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Physics
Quantum Physics
Lagrangian and Feynman diagrams
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[QUOTE="vanhees71, post: 5475925, member: 260864"] the counter term comes from self-energy diagrams, i.e., diagrams with two external lines. Power counting tells you that this is quadratically divergent. Due to Lorentz invariance, it can only depend on ##p^2## (with ##p## being the four momentum of the external lines) the counter term thus is of the form ##A p^2-Bm^2## with ##A## and ##B## dimensionless quantities. This tells you that the self-energy diagrams' counter terms contribute to ##\delta Z## and ##\delta m^2##. Your 2nd term should have a minus sign in front, by the way, i.e., it's ##...-1/2 (m^2+\delta m^2)\phi^2##. [/QUOTE]
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Forums
Physics
Quantum Physics
Lagrangian and Feynman diagrams
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