Quantum Gauge Theories: Spin One and Two
An innovative new treatment of particle physics using quantum gauge theory as its basis
If regarded as operator theories, ghost fields play a very important role in quantum gauge theory, which forms the basis of modern particle physics. The author argues that all known forces in nature-electromagnetism, weak and strong forces, and gravity-follow in a unique way from the basic principle of quantum gauge invariance. Using that as a starting point, this volume discusses gauge theories as quantum theories, as part of a streamlined modern approach. The simplicity of using only this one method throughout the book allows the reader a clear understanding of the mathematical structure of nature, while this modern and mathematically well-defined approach elucidates the standard theory of particle physics without overburdening the reader with the full range of various ideas and methods. Though the subject matter requires a basic knowledge of quantum mechanics, the book's unprecedented and uncomplicated coverage will offer readers little difficulty. This revolutionary volume is suitable for graduate students and researchers alike and includes a completely new treatment of gravity as well as important new ideas on massive gauge fields.
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adjoint anomalies anticommutation antisymmetric arbitrary assume asymptotic Aµ(x calculate causal gauge invariance co-boundary commutation relations consider construction covariant deﬁned deﬁnition derivatives Dirac distribution splitting divergence fabc factor fermionic ﬁeld operators field theory ﬁnd ﬁrst term Fock space Fphys gauge charge gauge fields gauge theory gauge transformations gauge variation ghost fields gives graviton Higgs Hilbert space identity implies induction integral interaction Klein-Gordon equation Lagrangian Lie algebra Lorentz Lorentz covariance mass massless matrix means metric momentum space monomial nilpotent normalization terms normally ordered obtain order gauge invariance particles perturbation photon Phys physical subspace problem Q-vertex quantized quantum field quantum field theory quantum gauge quantum gauge theory representation result S-matrix satisﬁes scalar ﬁeld second order gauge singular order symmetric tensor field test function theorem unitary unphysical vacuum vacuum expectation value vanish vector field wave equation Wick monomials Yang-Mills theory zero