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Functional Integrals and Adiabatic Limits in Field Theory

Deser, S. (1955) Functional Integrals and Adiabatic Limits in Field Theory. Physical Review, 99 (1). pp. 325-327. ISSN 0031-899X. doi:10.1103/PhysRev.99.325.

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The behavior of a system of coupled fields as some of the particles become very heavy is investigated. By means of a technique expressing the relevant exact Green's functions as functional integrals, the limiting process need only be performed for bare one-particle propagators to get the result for the exact functions. It is shown that the resultant propagators are those for the remaining finite masses moving in external fields generated by the heavy particles acting as static point sources. The situation in which the coupling to the intermediate fields has no simple nonrelativistic limit is also discussed.

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Deser, S.0000-0001-9285-9434
Additional Information:© 1955 American Physical Society. (Received March 26, 1955) I wish to thank Dr. Robert Oppenheimer and the Institute for Advanced Study for their hospitality, and Dr. R. L. Arnowitt for interesting conversations.
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Official Citation:Functional Integrals and Adiabatic Limits in Field Theory S. Deser Phys. Rev. 99, 325
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72872
Deposited By: George Porter
Deposited On:16 Dec 2016 16:27
Last Modified:11 Nov 2021 05:07

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