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Results tagged with quantum-field-theory
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user 18936
For questions about mathematical problems arising from quantum field theory, the branch of physics which describes subatomic particles and their interactions in terms of perturbations of the corresponding scalar, vector or tensor fields.
4
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1
answer
248
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Understanding the Osterwalder-Schrader conditions as formulated by Glimm and Jaffe
$\newcommand{\real}{\mathrm{real}}$I am having trouble with understanding the axiom (OS3) in this book by Glimm and Jaffe.
It defines
\begin{equation}
\mathcal{A} = \left \{ A(\phi) = \sum_{j = 1}^N c …
- 651
2
votes
Accepted
Understanding the Osterwalder-Schrader conditions as formulated by Glimm and Jaffe
Since this has confused me multiple times, I write this answer in the hope that it might help others.
First, recall that reflection positivity as formulated by Osterwalder and Schrader states that
\be …
- 651
6
votes
1
answer
472
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Fermions, their path integrals and effective actions
I just read the nice exposition Fermionic Path Integral on nLab and began to wonder about some details to which references appear to be lacking. Suppose we live on Euclidean space as in the Osterwalde …
- 651
5
votes
0
answers
307
views
Feynman path integral and Wilsonian renormalization
Everything below is to be viewed in the Euclidean setting with $d$ dimensions and all measures are understood to be Borel measures.
The usual problem of Quantum Field Theory is to make sense of Feynma …
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2
votes
0
answers
178
views
Gauge invariance of a QFT path integral
If we consider the usual formal construction of a path integral over fields with gauge symmetries e.g as in Weinbergs "The Quantum Theory of Fields - Volume 2" the notion of gauge invariance is clear …
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6
votes
1
answer
563
views
Bochner-Minlos for moment-generating functions?
It is well-known that the Bochner-Minlos theorem characterises measures on duals of nuclear spaces by their characteristic functions. Is there a similar version for moment-generating functions?
I have …
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