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Perturbation theory refers to methods for understanding physical systems by treating them as small modifications to exactly solvable systems.

3 votes
1 answer
654 views

Lagrangian density of an interacting real scalar field theory

Srednicki writes the Lagrangian density of an interacting scalar field theory as $$ \mathcal{L} = -\frac{1}{2} Z_\phi \partial^\mu \phi \partial_\mu \phi -\frac{1}{2} Z_m m^2 \phi^2 + \frac{1}{6} Z_g …
rainman's user avatar
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1 vote
1 answer
145 views

Sinusoidal drive of two level system: why can we ignore one of the two terms?

I am studying the time-dependent perturbation theory from Griffith's Introduction to Quantum Mechanics. The context is a two-level system under a sinusoidal perturbation: $H'(\textbf{r}, t) = V(\textb …
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3 votes
0 answers
736 views

Vacuum to vacuum transition amplitude [duplicate]

I have two questions about Vacuum to vacuum transition amplitude. Can any particle stay in $|0\rangle$? I was studying this topic from Srednicki's QFT book. He writes in eq.$(6.22)$ $$\langle0|0 \r …
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