By Richard D Field

ISBN-10: 0201142953

ISBN-13: 9780201142952

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If one chooses instead the point fi then the two couplings are related (to lowest order) by _(1 2) - alog(Q2 /JJ 2) = (1_2) - alog(Q2/fi2), a. JJ a. 2 . 1. ). 1. 2 . 2 . h ( I. 5 Fermi for A ::::: 500 MeV. (This i.. (Q 2) beco nll'H large. (Q2) is illustrated in Fi g. 1. 5. se ill QED. t a definite place in space. It is diffusely spread out due to gluon emi ss iOIl a nd absorption. As one increases the Q2 of the incoming gluon probe, I,h r by looking at smaller and smaller spatial distances, it becomes less likely to find the "charge" (red in Fig.

2 (a) Amplitude for the "decay" of a virtual photon into a Il+ Il - pair. (b) Amplitude for an e+ e- pair to annihilate and produce a Il+ Il- pair by tilt> production and "decay" of a single virtual photon. l+ and the incoming e+. l- pair with a quark-antiquark pair as in Fig. 3 Born amplitude for the "decay" of a virtual photon into a quarkantiquark pair. from the sum over the three quark colors and the factor e~, where eq is the charge of the quark q in units of the electric charge e. Assuming that quarks turn into hadrons with unit probability one arrives at the famous parton model prediction for the ratio of the total cross section e+ e- -+ hadrons to the total cross section for e+ e- -+ p+ p-.

This i.. (Q 2) beco nll'H large. (Q2) is illustrated in Fi g. 1. 5. se ill QED. t a definite place in space. It is diffusely spread out due to gluon emi ss iOIl a nd absorption. As one increases the Q2 of the incoming gluon probe, I,h r by looking at smaller and smaller spatial distances, it becomes less likely to find the "charge" (red in Fig. u; Feynman diagram techniques with a coupling g. defined according to then the correct procedure is to simply replace a. by the effective couplill tJ; a.

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