On the existence of quantum fields in space-time dimension 4

DOI10.1016/0034-4877(80)90088-9zbMath0542.46042OpenAlexW2051542264MaRDI QIDQ795287

Gerald Hofmann

Publication date: 1980

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(80)90088-9

zbMATH Keywords

continuuity of the Wightmann functionalsquantum fields on 4-dimensional space time distinct from the generalized free fields and from the Borchers classes of the free field

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Miscellaneous applications of functional analysis (46N99)

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On the GNS representation of generalized free fields with indefinite metric

Cites Work

• The closure of cones in the algebra of test functions
• Entire functions of the free field
• On positive functionals on algebras of test functions for quantum fields
• On the algebra of test functions for field operators. Decomposition of linear functionals into positive ones
• Über die mannigfaltigkeit der interpolierenden felder zu einer kausalenS-Matrix
• Über die Realisierbarkeit topologischer Tensoralgebren Dem, 25. Jahrestag der DDE gewidmet
• On the borchers class of a free field
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