Modern functional quantum field theory: summing Feynman graphs

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A monograph, which can also be used as a textbook for graduate students, this book contains new and novel applications of Schwinger's well-known functional solutions, made possible by the use of Fradkin's little-known functional representations, together with recent research work of the author and his colleagues.

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Title Statements

Full title :Modern functional quantum field theory : summing Feynman graphs / Herbert M. Fried.

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Edition Statements

Publication Date:2014.

Publication Statements

Publisher(s):World Scientific Pub. Co
Place of Publication:Singapore
Language:eng
Publication Date:2014.

The Physical Object

Description:1 ressource en ligne (xiv, 266 pages) : : illustrations

Edition Identifiers

ISBN:9789814415897, 9814415898
oclc:on1139284608
Dewey Decimal:530.143

Basic preliminaries. 1. Quantum field theory -- why and how. 1.1. Schwinger's action principle. 1.2. Free-field kinematics -- 2. Functional preliminaries. 2.1. Functional differentiation. 2.2. Linear translation. 2.3. Quadratic (Gaussian) translation. 2.4. Functional integration. 2.5. Cluster decomposition. 2.6. Two useful relations -- 3. Functional field theory. 3.1. The generating functional. 3.2. A gauge digression: SU(N)-QCD. 3.3. Coupled fermion and boson fields. 3.4. Fields at the same point -- 4. The generating functional and the S-matrix. 4.1. The generating functional operator. 4.2. Asymptotic conditions. 4.3. The S-matrix. 4.4. A Bremsstrahlung example -- 5. Schwinger/Fradkin representations. 5.1. Formalism. 5.2. Gauge structure. 5.3. The Bloch-Nordsieck -- IR -- eikonal approximation. 5.4. A convenient reformulation -- Quantum electrodynamics. 6. Radiative corrections of the photon propagator. 6.1. Functional approach to the photon propagator. 6.2. Higher-order radiative correction. 6.3. The DP model for a single closed fermion loop. 6.4. The extended DP model, and the finiteness of Z[symbol]. 6.5. Summary -- 7. Radiative corrections to the electron propagator. 7.1. Int…