A Modern Introduction to Quantum Field TheoryThe importance and the beauty of modern quantum field theory resides in the power and variety of its methods and ideas, which find application in domains as different as particle physics, cosmology, condensed matter, statistical mechanics and critical phenomena. This book introduces the reader to the modern developments, assuming no previous knowledge of quantum field theory. Along with standard topics like Feynman diagrams, the book discusses effective lagrangians, renormalization group equations, the path integral formulation, spontaneous symmetry breaking and non-abelian gauge theories. The inclusion of more advanced topics will also make this a most useful book for graduate students and researchers. |
Contents
1 | |
2 Lorentz and Poincaré symmetries in QFT | 13 |
3 Classical field theory | 43 |
4 Quantization of free fields | 83 |
5 Perturbation theory and Feynman diagrams | 109 |
6 Crosssections and decay rates | 155 |
7 Quantum electrodynamics | 180 |
8 The lowenergy limit of the electroweak theory | 195 |
9 Path integral quantization | 219 |
10 Nonabelian gauge theories | 243 |
11 Spontaneous symmetry breaking | 253 |
12 Solutions to exercises | 266 |
285 | |
287 | |
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Common terms and phrases
algebra amplitude atom boson charge conjugation classical components compute conserved consider coupling constant covariant cross-section cutoff decay defined degrees of freedom denote dimensions Dirac equation Dirac spinor divergence electromagnetic field electron energy energy–momentum equations of motion Euclidean explicitly factor fermion Feynman Feynman diagrams finite four-vector gauge field gauge invariance global symmetry graph Green’s functions hadronic Hamiltonian identity Lagrangian left-handed lepton Lorentz group Lorentz invariant mass term massless matrix element momenta momentum space neutrino non-relativistic Observe one-particle operator parameter parity particle path integral perturbative photon physical pion Poincaré group propagator quantization quantum field theory quantum mechanics quarks relativistic renormalization representation rest frame rotations scalar field scattering Section ſº solution spatial spin symmetry tensor theorem tion transformation vacuum vector vertex wave function Weyl spinors zero