this scenario is due to Feynman h Now forget about neutrinos Could you have the

# This scenario is due to feynman h now forget about

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out their left hand, why should you not shake? (this scenario is due to Feynman).h) Now forget about neutrinos. Could you have the aliens distinguish right from leftby actually sending them circularly polarized light, for example using polarizedradio waves for your intergalactic telephone?i) Now suppose you can use theβ-decay experimentandsend them polarized light.In this case, can you figure out if there would be any danger in shaking theirhands?3. *Path Integralsa) WeshowedthattheSchwinger-Dysonequationsquare(0|T{φ(x)φ(0)}|0)=(0|T{squareφ(x)φ(0)}|0)+4(x)holds for free fields using canonical quantization.Now show that it holds using the path integral.b) We showed that correlation functions of gauge-invariant operators come out thesame if we add a termξ(μAμ)2to the Lagrangian. Would they come out thesame if we added a term of the formξ(μAμ)4? What about a term of the formξAμ2? Page 2/2