Unformatted text preview: determine 5 X s =1 ± μν ~ k,s ± ρσ * ~ k,s in terms of the metric η μν , the 4momentum k μ , and the mass m . (The point of this problem is to ﬁnd the spin2 version of the spin1 formula ∑ s ± μ ~ k,s ± ν * ~ k,s =η μν + k μ k ν /m 2 .) (2) Consider a real scalar φ with mass m and a real massless vector A μ . Suppose they interact via an interaction L int = λ 4 φF μν F μν , where F μν = ∂ μ A ν∂ ν A μ . Calculate the decay rate for φ → AA , with the all polarizations of A summed over. (If you don’t see what the Feynman rules should be, do perturbation theory algebraically (that is, using contractions) to obtain the amplitude, then interpret the result diagrammatically.) 1...
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 Fall '10
 Okui
 Vector Space, Mass, General Relativity, Polarization, Fundamental physics concepts, rest frame, Feynman diagram, µν ρσ

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