All Questions
4
questions
4
votes
0
answers
100
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Functional determinant: linking Series, Heat-Kernel and Zeta function
I would like to express a functional determinant as a series of diagrams, using the zeta function renormalization applied to the heat-kernel method, but I don't know if it's possible. Let me explain:
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- 2,613
4
votes
3
answers
523
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The full path integral of a quantum field theory
Suppose if one is able to do a full path integral of a QFT with an action say $S[\phi]$ i.e.
$$Z = \int [\mathcal{D}\phi] e^{iS[\phi]}.$$ What can I use $Z$ for? Can I use the $Z$ like the partition ...
- 1,200
3
votes
1
answer
276
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Integrating out bosons/fermions when the action is quadratic
Arovas and Auerbach, in their paper titled "Functional integral theories of low-dimensional quantum Heisenberg models" try to compute the free energy of $SU(N)$ models with the large $N$ ...
- 737
1
vote
1
answer
330
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Is there any meaning to a path integral of path integrals?
Is there any useful results, or even any meaning to integration over a space of functionals? For example, consider
$$\int\mathcal{D}S\,e^{-Z[S]},$$
where $Z[S]=\int\mathcal{D}\phi\,e^{-S[\phi]}$ is ...
- 150