1/N Page: 50 of 72
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-50-
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Figure 14
is obviously governed by the electron mass. (This Is an ideali-
zation of an actu.il measurement of the mass of a charged particle;
the external fields are idealiZ'',l -ending magnets or counters.)
Of course. Fig, 14 Is just a lowcst-ordor graph, and we must
be sure that higher-order corrections cannot destroy the singularity.
We need not worry about propagator corrections, where a photon
returns to the same electron Line from which it emerged; these
merely renormalize the electron mass. Nor need we worry about
vertex corrections, where the photon goes from one side of a dot
to another; these merely renormalize the strength of the external
field. Nor need wc worry about corrections where the photon
connects electron lines separated by two or more docs; because all
the external currents are widely separated, the photon ends are
necessarily widely separated, and the etectrodynamic interaction
is negligible at large distances.
Oh,
We have reached the crux of the matter. The argument that
the location of the pole in the quark propagator is an observable
quantity rests upon the assumption that there is no confinement.
Those who look for confinement in the singularities of the quark
propagator are like the man who settled in Casablanca for the
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Coleman, S. 1/N, report, March 1, 1980; California. (https://digital.library.unt.edu/ark:/67531/metadc1070576/m1/50/: accessed April 25, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.