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Results tagged with mp.mathematical-physics
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user 1400
Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
0
votes
Witten's QFT and Jones Poly paper
First consider the case $M = S^3$. Generalizing, consider the connected sum of a generic M with a sphere $M = M\# S^3$
Edit Here's what I was thinking (Still not sure if it's all correct, but it seem …
- 1,897
7
votes
Stable graphs: Feynman diagrams and Deligne-Mumford space
From the sound of it, you are reading Costello's book.
In point particle QFT the stable graphs you are referring to can be thought of as the paths of particles through spacetime the vertices are whe …
- 1,897
5
votes
What is Quantization ?
Given a theory, described by an action $S(\phi)$ with field $\phi \in \mathcal{P}$, where $\mathcal{P}$ is usually the set of sections of a bundle over some manifold $M$. The action admits $\mathcal{G …
- 1,897
17
votes
Path integrals outside QFT
The path integral has many applications:
Mathematical Finance:
In mathematical finance one is faced with the problem of finding the price for an "option."
An option is a contract between a buyer an …
- 1,897
34
votes
Theoretical physics: Why not just $\mathbb{R}^4$?
A quick answer...
Likely the most well-known and accepted paper in the physics community on this is, no surprise, by Witten Global gravitational anomalies.
There he argues, in dimensions higher than 4 …
- 1,897
6
votes
Is there a relation between 4-dimensional general relativity and exotic smooth structures on...
I assume by general relativity you mean classical general relativity as opposed to any quantum version of general relativity. With that in mind I will attempt to answer your questions:
Are there prop …
- 1,897
3
votes
Is there a mathematical axiomatization of time (other than, perhaps, entropy)?
I've been avoiding answering this question, as I think axiomatization of time is a rather fruitless activity. But, as no one else has mentioned this, I feel, unfortunately, compelled to post this answ …
16
votes
What mathematical treatment is there on the renormalization group flow in a space of Lagrang...
Kevin Costello's book Renormalization and Effective Field Theory (Mathematical Surveys and Monographs) just came out. I've read a preliminary version of the text he was distributing earlier, and it is …
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