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EXACT PROPAGATORS AND VERTEX PARTS 99 Field operators in the Heisenberg representation
100 The exact photon propagator
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4-momenta 4-momentum 4-vector antiparticle approximation of perturbation atom baryon bispinor calculated charge components condition conservation contribution corresponding decay probability denoted derived diagram difference dispersion relation divergence double-logarithmic electromagnetic interaction emission equation expressed in terms external field form factors formula gauge given gives hadron Hamiltonian Heisenberg Hence Hermitian hypercharge imaginary independent initial and final integral integrand interchange invariant amplitudes isomultiplets isospin isospinor isotopic leptons logarithmic magnetic mass matrix elements mesons momenta muon neutron non-relativistic nucleon obtained pair pair production parity particles perturbation theory photon lines photon propagator physical pions polarisation operator poles Problem properties quantities quantum electrodynamics quantum numbers radiative corrections reactions regularised renormalisation replaced respect result scalar scattering amplitude scattering cross-section second term self-energy spin spinors strong interactions substituting subtraction summation superspinor symmetry tensor transformation transition current unitarity variables vector vertex operator virtual photon wave amplitudes wave function weak interaction zero