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OverviewThese pages offer a simple, analytic, functional approach to non-perturbative QFT, using a frequently overlooked functional representation of Fradkin to explicitly calculate relevant portions of the Schwinger Generating Functional (GF). In QED, this corresponds to summing all Feynman graphs representing virtual photon exchange between charged particles. It is then possible to see, analytically, the cancellation of an infinite number of perturbative, UV logarithmic divergences, leading to an approximate but most reasonable statement of finite charge renormalization.A similar treatment of QCD, with the addition of a long-overlooked but simple rearrangement of the Schwinger GF which displays Manifest Gauge Invariance, is then able to produce a simple, analytic derivation of quark-binding potentials without any approximation of infinite quark masses. A crucial improvement of previous QCD theory takes into account the experimental fact that asymptotic quarks are always found in bound states; and therefore that their transverse coordinates can never be measured, nor specified, exactly. And this change of formalism permits a clear and simple realization of true quark binding, into mesons and nucleons. An extension into the QCD binding of two nucleons into an effective deuteron presents a simple, analytic derivation of nuclear forces.Finally, a new QED-based solution of Vacuum Energy is displayed as a possible candidate for Dark Energy. An obvious generalization to include Inflation, which automatically suggests a model for Dark Matter, is immediately possible; and one more obvious generalization produces an understanding of the origin of the Big Bang, and of the Birth (and Death) of a Universe. If nothing else, this illustrates the Power and the Reach of Quantum Field Theory. Full Product DetailsAuthor: Herbert Martin Fried (Brown Univ, Usa)Publisher: World Scientific Publishing Co Pte Ltd Imprint: World Scientific Publishing Co Pte Ltd Dimensions: Width: 15.70cm , Height: 2.00cm , Length: 23.40cm Weight: 0.522kg ISBN: 9789814415873ISBN 10: 9814415871 Pages: 280 Publication Date: 21 March 2014 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsFunctional Preliminaries: QFT - Why and How; Functional Field Theory; Generating Functional and the S-Matrix; Schwinger - Fradkin Representations; Perturbative Radiative Corrections to the Photon Propagator; Finite, Non-perturbative Charge Renormalization; Radiative Corrections to the Fermion Propagator; Ideal and Realistic QCD; A New, Analytic, Non-perturbative, Gauge-invariant Formulation; Effective Locality; Analytic Quark Binding; Analytic Nucleon Binding; New QED Symmetry-Breaking Model of Vacuum Energy, with application to Inflation and Dark Energy; Astrophysical Implications of Tachyon Pairs in the Quantum Vacuum: Supernova and the Schwinger Mechanism; Dark Matter; Gamma-Ray Bursts; Ultra High-Energy Cosmic Rays; Loop Annihilation and Fermi Bubbles; Final Speculations.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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