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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.

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 …
Kelly Davis's user avatar
  • 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 …
Kelly Davis's user avatar
  • 1,897
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 …
Kelly Davis's user avatar
  • 1,897