuclphysb.2021.115574https://doaj.org/article/0d8d494bb95d40faaec17d6f475845ed2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0550321321002716https://doaj.org/toc/0550-3213Recently a conformally invariant action describing the Wilson-Fisher fixed point in D=4−ϵ dimensions in the presence of a finite UV cutoff was constructed [44]. In the present paper we construct two composite operator perturbations of this action with definite scaling dimension also in the presence of a finite cutoff. Thus the operator (as well as the fixed point action) is well defined at all momenta 0≤p≤∞ and at low energies they reduce to ∫xϕ2 and ∫xϕ4 respectively. The construction includes terms up to O(ϵ2). In the presence of a finite cutoff they mix with higher order ∫xϕn operators. The dimensions are also calculated to this order and agree with known results.S. DuttaB. SathiapalanElsevierarticleNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENNuclear Physics B, Vol 973, Iss , Pp 115574- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 S. Dutta B. Sathiapalan Finite cutoff CFT's and composite operators
description	Recently a conformally invariant action describing the Wilson-Fisher fixed point in D=4−ϵ dimensions in the presence of a finite UV cutoff was constructed [44]. In the present paper we construct two composite operator perturbations of this action with definite scaling dimension also in the presence of a finite cutoff. Thus the operator (as well as the fixed point action) is well defined at all momenta 0≤p≤∞ and at low energies they reduce to ∫xϕ2 and ∫xϕ4 respectively. The construction includes terms up to O(ϵ2). In the presence of a finite cutoff they mix with higher order ∫xϕn operators. The dimensions are also calculated to this order and agree with known results.
format	article
author	S. Dutta B. Sathiapalan
author_facet	S. Dutta B. Sathiapalan
author_sort	S. Dutta
title	Finite cutoff CFT's and composite operators
title_short	Finite cutoff CFT's and composite operators
title_full	Finite cutoff CFT's and composite operators
title_fullStr	Finite cutoff CFT's and composite operators
title_full_unstemmed	Finite cutoff CFT's and composite operators
title_sort	finite cutoff cft's and composite operators
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/0d8d494bb95d40faaec17d6f475845ed
work_keys_str_mv	AT sdutta finitecutoffcftsandcompositeoperators AT bsathiapalan finitecutoffcftsandcompositeoperators
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Finite cutoff CFT's and composite operators

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