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Lectures on Cosmology and Action at a Distance Electrodynamics cover

This book describes the subject of electrodynamics at classical as well as quantum level, developed as an interaction at a distance. Thus it has electric charges interacting with one another directly and not through the medium of a field. In general such an interaction travels forward and backward in time symmetrically, thus apparently violating the principle of causality. It turns out, however, that in such a description the cosmological boundary conditions become very important. The theory therefore works only in a cosmology with the right boundary conditions; but when it does work it is free from the divergences that plague a quantum field theory.

Sample Chapter(s)
A: From Newton to Gauss (148 KB)
B: Maxwell's Field Theory (303 KB)
C: The Formula for Delayed Action (242 KB)


Contents:
  • Classical Electrodynamics:
    • Historical Background
    • The Problems of Classical Field Theory
    • The Wheeler-Feynman Absorber Theory of Radiation
    • Action at a Distance in Curved Spacetime
    • Cosmological Models
    • Response of the Expanding Universe
  • Quantum Electrodynamics Non-Relativistic Processes:
    • The Path-Integral Approach to Quantum Mechanics
    • Perturbation Theory and the Influence Functional
    • Absorption and Stimulated Emission
    • Spontaneous Emission
    • The Complete Influence Functional and the Level Shift Formula
  • Relativistic Quantum Electrodynamics:
    • Path Integrals for Relativisitc Particles
    • Many Particle Interactions and the Quantum Response of the Universe
    • Self Action
    • Cosmological Cut-Offs to Radiative Corrections
    • Concluding Remarks

Readership: Undergraduates and research students in physics and cosmology.