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Results tagged with mp.mathematical-physics
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user 11031
Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
6
votes
Accepted
Absent 2nd order terms in deformation quantization of Poisson manifolds
Using a remark in this recent paper by Thomas Willwacher as a hint, I found out. The problem is solved by the following: there exists a gauge transformation $D$ that transform the extra term away. To …
- 515
5
votes
1
answer
294
views
Absent 2nd order terms in deformation quantization of Poisson manifolds
I am reading Kontsevich' famous paper on deformation quantization of Poisson manifolds. In section 1.4.2 on page 4 he gives the general formula for the star product associated to a Poisson structure o …
- 515
7
votes
1
answer
4k
views
Functional/variational derivative and the Leibniz rule
I am currently trying to understand the BV-formalism, which makes heavy use of the functional derivative.
Let us consider the functional derivative, as defined in for example its Wikipedia article.
Le …
- 515
0
votes
Accepted
Flow of evolutionary vector fields
I believe I have found the answer. I think it works like this, but I still have to verify it. In case of any other people that might have the same question, I will outline it here. It relies on the fo …
- 515
1
vote
3
answers
973
views
Flow of evolutionary vector fields
Consider a smooth vector bundle $\pi: E\rightarrow M$, the associated infinite jet bundle $J^\infty(\pi)$, and evolutionary vector fields $\partial_\varphi = \sum_{i,\sigma}(D_\sigma\varphi^i)\frac{\p …
- 515