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Quantum Theory and Relativity - Arthur Jaffe

Quantum Theory and RelativityArthur Jaffe Harvard UniversityCambridge, MA 02138, 1, 2007 Dedicated to George MackeyAbstractElsewhere I describe some personal encounters with George Mackey [31]. Those discussionsoften returned to a common set of questions: Does physics suggest a way to combine Quantum Theory , Relativity , and interaction? To what extent can one formulate such Quantum physics as mathematics? What is the present status of Quantum field Theory ? What new mathematics emerges? What new insight does one apparently require to make further progress?

4 Arthur Jaffe order perturbation theory to an attractive Yukawa-like force V(r) = g2 4πr e −mr between two particles. Basically the form of the force law in perturbation theory arises from the form of the Green’s

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