Siegel W. Fields

Ver. 3 — New York: C.N. Yang Institute for Theoretical Physics State University of New York, 2005. — 885 p. OCR. Electronic distribution.
The size of this verssion has increased another 10%. I added a new subsection on cosmology using
just the dilaton instead of general relativity, one on 1-loop graphs in N=4 Yang-Mills, another on first-quantization in gauge theory, and a whole section on string loops. I fixed some EPS figures so they come out as bright as the PDF ones (and smaller files than before). Also, more figures, exercises, references, etc. (PDF can be created from EPS natively with Mac OS X now.)Symmetry: global, spin, local, mixed.
Relativistic quantum mechanics and classical field theory. Poincar ́e group = special relativity. Enlarged spacetime symmetries: conformal and supersymmetry. Equations of motion and actions for particles and fields/wave functions. Internal symmetries: global (classifying particles), local (field interactions)Quanta: Quantization, quantum gauge theory.
Quantum aspects of field theory. Perturbation theory: expansions in loops, helicity, and internal symmetry. Although some have conjectured that nonperturbative approaches might solve renormalization difficulties found in perturbation, all evidence indicates these problems worsen instead in complete theory.Higher spin:, General relativity, supergravity, strings.
General spins. Spin 2 must be included in any complete theory of nature. Higher spins are observed experimentally for bound states, but may be required also as fundamental fields.