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Finite Self-Energy of Classical Point Particles

Arnowitt, R. and Deser, S. and Misner, C. W. (1960) Finite Self-Energy of Classical Point Particles. Physical Review Letters, 4 (7). pp. 375-377. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20161216-134003171

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Abstract

The infinite mass self-energy difficulties of quantum field theory already occur, as is well-known, in the corresponding classical theories. Although cutoffs may be introduced to effect renormalization in both the classical and quantum cases, such procedures are physically unsatisfactory. We wish to point out in this note that at least for the static (Coulomb-type) contribution, one obtains finite results for the classical self-energies if the gravitational contribution to the total energy is included. Furthermore, it will be shown rigorously (in the static case) that the natural cutoff furnished by general relativity implies that all the mass of a point charge arises from its total self-field and that a neutral particle has no mass.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevLett.4.375DOIArticle
http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.4.375PublisherArticle
ORCID:
AuthorORCID
Deser, S.0000-0001-9285-9434
Additional Information:© 1960 American Physical Society. (Received February 10, 1960) Supported in part by a National Science Foundation Research Grant.
Funders:
Funding AgencyGrant Number
NSFUNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20161216-134003171
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20161216-134003171
Official Citation:Finite Self-Energy of Classical Point Particles R. Arnowitt, S. Deser, and C. W. Misner Phys. Rev. Lett. 4, 375
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72917
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:16 Dec 2016 23:33
Last Modified:13 Feb 2019 18:03

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