Eugene Stefanovich Book order

This second volume of three on relativistic quantum theories of interacting charged particles discusses quantum theories of systems with variable numbers of particles. Basics of the Fock space and quantum electrodynamics are covered with an emphasis on renormalization. In contrast to the usual treatment of the topic, particles (rather than fields) are chosen as basic ingredients. ContentsFock spaceScattering in Fock spaceQuantum electrodynamicsRenormalizationUseful integralsQuantum fields of fermionsQuantum field of photonsQED interaction in terms of particle operatorsRelativistic invariance of QFTLoop integrals in QEDScattering matrix in ( v / c ) 2 approximationChecks of physical dimensions

In this third volume of three, quantum electrodynamics is formulated in the language of physical „dressed" particles. A theory where charged particles interact via instantaneous action-at-a-distance forces is constructed - without need for renormalization. This theory describes electromagnetic phenomena in terms of directly interacting charges, but in full accord with fundamental principles of relativity and causality. ContentsThree ways to look at QFTDressingWhat are advantages of dressed Hamiltonian?Coulomb potential and beyondDecaysRQD in higher ordersClassical electrodynamicsExperimental support of RQDParticles and relativitySpecial theory of relativityUnitary dressing transformationIntegral for decay lawCoulomb scattering integral in fourth orderRelativistic invariance of Coulomb–Darwin–Breit electrodynamics

This book introduces notation, terminology, and basic ideas of relativistic quantum theories. The discussion proceeds systematically from the principle of relativity and postulates of quantum logics to the construction of Poincaré invariant few-particle models of interaction and scattering. It is the first of three volumes formulating a consistent relativistic quantum theory of interacting charged particles. ContentsQuantum logicPoincaré groupQuantum mechanics and relativityObservablesElementary particlesInteractionScatteringDelta functionGroups and vector spacesGroup of rotationsLie groups and Lie algebrasHilbert spaceOperatorsSubspaces and projectionsRepresentations of groups and algebrasPseudo-orthogonal representation of Lorentz group

Focusing on the foundational concepts of relativistic quantum theory, this first volume prepares readers for a deeper exploration in the subsequent volume. It introduces essential notation, terminology, and ideas, beginning with the principle of relativity and progressing through key topics like measurements and renormalization in quantum electrodynamics. Unlike traditional texts, it emphasizes particles as the core components of the theory, treating quantum fields as mathematical tools for constructing interactions. A solid understanding of non-relativistic quantum mechanics is recommended for readers.

In this volume, an alternative framework to quantum electrodynamics, termed relativistic quantum dynamics (RQD), is developed. RQD reinterprets quantum field theory using the concept of "dressed" particles and adjusts special relativity to account for interaction-dependent boosts. This leads to a model where charged particles interact through instantaneous forces, eliminating the need for renormalization and rethinking Minkowski space-time. The theory successfully explains electromagnetic phenomena like the Lamb shift and Aharonov-Bohm effect while adhering to relativity and causality, with strong experimental backing from superluminal Coulomb field propagation.