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Results tagged with quantum-field-theory
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user 119114
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.
5
votes
0
answers
357
views
Research Problem combining Algebraic Geometry and QFT
A student who specialises in algebraic geometry has contacted me to ask if they could collaborate with me on some problem which relates mathematical physics and algebraic geometry. I think his idea i …
- 5,146
7
votes
Axiomatic QFT, the reconstruction theorem and functional integrals
I think what you say in Q2 is correct. It is certainly desirable to have a mathematically rigorous axiomatic formulation of QFT, but it seems unlikely that this would lead to any new physics results. …
- 5,146
5
votes
0
answers
153
views
Associating noncommutative geometries to 2D conformal field theories
I have recently been reading a bit about noncommutative geometry and string theory and it looked to be an open question (or at least this was open two decades ago) whether there are constructions whic …
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3
votes
1
answer
198
views
Supersymmetric SYK Model in 3D?
In a 2017 article More on supersymmetric and 2d analogs of the SYK model by Murugan, Stanford and Witten, the authors take a model called the SYK model (named after Sachdev, Ye and Kitaev) and study s …
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9
votes
1
answer
274
views
Physics application of Wilson surface observables
There is some work which generalises the usual Wilson loop in QFT to higher dimensions and constructs non-abelian Wilson surface functionals in the context of non-abelian gerbes.
It seems to me that t …
- 5,146
12
votes
1
answer
566
views
Alternative approaches to topological QFTs
A while ago I read the paper 'Quantum Field Theory and the Jones Polynomial' by Edward Witten. This article uses a lot of concepts from physics like BRST symmetry and the Chern-Simons action which ar …
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7
votes
What are your opinions on Zeidler's QFT books?
In general reading entire textbooks in QFT is not the best way to learn QFT (or any subject in science and mathematics). I have not heard of the books, but my guess is that they are not going to be a …
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29
votes
2
answers
4k
views
Formal mathematical definition of renormalization group flow
I was watching some lectures by Huisken where he mentioned that one-loop renormalization group flow was in some analogous to mean curvature flow. I have tried reading up the exact definition of what …
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