2D Quantum Gravity and SC at high Tc by Polyakov A.

By Polyakov A.

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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.

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