The original paper on anyons actually helped me out with one question I had previously

How do you write the action of multiple point particles as a sigma model

Although some of the rules he uses seem a little ad-hoc

Hm

I hope nobody saw that.

I'm not quite sure how the configuration space idea works out really

The coincidence points $x_1 = x_2$ are supposed to be removed, but the original paper allows particles to just bump into those singular points and come out?

"Many authors pointed out that the removal of the coincidence set from the configuration space may seem not to be physically well motivated."

Hm

are they just easy to remove singularities

I seem to recall that removing the coincidence set has some relation with braidings (and by that, statistics)

ah, yes: en.wikipedia.org/wiki/…

Where does it say that here?

if you don't remove the coincidences, then if $X=\mathbb{R}$ your space will be simply connected, so $\pi_1 = 0$

Can I remove the coincidences, take the quotient and then the completion of the space

Although I'm not sure that entirely makes sense

iirc for two particles the space is $\mathbb{R}^n \times \mathbb{R}^+ \times P^n$, but what does it mean to add the zero back in

There isn't gonna be a direction for $x_1 - x_2 = 0$

But from what I've seen if you allow coincidences you lose the manifold structure, so that may be why

I guess I should look up how dynamics works out like on an orbifold

The 1D example is just $[0, \infty) \times \mathbb{R}$ which indeed has orbifold structure

I guess you can do dynamics on the coincidence point by considering the covering space and taking the quotient again?

And that's why there's that specific boundary condition

indeed so

I'm trying to figure out how a transformers impedance changes with total power. i know at 54VA it has a impedance of 8.2% how would i find its impedance at 90VA

Are bosonic and fermionic product spaces superselection rules btw

I'm not sure I've seen anything on the topic

yes exams finally done

I suddenly feel like relearning physics after my hiatus

@Slereah did you like Siegel's Fields

@NiharKarve It has useful parts

just read the intro, I like how he subtly disses P&S lol

I will take a look

@Slereah What do you mean by "product spaces"? Superselection in this context is usually that if you try to construct the "superposition" of a fermionic and a bosonic state (i.e. a direct sum, not a tensor product), then the fermionic and bosonic parts can't interact, see physics.stackexchange.com/a/250360/50583