By Polyakov A.
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Additional resources for 2D Quantum Gravity and SC at high Tc
29) in which the interactions are now made explicit. The first term describes the noninteracting system, the second term is the primitive interaction, the third term describes e- -e- ore--e+ scattering, and the fourth term describes electron-photon scattering or pair annihilation. 29) is a sequence of increasingly elaborate interaction skeletons. Later terms in this series do not contain modifications of earlier ones. It should be emphasized that the iterated solution is a classification of processes in terms of increasing degree of complexity.
And µ' in (2. 73) is the anomalous magnetic moment. Let us now carry out a calculation of a specific mechanism. Consider the effect of the Coulomb interaction of the electron-positron pair emitted by an extended photon source. 54) in particular], the primitive interaction describes an extended photon source as an effective electron-positron source. Inserting this effective two-particle source into 49 PARTICLES AND SOURCES the electron-positron scattering description, one gets a contribution to the vacuum amplitude given by f (1/2) (dx)(dx')(d()ip(x)JJ°eqyµG+(x-1;) x eqyA(()G+(l;-x')eqyµip(x')D +(x-x').
29), Compton scattering is described by terms involving l/lil// 2 A1 A2 , which are f w = (dx)(dx')[ 1J1 1(x)y 0 eqyA 1 (x)G+(x-x')eqyAi(x')'/1 2(x') + 1/1 i (x)y 0 eqyAi(x)G+(x-x')eqyA 1 (x')1J1 2(x')]. 31) In these two terms, the roles of initial and final photon are reversed. Therefore w is invariant under the interchange A 1 ~A 2 • This symmetry, so called crossing symmetry, is automatically incorporated in the source theory, and is simply a consequence of particle statistics. Jdwk eµu *e-ikx.