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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.

5 votes
2 answers
1k views

What the role of classical equation of motion in quantum field theory?

I've learnt quantum field theory for a semester but I still can't understand the role of classical equation of motion in QFT. I have looked up for several books. They all discuss classical field theor …
Taveren Sa's user avatar
2 votes
1 answer
110 views

Infinite series of diagrams = one-loop RG equations?

In the RG of $\rm Fe$ based superconductor, the author wrote something like Infinite series of diagrams (RPA)= one-loop RG equations. I wonder if it is a universal theorem. I don't have a background …
Taveren Sa's user avatar
0 votes

Needs of unitary representation for QFT

There are two kinds of represenation of lorentz group. One is unitary, the representation space is particle space, labeled by 4 momentum and spins, and calculated by induced representation theory. The …
Taveren Sa's user avatar
0 votes

Question about the "wave function" on Relativistic Quantum Mechanics (RQM) and Quantum Field...

In similar questions, some high-energy people tend to repeat definitions from books as if they are explaining. A person who understands the question should focus on the relation between these ideas. I …
Taveren Sa's user avatar
2 votes
1 answer
401 views

The relation between full Green's function and S-matrix

I'm learning Green's function in condensed matter. The full Green's function is defined as $$G(k_2,t_2;k_1,t_1) = \langle\Omega |T a_{k_1}(t_1)a_{k_2}^{\dagger}(t_2) |\Omega \rangle $$ The $\Omega$ is …
Taveren Sa's user avatar