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This tag is used if a reference is needed in a paper or textbook on a specific result.

5 votes
1 answer
519 views

Reference Request for a particular approach of (rigorous) statistical mechanics

I was reading Mathematical Aspects of Quantum Field Theory by. E. de Faria and W. de Melo, and the following caught my attention. In (Hamiltonian) mechanics, the states of a system are described by p …
8 votes
1 answer
981 views

Rigorous construction of fermionic field theory?

In section X.7 of Reed & Simon's book there is a nice rigorous construction of the free scalar field theory which applies to the Klein-Gordon field. Question: Are there references which discuss, in an …
4 votes
1 answer
602 views

Representations of the Lorentz group

The first few lines of this post is based on this lecture notes, but similar expositions can be found in other physics books such as Peskin & Schroeder's book. On chapter 8 of the linked notes, the au …
2 votes
2 answers
427 views

What's the current state of cluster expansions?

A classic reference on cluster expansions in mathematical physics (specially statistical mechanics) is these lecture notes by professor Brydges for a les Houches course in 1984 on the mentioned topic. …
16 votes
2 answers
2k views

Good overviews on $\phi^{4}$-field theory?

I'm looking for nice overviews on $\phi^{4}$-field theory from the mathematical-physics point of view. To be a little more specific, here are some topics I'd like to read about: (1) What are the motiv …
6 votes
2 answers
589 views

Reference for rigorous second quantization

I'd like to get acquainted with the basics of mathematical rigorous second quantization, so I'm looking for an adequate reference on this subject. I've a background in quantum mechanics, but I don't k …
7 votes
1 answer
721 views

Taylor expansion with remainder on locally convex spaces

It is usual to introduce Fréchet and Gâteaux derivatives in Banach spaces. In this context, the familiar Taylor expansion with remainder is also at hand, as you can see on the picture below taken from …