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For questions about mathematical problems arising from physics, the natural science studying general properties of matter, radiation and energy.

15 votes

Is symplectic reduction interesting from a physical point of view?

Symplectic reduction arises naturally in constrained hamiltonian systems, e.g., gauge theories. So it is not just a question of it being "interesting" as much as a fact of life. The way to deal with …
José Figueroa-O'Farrill's user avatar
8 votes

What kind of Lagrangians can we have?

(The coordinates in the configuration space are usually known as "generalized coordinates" in the physics literature, to distinguish them from the standard coordinates in $\mathbb{R}^n$.) … In doing so, symmetries play an important rôle and nowhere is this more evident than in the business of "model building" in particle physics. …
José Figueroa-O'Farrill's user avatar
5 votes

Literature for gauge field theory on the lattice in geometrical formulation

Tony Phillips, a topologist at Stony Brook who taught me differential topology when I was a first-year graduate student, has worked on lattice gauge theory since the mid-to-late 1980s. You can try to …
16 votes

Particle Physics and Representations of Groups

The point I would like to make is that approaching the representation theory of the Poincaré group (however one motivates this study) in this fashion naturally makes contact with particle physics. …
José Figueroa-O'Farrill's user avatar
10 votes
Accepted

Why do Physicists need unitary representation of Kac-Moody algebra?

As others have mentioned, the reasons lie indeed in two-dimensional conformal field theory and in string theory. The propagation of string on a compact Lie group $G$ is described by the Wess-Zumino-W …
José Figueroa-O'Farrill's user avatar
12 votes

Perpetuum Mobile

This is not answer, but a comment. It just didn't fit. Am I the only one to whom the classification of perpetuum mobili into three kinds reminds them of this passage in Stanislaw Lem's Cyberiad? …
José Figueroa-O'Farrill's user avatar
6 votes

Something like mathoverflow in other sciences

Already we are seeing an increasing number of questions on mathematical physics. …
José Figueroa-O'Farrill's user avatar