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Forums
Physics
Quantum Physics
Vacuum energy density after spontaneous symmetry breaking
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[QUOTE="HomogenousCow, post: 6266434, member: 435628"] These are just the regular divergences that you encounter in Green's functions', they can be renormalized via a constant counter term in the Lagrangian. You have for example a perturbation to your free Lagrangian, $$\delta H = \int d^3 x \frac{\lambda}{4!}\phi^4 (x)$$ and the first-order correction to the ground state energy is then $$\delta E^{(1)} = \int d^3 x \frac{\lambda}{4!} <0|\phi^4 (x)|0> = \frac{\lambda}{8} D_F (0)^2 \int d^3 x .$$ This is just a vacuum to vacuum diagram (aka. A bubble diagram). [/QUOTE]
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Physics
Quantum Physics
Vacuum energy density after spontaneous symmetry breaking
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