However, there does exist a covariant alternative to Wick rotation which do not have these difficulties, though much less work has been done on it.
I would be interested in some comments on the below, related phenomenon.
That is, how the Wightman positivity translates to a situation if only the Feynman correlators — i.e., time ordered correlators — are known about the model.) $$e^{-iE(t+i\tau)}=e^{-iEt}e^{E\tau}$$
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There is also a connection between positivity of energy and causality.
2008.
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Geometry and the Standard Model in Euclidean Space, Quantization
B+SB+B+HPπ = Heaven: "Not Even Wrong" by Peter Woit (Original Review, 2006) Peter Woit: “Wow it seems this is a contentious subject with many different views .
Please try again. Isn’t it possible to create some ‘negative energy’ with the Casimir force? Whether or not you use imaginary time methods, the real time objects getting computed are inherently not functions, but boundary values of holomorphic functions, defined of necessity as limits as one approaches the real axis. happens when we can't test scientific theories, Grappling
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In QFT, however, I agree that you want a spectrum condition.
Uh-oh, it looks like your Internet Explorer is out of date. GR6402: Modern Geometry (Fall 2017), Mathematics
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Bitter emotions and obsolete understanding of high-energy physics. There was a problem loading your book clubs.
For example, the two-point connected function is the vacuum expectation value of the retarded commutator.
(We should not assume, of course, anything to be known about the theory, except for its Feynman correlators.). Quantum Theory, Groups and Representations: An Introduction, Mathematics You can always shift where E=0 is, so the point really is that energies are bounded below, that they can go off to infinity in only one direction. of Mathematics, Springer
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