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Questions tagged [wightman-fields]

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8 votes
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Existence of Schwinger Functions for QCD?

It seems to me the 'naive' approach to proving the existence of Yang-Mills in a rigorous context (via Osterwalder-Schrader $\to$ Wightman axioms), would be: Study gauge invariant lattice QCD ...
QCD_IS_GOOD's user avatar
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8 votes
1 answer
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Asymptotic Completeness, generalized free fields, and the relationship of thermodynamics with infinity

Asymptotic completeness is a strong constraint on quantum field theories that rules out generalized free fields, which otherwise satisfy the Wightman axioms. If we were to take a limit of a list of ...
Peter Morgan's user avatar
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5 votes
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Wightman's theorem, in terms of time-ordered functions$.$

According to Wightman's theorem, given a set of distributions $\{W_n\}$ satisfying a set of axioms, we may conclude the existence of a set of operators $\{\phi\}$ which satisfy some properties, and ...
AccidentalFourierTransform's user avatar