This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. Find sources: "Wightman axioms" – news · newspapers · books · scholar · JSTOR(May 2014) (Learn how and when to remove this message)
Quantum field theory
Feynman diagram
History
Background
Field theory
Electromagnetism
Weak force
Strong force
Quantum mechanics
Special relativity
General relativity
Gauge theory
Yang–Mills theory
Symmetries
Symmetry in quantum mechanics
C-symmetry
P-symmetry
T-symmetry
Lorentz symmetry
Poincaré symmetry
Gauge symmetry
Explicit symmetry breaking
Spontaneous symmetry breaking
Noether charge
Topological charge
Tools
Anomaly
Background field method
BRST quantization
Correlation function
Crossing
Effective action
Effective field theory
Expectation value
Feynman diagram
Lattice field theory
LSZ reduction formula
Partition function
Propagator
Quantization
Regularization
Renormalization
Vacuum state
Wick's theorem
Equations
Dirac equation
Klein–Gordon equation
Proca equations
Wheeler–DeWitt equation
Bargmann–Wigner equations
Standard Model
Quantum electrodynamics
Electroweak interaction
Quantum chromodynamics
Higgs mechanism
Incomplete theories
String theory
Supersymmetry
Technicolor
Theory of everything
Quantum gravity
Scientists
Adler
Anderson
Anselm
Bargmann
Becchi
Belavin
Bell
Berezin
Bethe
Bjorken
Bleuer
Bogoliubov
Brodsky
Brout
Buchholz
Cachazo
Callan
Coleman
Dashen
DeWitt
Dirac
Doplicher
Dyson
Englert
Faddeev
Fadin
Fayet
Fermi
Feynman
Fierz
Fock
Frampton
Fritzsch
Fröhlich
Fredenhagen
Furry
Glashow
Gelfand
Gell-Mann
Glimm
Goldstone
Gribov
Gross
Gupta
Guralnik
Haag
Heisenberg
Hepp
Higgs
Hagen
't Hooft
Iliopoulos
Ivanenko
Jackiw
Jaffe
Jona-Lasinio
Jordan
Jost
Källén
Kendall
Kinoshita
Klebanov
Kontsevich
Kuraev
Landau
Lee
Lehmann
Leutwyler
Lipatov
Łopuszański
Low
Lüders
Maiani
Majorana
Maldacena
Migdal
Mills
Møller
Naimark
Nambu
Neveu
Nishijima
Oehme
Oppenheimer
Osterwalder
Parisi
Pauli
Peskin
Plefka
Polyakov
Pomeranchuk
Popov
Proca
Rubakov
Ruelle
Salam
Schrader
Schwarz
Schwinger
Segal
Seiberg
Semenoff
Shifman
Shirkov
Skyrme
Sommerfield
Stora
Stueckelberg
Sudarshan
Symanzik
Thirring
Tomonaga
Tyutin
Vainshtein
Veltman
Virasoro
Ward
Weinberg
Weisskopf
Wentzel
Wess
Wetterich
Weyl
Wick
Wightman
Wigner
Wilczek
Wilson
Witten
Yang
Yukawa
Zamolodchikov
Zamolodchikov
Zee
Zimmermann
Zinn-Justin
Zuber
Zumino
v
t
e
In mathematical physics, the Wightman axioms (also called Gårding–Wightman axioms),[1][2] named after Arthur Wightman,[3] are an attempt at a mathematically rigorous formulation of quantum field theory. Arthur Wightman formulated the axioms in the early 1950s,[4] but they were first published only in 1964[5] after Haag–Ruelle scattering theory[6][7] affirmed their significance.
The axioms exist in the context of constructive quantum field theory and are meant to provide a basis for rigorous treatment of quantum fields and strict foundation for the perturbative methods used. One of the Millennium Problems is to realize the Wightman axioms in the case of Yang–Mills fields.
^"Hilbert's sixth problem". Encyclopedia of Mathematics. Retrieved 14 July 2014.
^"Lars Gårding – Sydsvenskan". Sydsvenskan.se. Retrieved 14 July 2014.
^A. S. Wightman, "Fields as Operator-valued Distributions in Relativistic Quantum Theory," Arkiv f. Fysik, Kungl. Svenska Vetenskapsak.28, 129–189 (1964).
^Wightman axioms in nLab.
^R. F. Streater and A. S. Wightman, PCT, Spin and Statistics and All That, Princeton University Press, Landmarks in Mathematics and Physics, 2000 (1st edn., New York, Benjamin 1964).
^R. Haag (1958), "Quantum field theories with opposite particles and asymptotic conditions," Phys. Rev.112.
^D. Ruelle (1962), "On the asymptotic condition in quantum field theory," Helv. Phys. Acta35.
In mathematical physics, the Wightmanaxioms (also called Gårding–Wightmanaxioms), named after Arthur Wightman, are an attempt at a mathematically rigorous...
satisfying these axioms. The first set of axioms for quantum field theories, known as the Wightmanaxioms, were proposed by Arthur Wightman in the early 1950s...
the Wightmanaxioms, so that the system of OS axioms (E0)-(E4) plus the linear growth condition (E0') appears to be stronger than the Wightmanaxioms. At...
axiomatic approach to quantum field theory, and originated the set of Wightmanaxioms. With his rigorous treatment of quantum field theories, he promoted...
educator and clergyman Wightman, Iowa, United States Wightman, Virginia, United States Wightmans Grove, Ohio, United States Wightmanaxioms in quantum field...
probability theory. The examples with d < 4 satisfy the Wightmanaxioms as well as the Osterwalder–Schrader axioms. They also fall in the related framework introduced...
include Wightmanaxioms and Haag–Kastler axioms.: 2–3 One way to construct theories satisfying Wightmanaxioms is to use Osterwalder–Schrader axioms, which...
field theory) Dark energy Spontaneous symmetry breaking Vacuum energy Wightmanaxioms Amsler, C.; et al. (2008). "Review of Particle Physics⁎". Physics Letters...
is Poincaré invariant, which follows from Wightmanaxioms but can also be proved directly without these axioms. Poincaré invariance implies that only scalar...
The WightmanAxioms and the Mass Gap for Weakky Coupled (φ4)3 Quantum Field Theories, Ann. of Phys. 97, 80-135 (1976), with J. Feldman The Wightman Axioms...
Jorgensen, Palle E. T.; Olafsson, Gestur (2000). "Osterwalder-Schrader axioms-Wightmanaxioms". arXiv:math-ph/0001010. Robert Schrader at the Mathematics Genealogy...
different airplane on June 17. Born: Arthur Wightman, American mathematical physicist who devised the Wightmanaxioms for quantum field theory; in Rochester...
64, Welsh footballer (Swansea City). Arthur Wightman, 90, American mathematical physicist (Wightmanaxioms). Giorgio Alverà, 69, Italian world champion...
Streater, R.; Wightman, A. (1964). PCT, Spin and Statistics and all That. W. A. Benjamin. Osterwalder, K.; Schrader, R. (1973). "Axioms for Euclidean...
Physik. 21. Glimm, James; Jaffe, Arthur; Spencer, Thomas (1974). "The WightmanAxioms and Particle Structure in the P(φ)2 Quantum Field Model". Annals of...
spacelike-separated support. The Wightman functional of a quantum field theory vanishes on the locality ideal, which is equivalent to the locality axiom for quantum field...
representation of the Lorentz group. The transformation rule is the second Wightmanaxiom of quantum field theory. By considerations of differential constraints...
Global Information
