Abstract
Generalized nuclearity conditions that are applicable in arbitrary superselection sectors of a quantum field theory and to theories with a maximal temperature are discussed. They are shown to imply the (distal) split property and to impose specific restrictions on the spectral properties of modular operators associated with local algebras and vectors of compact energy support.
Similar content being viewed by others
References
Haag, R. and Swieca, J. A.,Comm. Math. Phys. 1, 308 (1965).
Buchholz, D. and Wichmann, E.,Comm. Math. Phys. 106, 321 (1986).
Buchholz, D., D'Antoni, C., and Longo, R.,Comm. Math. Phys. 129, 115 (1990).
Buchholz, D. and Porrmann, M.,Ann. Inst. H. Poincaré 52, 237 (1990).
Borchers, H. J. and Schumann, R.,Lett. Math. Phys. 23, 65 (1991).
Buchholz, D., D'Antoni, C., and Fredenhagen, K.,Comm. Math. Phys. 111, 123 (1987).
Buchholz, D., D'Antoni, C., and Longo, R.,J. Funct. Anal. 88, 233 (1990).
Nevanlinna, R.,Eindeutige Analytische Funktionen, 2nd. edn., springer, Berlin, Göttingen, Heidelberg, 1953.
Kato, T.,Perturbation Theory for Linear Operators, 2nd. edn., Springer, Berlin, Heidelberg, New York, Tokyo, 1984.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Buchholz, D., Yngvason, J. Generalized nuclearity conditions and the split property in quantum field theory. Lett Math Phys 23, 159–167 (1991). https://doi.org/10.1007/BF00703730
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00703730