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Results tagged with mp.mathematical-physics
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user 124549
Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
11
votes
1
answer
2k
views
What do physicists mean by a topological quantum gravity theory
This is a jargon-like question.
The fact that this is posted here rather in a physics forum indicates two things
I know too little physics.
An explanation with more mathematics flavors will be appr …
- 5,230
2
votes
0
answers
131
views
Rigorous QFT from integration over subspace
Many perturbative QFTs suffer from the lack of a rigorous
definition of a "good enough" measure over the space of paths (or
fields) $P$,
$$\mathcal{Z} = \int_{{x \in P}} e^{iS(x)} Dx$$
There are many …
- 5,230
6
votes
2
answers
832
views
1-dimensional pure gauge theory
I am learning TQFT from compact Lie groups by Freed, Hopkins, Lurie,
and Teleman: https://arxiv.org/abs/0905.0731 , and got stuck very hard
even in the first section ($n = 1$), which was "trivial but …
- 5,230
4
votes
2
answers
528
views
How much do characteristic classes fail to characterize bundles?
Given a group $G$, let $E \to B$ be a principal $G$-bundle. It is
well-known that when $B$ is a nice enough topological space (e.g.
CW-complex), such a thing corresponds to a connected component of
$H …
- 5,230
5
votes
1
answer
515
views
Definition of a moment map with physical context
This was originally posted on Math Stack Exchange, but without an answer. I thus move it here, and hope it's not because I express it unclearly.
Suppose $(M,\omega)$ is a symplectic manifold "well" …
- 5,230
2
votes
0
answers
88
views
Quillen bundles and 2D CFTs
Roughly speaking, a (mathematical) genus-$0$ conformal field theory (CFT) is a projective symmetric
monoidal functor $Z$ from $C$ to $GrVec$ [1], where $GrVec$ is the category of graded complex vector …
- 5,230