On the c-theorem in more than two dimensions

Several pieces of evidence have been recently brought up in favour of the c-theorem in four and higher dimensions, but a solid proof is still lacking. We present two basic results which could be useful for this search: i) the values of the putative c-number for free field theories in any even dimens...

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Detalles Bibliográficos
Autores principales: Cappelli, A, D'Appollonio, G, Guida, R, Magnoli, N
Lenguaje:eng
Publicado: 2000
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.22323/1.006.0005
http://cds.cern.ch/record/460359
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author Cappelli, A
D'Appollonio, G
Guida, R
Magnoli, N
author_facet Cappelli, A
D'Appollonio, G
Guida, R
Magnoli, N
author_sort Cappelli, A
collection CERN
description Several pieces of evidence have been recently brought up in favour of the c-theorem in four and higher dimensions, but a solid proof is still lacking. We present two basic results which could be useful for this search: i) the values of the putative c-number for free field theories in any even dimension, which illustrate some properties of this number; ii) the general form of three-point function of the stress tensor in four dimensions, which shows some physical consequences of the c-number and of the other trace-anomaly numbers.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2000
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spelling cern-4603592019-09-30T06:29:59Zdoi:10.22323/1.006.0005http://cds.cern.ch/record/460359engCappelli, AD'Appollonio, GGuida, RMagnoli, NOn the c-theorem in more than two dimensionsParticle Physics - TheorySeveral pieces of evidence have been recently brought up in favour of the c-theorem in four and higher dimensions, but a solid proof is still lacking. We present two basic results which could be useful for this search: i) the values of the putative c-number for free field theories in any even dimension, which illustrate some properties of this number; ii) the general form of three-point function of the stress tensor in four dimensions, which shows some physical consequences of the c-number and of the other trace-anomaly numbers.hep-th/0009119SACLAY-SPHT-T-2000-131oai:cds.cern.ch:4603592000-09-15
spellingShingle Particle Physics - Theory
Cappelli, A
D'Appollonio, G
Guida, R
Magnoli, N
On the c-theorem in more than two dimensions
title On the c-theorem in more than two dimensions
title_full On the c-theorem in more than two dimensions
title_fullStr On the c-theorem in more than two dimensions
title_full_unstemmed On the c-theorem in more than two dimensions
title_short On the c-theorem in more than two dimensions
title_sort on the c-theorem in more than two dimensions
topic Particle Physics - Theory
url https://dx.doi.org/10.22323/1.006.0005
http://cds.cern.ch/record/460359
work_keys_str_mv AT cappellia onthectheoreminmorethantwodimensions
AT dappolloniog onthectheoreminmorethantwodimensions
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