QUANTUM ELECTRODYNAMICS: THEORETICAL PHYSICS
CONTENTS PARTICLES AND THEIR INTERACTIONS IN RELATIVISTIC QUANTUM MECHANICS THE PROPAGATOR THE GREEN FUNCTION 1 2 1 THE GREEN FUNCTION FOR A SYSTEM OF PARTICLES 1 2 2 THE MOMENTUM REPRESENTATION 1 2 3 VIRTUAL PARTICLES THE SCATTERING AMPLITUDE 1 3 1 HOW TO CALCULATE PHYSICAL OBSERVABLES 1 3 2 POLES IN THE SCATTERING AMPLITUDE AND THE BOUND STATES THE ELECTROMAGNETIC ?ELD PHOTONS IN AN ‘EXTERNAL ?ELD’ 1 5 1 RELATIVISTIC PROPAGATOR 1 5 2 RELATIVISTIC INTERACTION 1 5 3 RELATIVISTIC GREEN FUNCTION 1 5 4 PROPAGATION OF VECTOR PHOTONS FREE MASSIVE RELATIVISTIC PARTICLES INTERACTIONS OF SPINLESS PARTICLES INTERACTION OF SPINLESS PARTICLES WITH THE ELECTROMAGNETIC ?ELD EXAMPLES OF THE SIMPLEST ELECTROMAGNETIC PROCESSES 1 9 1 SCATTERING OF CHARGED PARTICLES 1 9 2 THE COMPTON E?ECT (PHOTON–?-MESON SCATTERING) DIAGRAMS AND AMPLITUDES IN MOMENTUM REPRESENTATION 1 10 1 PHOTON EMISSION AMPLITUDE IN MOMENTUM SPACE 1 10 2 MESON–MESON SCATTERING VIA PHOTON EXCHANGE 1 10 3 FEYNMAN RULES AMPLITUDES OF PHYSICAL PROCESSES 1 11 1 THE UNITARITY CONDITION 1 11 2 S-MATRIX 1 11 3 INVARIANT SCATTERING AMPLITUDE 1 11 4 CROSS SECTION 1 11 5 2 ?2 SCATTERING 1 11 6 ????SCATTERING 1 11 7 ?+??SCATTERING THE MANDELSTAM PLANE THE COMPTON E?ECT (FOR ?-MESONS) PARTICLES WITH SPIN 2 BASIC QUANTUM ELECTRODYNAMIC PROCESSES FREE PARTICLES WITH SPIN THE GREEN FUNCTION OF THE ELECTRON MATRIX ELEMENTS OF ELECTRON SCATTERING AMPLITUDES ELECTRON–PHOTON INTERACTION ELECTRON–ELECTRON SCATTERING 2 5 1 CONNECTION BETWEEN SPIN AND STATISTICS 2 5 2 ELECTRON CHARGE THE COMPTON E?ECT 2 6 1 COMPTON SCATTERING AT SMALL ENERGIES 2 6 2 COMPTON SCATTERING AT HIGH ENERGIES ELECTRON–POSITRON ANNIHILATION INTO TWO PHOTONS 2 7 1 ANNIHILATION NEAR THRESHOLD 2 7 2 E+E?ANNIHILATION AT VERY HIGH ENERGIES ELECTRON SCATTERING IN AN EXTERNAL ?ELD ELECTRON BREMSSTRAHLUNG IN AN EXTERNAL ?ELD 2 9 1 EMISSION OF A SOFT PHOTON BY A LOW ENERGY ELECTRON 2 9 2 SOFT RADIATION O?A HIGH ENERGY ELECTRON THE WEIZS¨ACKER–WILLIAMS FORMULA GENERAL PROPERTIES OF THE SCATTERING AMPLITUDE SYMMETRIES IN QUANTUM ELECTRODYNAMICS 3 1 1 P-CONSERVATION 3 1 2 T-INVARIANCE 3 1 3 C-INVARIANCE THE CPT THEOREM 3 2 1 PT-INVARIANT AMPLITUDES CAUSALITY AND UNITARITY 3 3 1 CAUSALITY 3 3 2 ANALYTIC PROPERTIES OF THE BORN AMPLITUDES 3 3 3 SCATTERING AMPLITUDE AS AN ANALYTIC FUNCTION 3 3 4 UNITARITY 3 3 5 BORN AMPLITUDES AND UNITARITY 3 3 6 HOW TO RESTORE PERTURBATION THEORY ON THE BASIS OF UNI- TARITY AND ANALYTICITY, OR PERTURBATION THEORY WITHOUT FEYNMAN GRAPHS RADIATIVE CORRECTIONS RENORMALIZATION HIGHER ORDER CORRECTIONS TO THE ELECTRON AND PHOTON GREEN FUNCTIONS 4 1 1 MULTILOOP CONTRIBUTIONS TO THE ELECTRON GREEN FUNCTION 4 1 2 MULTILOOP CONTRIBUTIONS TO THE PHOTON GREEN FUNCTION RENORMALIZATION OF THE ELECTRON MASS AND WAVE FUNCTION RENORMALIZATION OF THE PHOTON GREEN FUNCTION FEYNMAN RULES FOR MULTILOOP SCATTERING AMPLITUDES RENORMALIZATION OF THE VERTEX PART THE GENERALIZED WARD IDENTITY RADIATIVE CORRECTIONS TO ELECTRON SCATTERING 4 7 1 ONE-LOOP POLARIZATION OPERATOR 4 7 2 ONE-LOOP VERTEX PART THE DIRAC EQUATION IN AN EXTERNAL ?ELD 4 8 1 ELECTRON IN THE ?ELD OF A SUPERCHARGED NUCLEUS RADIATIVE CORRECTIONS TO THE ENERGY LEVELS OF HYDROGEN-LIKE ATOMS THE LAMB SHIFT DI?CULTIES OF QUANTUM ELECTRODYNAMICS RENORMALIZATION AND DIVERGENCES 5 1 1 DIVERGENCES OF FEYNMAN DIAGRAMS 5 1 2 RENORMALIZATION THE ZERO CHARGE PROBLEM IN QUANTUM ELECTRODYNAMICS REFERENCES