## New answers tagged mp.mathematical-physics

9
votes

Accepted

### What are double groups mathematically?

As far as I can tell, a double group is a double cover of a group. Specifically, if $G \subset \operatorname{SO}(n)$ is a group acting by rotations of $n$-dimensional space, its double group is the ...

8
votes

Accepted

### Is the Gödel universe Wick rotatable?

$\DeclareMathOperator\SL{SL}$Clearly, as Robert Bryant indicates, it is Wick-rotatable to a different Lorentzian space. However, it is also Wick-rotatable to a Riemannian space, albeit negative ...

3
votes

Accepted

### 7-sphere x 4-sphere manifold and its physical significance

I suppose that you don't really mean for both spaces to be spheres, so I will interpret your question about the (4,7) split. The context here is eleven-dimensional supergravity and the studies of ...

4
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### Why computing $n$-point correlations?

Now, suppose I am not interested in QFT (in the sense that I don't want to quantize a classical field) but, instead, I want to study many body quantum mechanics.
Tough luck! :-) These are ...

2
votes

### Why computing $n$-point correlations?

The $n$-point functions for $n\ge 3$ are required if you are interested in how your system responds to an external probe $\phi$ (e.g. an electromagnetic field). You have to couple this to your system ...

4
votes

### Why computing $n$-point correlations?

In physics, you certainly want to do more than just find the energy eigenvalues that you get from the 2-point functions. You also want to evaluate matrix elements of operators in the corresponding ...

6
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### Why computing $n$-point correlations?

Quite generally, three-point (and higher order) correlators are used to reveal the non-Gaussian (read: nonclassical) character of the fields, see for example Experimental characterization of a quantum ...

2
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### Reference for rigorous interacting many-body quantum mechanics

I believe all of these topics and more are also covered in
Dereziński, Jan; Gérard, Christian, Mathematics of quantization and quantum fields, Cambridge Monographs on Mathematical Physics. Cambridge: ...

4
votes

### Reference for rigorous interacting many-body quantum mechanics

A textbook that covers much ground in a mathematically rigorous way is Mathematical Methods of Many-Body Quantum Field Theory by Detlef Lehmann (2004).
This book offers a comprehensive, ...

8
votes

### Is the Gödel universe Wick rotatable?

I may be misreading the sources that you list for the definition of Wick-rotatable, but, I believe that the following construction does fit that definition: According to the Wikipedia page that the ...

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