Critical Ising model in varying dimension by conformal bootstrap

Abstract The single-correlator conformal bootstrap is solved numerically for several values of dimension 4 < d < 2 using the available SDPB and Extremal Functional methods. Critical exponents and other conformal data of low-lying states are obtained over the entire range of dimensions with up...
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Gespeichert in:

Autor*in:	Andrea Cappelli [verfasserIn] Lorenzo Maffi [verfasserIn] Satoshi Okuda [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	Conformal and W Symmetry Conformal Field Theory Nonperturbative Effects

Übergeordnetes Werk:	In: Journal of High Energy Physics - SpringerOpen, 2016, (2019), 1, Seite 37
Übergeordnetes Werk:	year:2019 ; number:1 ; pages:37

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1007/JHEP01(2019)161

Katalog-ID:	DOAJ046820256

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allfieldsSound	10.1007/JHEP01(2019)161 doi (DE-627)DOAJ046820256 (DE-599)DOAJ59e86d5b10a64f1eada2bb4fb17b8c52 DE-627 ger DE-627 rakwb eng QC770-798 Andrea Cappelli verfasserin aut Critical Ising model in varying dimension by conformal bootstrap 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The single-correlator conformal bootstrap is solved numerically for several values of dimension 4 < d < 2 using the available SDPB and Extremal Functional methods. Critical exponents and other conformal data of low-lying states are obtained over the entire range of dimensions with up to four-decimal precision and then compared with several existing results. The conformal dimensions of leading-twist fields are also determined up to high spin, and their d-dependence shows how the conformal states rearrange themselves around d = 2.2 for matching the Virasoro conformal blocks in the d = 2 limit. The decoupling of states at the Ising point is studied for 3 < d < 2 and the vanishing of one structure constant at d = 3 is found to persist till d = 2 where it corresponds to a Virasoro null-vector condition. Conformal and W Symmetry Conformal Field Theory Nonperturbative Effects Nuclear and particle physics. Atomic energy. Radioactivity Lorenzo Maffi verfasserin aut Satoshi Okuda verfasserin aut In Journal of High Energy Physics SpringerOpen, 2016 (2019), 1, Seite 37 (DE-627)320910571 (DE-600)2027350-2 10298479 nnns year:2019 number:1 pages:37 https://doi.org/10.1007/JHEP01(2019)161 kostenfrei https://doaj.org/article/59e86d5b10a64f1eada2bb4fb17b8c52 kostenfrei http://link.springer.com/article/10.1007/JHEP01(2019)161 kostenfrei https://doaj.org/toc/1029-8479 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2019 1 37
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callnumber-first	Q - Science
author	Andrea Cappelli
spellingShingle	Andrea Cappelli misc QC770-798 misc Conformal and W Symmetry misc Conformal Field Theory misc Nonperturbative Effects misc Nuclear and particle physics. Atomic energy. Radioactivity Critical Ising model in varying dimension by conformal bootstrap
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topic_title	QC770-798 Critical Ising model in varying dimension by conformal bootstrap Conformal and W Symmetry Conformal Field Theory Nonperturbative Effects
topic	misc QC770-798 misc Conformal and W Symmetry misc Conformal Field Theory misc Nonperturbative Effects misc Nuclear and particle physics. Atomic energy. Radioactivity
topic_unstemmed	misc QC770-798 misc Conformal and W Symmetry misc Conformal Field Theory misc Nonperturbative Effects misc Nuclear and particle physics. Atomic energy. Radioactivity
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title	Critical Ising model in varying dimension by conformal bootstrap
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title_full	Critical Ising model in varying dimension by conformal bootstrap
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title_sort	critical ising model in varying dimension by conformal bootstrap
callnumber	QC770-798
title_auth	Critical Ising model in varying dimension by conformal bootstrap
abstract	Abstract The single-correlator conformal bootstrap is solved numerically for several values of dimension 4 < d < 2 using the available SDPB and Extremal Functional methods. Critical exponents and other conformal data of low-lying states are obtained over the entire range of dimensions with up to four-decimal precision and then compared with several existing results. The conformal dimensions of leading-twist fields are also determined up to high spin, and their d-dependence shows how the conformal states rearrange themselves around d = 2.2 for matching the Virasoro conformal blocks in the d = 2 limit. The decoupling of states at the Ising point is studied for 3 < d < 2 and the vanishing of one structure constant at d = 3 is found to persist till d = 2 where it corresponds to a Virasoro null-vector condition.
abstractGer	Abstract The single-correlator conformal bootstrap is solved numerically for several values of dimension 4 < d < 2 using the available SDPB and Extremal Functional methods. Critical exponents and other conformal data of low-lying states are obtained over the entire range of dimensions with up to four-decimal precision and then compared with several existing results. The conformal dimensions of leading-twist fields are also determined up to high spin, and their d-dependence shows how the conformal states rearrange themselves around d = 2.2 for matching the Virasoro conformal blocks in the d = 2 limit. The decoupling of states at the Ising point is studied for 3 < d < 2 and the vanishing of one structure constant at d = 3 is found to persist till d = 2 where it corresponds to a Virasoro null-vector condition.
abstract_unstemmed	Abstract The single-correlator conformal bootstrap is solved numerically for several values of dimension 4 < d < 2 using the available SDPB and Extremal Functional methods. Critical exponents and other conformal data of low-lying states are obtained over the entire range of dimensions with up to four-decimal precision and then compared with several existing results. The conformal dimensions of leading-twist fields are also determined up to high spin, and their d-dependence shows how the conformal states rearrange themselves around d = 2.2 for matching the Virasoro conformal blocks in the d = 2 limit. The decoupling of states at the Ising point is studied for 3 < d < 2 and the vanishing of one structure constant at d = 3 is found to persist till d = 2 where it corresponds to a Virasoro null-vector condition.
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title_short	Critical Ising model in varying dimension by conformal bootstrap
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