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Quantum Field Theory (QFT) is the theoretical framework describing the quantisation of classical fields which allows a Lorentz-invariant formulation of quantum mechanics. QFT is used both in high energy physics as well as condensed matter physics and closely related to statistical field theory. Use this tag for many-body quantum-mechanical problems and the theory of particle physics. Don’t combine with the [quantum-mechanics] tag.

3 votes
1 answer
347 views

Thermal density matrix QFT

The density matrix of a system at finite temperature is give by $$\langle\psi_1|\rho|\psi_2\rangle=\frac{1}{Z}\langle\psi_1|e^{-\beta H}|\psi_2\rangle, $$ where $Z$ is a normalization constant. We ca …
5 votes
1 answer
455 views

Higher form symmetries and massive gauge fields

I have seen all kinds of questions and answers about how to identify a higher-form symmetries, but they all seem rather abstract. What I would like to do is investigate two very simple examples. Cons …
2 votes
0 answers
142 views

Coset construction for Goldstones in Weinberg Vol II

In section 19.6 of Weinberg Vol II, there is a discussion of the coset construction for effective actions of Goldstones arising from spontaneous symmetry breaking of internal symmetries. In this secti …
3 votes
1 answer
372 views

Goldstone theorem in Weinberg vol 2

I was reading the proof of Goldstone's theorem (the operator proof starting on page 170) in Weinberg's book on QFT (Volume II) and got confused. I am able to follow each line of the proof, but as a wh …
4 votes
0 answers
88 views

Thermal Quantum Field Theory methods

I have been reading about the various techniques that have been employed to study quantum field theories near equilibrium. It seems that the two main ways are the Schwinger-Keldysh (SK) and the Thermo …