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Results tagged with mp.mathematical-physics
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user 10718
Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
6
votes
Accepted
How does Constructive Quantum Field Theory work?
An euclidean theory which fulfills the Osterwalder-Schrader axioms gives a Wightman theory on Minkowski space via analytical continuation of the correlation function by the http://ncatlab.org/nlab/sho …
- 2,121
4
votes
Accepted
Conformally covariant distributions
Let me extend my comment. The Osterwald-Schrader axioms were invented to make the physical idea of Wick rotating quantum fields rigorous. Namely, the OS axioms are axioms on the correlation function o …
- 2,121
1
vote
Accepted
Fourier Transforms restricted to mass shell
I don't have any book in front of me at the moment, so I am a bit improvising here, but you'll find this in eg. Reed Simon 2,
Streater Wightman, or Josts book.
Let us call the map $$E:{\cal D}(\mathb …
- 2,121
2
votes
Reference for Wick product
One should be able to obtain the formula from the appendix of:
Hellmut Baumgärtel, Matthias Jurke, Fernando Lledó, Twisted duality of the CAR-Algebra, J.Math.Phys. 43 (2002) 4158-4179, https://doi.or …
- 2,121
2
votes
CFTs corresponding to affine Lie algebras
Disclaimer. I am just talking about the chiral part of a conformal field theory. The chiral parts of WZW model are described by affine Kac-Moody algebras. I am describing how to obtain the Kac-Moody a …
- 2,121
3
votes
C*-algebraic representation of observables vs self-adjoint operators one
I am basically repeating what Nick already said, but it was to long for a comment:
There is a one-to-one correspondence between self-adjoint operators and strongly continuous one-parameter groups of …
- 2,121