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3
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2
answers
639
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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 $$iM=\ …
2
votes
1
answer
162
views
How can four-momentum be conserved in every frame in an elastic collision?
I have this problem:
A particle B is standing still while another one, A, is moving towards it with initial 4-momentum $(E,p,0,0)$. Calculate the change in particle A's 4-momentum as viewed from t …
0
votes
1
answer
239
views
General Relativity Lagrangian
The Lagrangian density for the $h=h^{00}$ term of the Einstein gravity tensor can be simplified to: $$L=-\frac{1}{2}h\Box h + (M_p)^ah^2\Box h - (M_p)^b h T$$ The equations of motion following from t …
0
votes
Resonance propagator properties
So this is what I have until now. For the normal propagator (no loop) we get: $$\frac{i}{p^2-M^2+i\epsilon}$$ M is the mass of $\phi$ and m is the mass of $\psi$. For the 1 loop correction, I get: $$( …