Quantum Field Theory
Quantum field theory remains among the most important tools in defining and explaining the microscopic world. Recent years have witnessed a blossoming of developments and applications that extend far beyond the theory's original scope. This comprehensive text offers a balanced treatment, providing students with both a formal presentation and numerous practical examples of calculations.
This two-part approach begins with the standard quantization of electrodynamics, culminating in the perturbative renormalization. The second part comprises functional methods, relativistic bound states, broken symmetries, nonabelian gauge fields, and asymptotic behavior. Appropriate for students and researchers in field theory, particle physics, and related areas, this treatment presupposes a background in quantum mechanics, electrodynamics, and relativity, and it assumes some familiarity with classical calculus, including group theory and complex analysis.
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algebra amplitude analytic anticommuting arbitrary asymptotic behavior boson Chap charge classical compute condition conﬁguration conservation contribution corresponding counterterms coupling constant covariant cross section deﬁned deﬁnition denote derivatives diagram dimension Dirac equation divergent electron euclidean expression external factor fermion Feynman Feynman diagrams ﬁeld ﬁeld theory ﬁnal ﬁnd ﬁnite ﬁrst ﬁxed gauge ﬁelds gauge invariance Green functions hamiltonian inﬁnite inﬁnitesimal infrared divergences instance interaction Klein-Gordon equation lagrangian loop Lorentz lowest order mass massless matrix element modiﬁed momenta nonrelativistic normalization notation obtain one-loop operator parameters particles perturbative photon Phys physical potential propagator properties quantities quantization quantum electrodynamics relation relativistic renormalizable renormalization representation result satisﬁes scalar ﬁeld scattering singularity solution spin spinors subtraction superﬁcially symmetry tensor theorem ultraviolet divergences vacuum expectation value vacuum polarization vanishes variables vector vertex Ward identities wave function zero