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Article #861Re: mass definition in particle physics
From: David E. Brahm
Date: Wed, 08 Apr 1992 05:35
Date: Wed, 08 Apr 1992 05:35
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s5169180@deimos.ucc.umass.edu (S5169180) asks: > What is the mass ? Why, the mass is the pole in the propagator! In a Feynman diagram, a particle passing from one interaction to the next is represented diagrammatically by a line, and algebraically by 1/(p^2-m^2). If it is kinematically allowed (by energy-momentum conservation), this factor is (usually) dominated by p^2=m^2, and we call the particle "on-shell", a "resonance", or an "external particle." [Recall here p^2 = (energy)^2 - (momentum)^2.] The location of that pole can by shifted from the "bare mass" (the thing in the Lagrangian) by loop effects (renormalization). -- Staccato signals of constant information, | -- David Brahm A loose affiliation of millionaires and | (brahm@coil.caltech.edu) billionaires and Baby ... |--------------------------- These are the days of miracle and wonder, | Disclaimer: I only speak And don't cry, Baby, don't cry, don't cry. | for the sensible folks.
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Newsgroups: sci.physics Path: arc1-ca.pugleaf.net!sparky!uunet!elroy.jpl.nasa.gov!news.claremont.edu!nntp-server.caltech.edu!brahm From: brahm@cco.caltech.edu (David E. Brahm) Subject: Re: mass definition in particle physics Message-ID: <1992Apr8.053502.5742@cco.caltech.edu> Summary: Pole in propagator Sender: news@cco.caltech.edu Nntp-Posting-Host: coil Organization: California Institute of Technology, Pasadena References: <2APR199205573297@deimos.ucc.umass.edu> Date: Wed, 8 Apr 1992 05:35:02 GMT