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Results tagged with mathematical-physics
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DO NOT USE THIS TAG just because your question involves math! If your question is on simplification of a mathematical expression, please ask it at math.stackexchange.com. Mathematical physics is the mathematically rigorous study of the foundations of physics, and the application of advanced mathematical methods to problems in physics. Examples include partial differential equations (PDEs), variational calculus, functional analysis, and potential theory.
1
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Propagators from integral representations of Green`s functions
The Pöschl–Teller potential is one of the few exactly solvable models out there, but it's not one with particularly nice solutions. I remember looking at it briefly a long while back in relation to co …
- 3,543
6
votes
Why Zeta regularization is not valid for multiple-loops?
The standard use of zeta-regularization in quantum field theory is to replace the ill defined one-loop functional determinant with something finite:
$$\begin{align}
\det(H) &= \exp(\mathrm{tr}\lo …
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7
votes
Iterated dimensional regularization
Assuming that you can actually do the dimensionally regularized integrals, then yes, you can integrate iteratively. Normally, two-loop and higher-loop integrals are quite difficult and you need good t …
- 3,543
13
votes
Gelfand-Yaglom theorem for functional determinants
I was at a talk a while back by Gerald Dunne where he talked about the Gelfand-Yaglom theorem. He used it for calculating some Euler-Heisenberg type effective actions. A paper of his with Hyunsoo Min …
- 3,543
4
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What is sector decomposition in connection with Feynman diagrams?
Disclaimer: I've never done any real work with sector decomposition - I've only read (some of) the papers and played with some simple examples.
There are many different sector decomposition strateg …
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