|
|
|
|
|
Login | Create account |
|
|
|
|
|
|
|
|
Below is the reference list for this article:
Infinite-dimensional Lie algebras in 4D conformal quantum field theory
2008 J. Phys. A: Math. Theor. 41 194002 (12pp) doi: 10.1088/1751-8113/41/19/194002
HyperCite® linking technology enables you to link to abstracts, preprints or full text of referenced articles. Links to full text articles from IOP and other publishers are displayed in bold type (access is subject to subscription status). More information on reference links is available.
| [1] | Bakalov B and Nikolov N M 2006 Jacobi identity for vertex algebras in higher dimensions J. Math. Phys. 47 053505 (Preprint math-ph/0601012)
CrossRef Link | Preprint at arXiv.org | Order from Infotrieve |
| [2] | Bakalov B, Nikolov N M, Rehren K-H and Todorov I 2007 Unitary positive-energy representations of scalar bilocal quantum fields Commun. Math. Phys. 271 223-46 (Preprint math-ph/0604069)
CrossRef Link | Preprint at arXiv.org | Order from Infotrieve |
| [3] | Baumann K 1976 There are no scalar Lie fields in three or more dimensional space-time Commun. Math. Phys. 47 69-74
CrossRef Link | Order from Infotrieve |
| [4] | Bourbaki N 1982 Groupes de Lie réels compacts (chapitre 9) Groupes et Algèbres de Lie (Paris: Masson) |
| [5] | Buchholz D, Doplicher S, Longo R and Roberts J E 1992 A new look at Goldstone's theorem Rev. Math. Phys. SI1 49-84
CrossRef Link | Order from Infotrieve |
| [6] | Doplicher S and Roberts J 1990 Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics Commun. Math. Phys. 131 51-107
CrossRef Link | Order from Infotrieve |
| [7] | Enright T, Howe R and Wallach N 1983 A classification of unitary highest weight modules Representation Theory of Reductive Groups (Progress in Mathematics vol 40) (Basle: Birkhäuser) |
| [8] | Günaydin M and Scalise R J 1991 Unitary lowest weight representations of the noncompact supergroup OSp(2m*/2n) J. Math. Phys. 32 599-606
CrossRef Link | Order from Infotrieve |
| [9] | Haag R 1992 Local Quantum Physics (Berlin: Springer) |
| [10] | Howe R 1989 Remarks on classical invariant theory Trans. Am. Math. Soc. 313 539-70
CrossRef Link | Order from Infotrieve |
| [11] | Lang S 2002 Algebra (Graduate Texts in Mathematics vol 211) 3rd revised edn (New York: Springer) |
| [12] | CNRS 1959 Les problèmes mathématiques de la théorie quantique des champs (Lille 1957) (Colloques Internationaux du CNRS, vol 75) (Paris: Ed. du CNRS) |
| See, in particular: | |
| Haag R Discussion des 'axiomes' et des propriétés asymptotiques d'une théorie des champs locale avec particules composées pp 151-62 | |
| Segal I Caractérisation mathématique des observables en théorie quantique des champs et ses conséquences pour la structure des particules libres pp 57-103 | |
| [13] | Lowenstein J H 1967 The existence of scalar Lie fields Commun. Math. Phys. 6 49-60
CrossRef Link | Order from Infotrieve |
| [14] | Nikolov N M, Rehren K-H and Todorov I T 2005 Partial wave expansion and Wightman positivity in conformal field theory Nucl. Phys. B 722 266-96 (Preprint hep-th/0504146)
CrossRef Link | Preprint at arXiv.org | Order from Infotrieve |
| [15] | Nikolov N M, Rehren K-H and Todorov I 2008 Harmonic bilocal fields generated by globally conformal invariant scalar fields, to appear in Commun. Math. Phys. 279 225-50 (Preprint 0704.1960)
CrossRef Link | Preprint at arXiv.org | Order from Infotrieve |
| Nikolov N M, Rehren K-H and Todorov I 2007 Pole structure and biharmonic fields in conformal QFT in four dimensions LT7-Lie Theory and its Applications in Physics: Proc. Varna 2007 ed V Dobrev (Sofia: Heron) at press | |
| [16] | Nikolov N M, Stanev Ya S and Todorov I T 2002 Four-dimensional CFT models with rational correlation functions J. Phys. A: Math. Gen. 35 2985-3007 (Preprint hep-th/0110230)
IOP Article | Preprint at arXiv.org |
| [17] | Nikolov N M, Stanev Ya S and Todorov I T 2003 Globally conformal invariant gauge field theory with rational correlation functions Nucl. Phys. B 670 373-400 (Preprint hep-th/0305200)
CrossRef Link | Preprint at arXiv.org | Order from Infotrieve |
| [18] | Nikolov N M and Todorov I T 2001 Rationality of conformally invariant local correlation functions on compactified Minkowsi space Commun. Math. Phys. 218 417-36 (Preprint hep-th/0009004)
CrossRef Link | Preprint at arXiv.org | Order from Infotrieve |
| [19] | Schmidt M U 1990 Lowest weight representations of some infinite dimensional groups on Fock spaces Acta Appl. Math. 18 59-84
CrossRef Link | Order from Infotrieve |
|
||
 |
||
|