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Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.

3 votes
2 answers
639 views

Resonance propagator properties

(This is part c & d of problem 7.9 from Schwartz' book on QFT). Show that a propagator only has an imaginary part if it goes on-shell. Explicitly, show that $$Im(M)=-\pi\delta(p^2-m^2)$$ when $$iM=\ …
Alex Marshall's user avatar
2 votes
1 answer
162 views

How can four-momentum be conserved in every frame in an elastic collision?

I have this problem: A particle B is standing still while another one, A, is moving towards it with initial 4-momentum $(E,p,0,0)$. Calculate the change in particle A's 4-momentum as viewed from t …
Alex Marshall's user avatar
0 votes
1 answer
239 views

General Relativity Lagrangian

The Lagrangian density for the $h=h^{00}$ term of the Einstein gravity tensor can be simplified to: $$L=-\frac{1}{2}h\Box h + (M_p)^ah^2\Box h - (M_p)^b h T$$ The equations of motion following from t …
Alex Marshall's user avatar
0 votes

Resonance propagator properties

So this is what I have until now. For the normal propagator (no loop) we get: $$\frac{i}{p^2-M^2+i\epsilon}$$ M is the mass of $\phi$ and m is the mass of $\psi$. For the 1 loop correction, I get: $$( …
Alex Marshall's user avatar