The Global Approach to Quantum Field Theory PDF ePub eBook

Books Info:

The Global Approach to Quantum Field Theory free pdf The book shows how classical field theory, quantum mechanics, and quantum field theory are related. The description is global from the outset. Quantization is explained using the Peierls bracket rather than the Poisson bracket. This allows one to deal immediately with observables, bypassing the canonical formalism of constrained Hamiltonian systems and bigger-than-physical Hilbert (or Fock) spaces. The Peierls bracket leads directly to the Schwinger variational principle and the Feynman functional integral, the latter of which is taken as defining the quantum theory. Also included are the theory of tree amplitudes and conservation laws, which are presented classically and later extended to the quantum level. The quantum theory is developed from the many-worlds viewpoint, and ordinary path integrals and the topological issues to which they give rise are studied in some detail. The theory of mode functions and Bogoliubov coefficients for linear fields is fully developed, and then the quantum theory of nonlinear fields is confronted. The effective action, correlation functions and counter terms all make their appearance at this point, and the S-matrix is constructed via the introduction of asymptotic fields and the LSZ theorem. Gauge theories and ghosts are studied in great detail. Many applications of the formalism are given: vacuum currents, anomalies, black holes, fourth-order systems, higher spin fields, the (lambda phi) to the fourth power model (and spontaneous symmetry breaking), quantum electrodynamics, the Yang-Mills field and its topology, the gravitational field, etc. Special chapters are devoted to Euclideanization and renormalization, space and time inversion, and the closed-time-path or "in-in" formalism. Emphasis is given throughout to the role of the functional-integral measure in the theory. Six helpful appendices, ranging from superanalysis to analytic continuation in dimension, are included at the end.

About Bryce S. DeWitt

Bryce DeWitt, University of Texas at Austin

Details Book

Author : Bryce S. DeWitt
Publisher : Oxford University Press
Data Published : 24 July 2014
ISBN : 0198712855
EAN : 9780198712855
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 1136 pages
Age + : 15 years
Language : English
Rating :

Reviews The Global Approach to Quantum Field Theory



17 Comments Add a comment




Related eBooks Download


  • The Global Approach to Quantum Field Theory free pdfThe Global Approach to Quantum Field Theory

    The book shows how classical field theory. quantum mechanics. and quantum field theory are related. The description is global from the outset. Quantization is explained using the Peierls bracket rather than the Poisson bracket..


  • The Quantum Theory of Fields: Volume 2, Modern Applications free pdfThe Quantum Theory of Fields: Volume 2, Modern Applications

    Available for the first time in paperback. The Quantum Theory of Fields is a self-contained. comprehensive. and up-to-date introduction to quantum field theory from Nobel Laureate Steven Weinberg..


  • The Quantum Theory of Fields: Volume 3, Supersymmetry free pdfThe Quantum Theory of Fields: Volume 3, Supersymmetry

    In this third volume of The Quantum Theory of Fields. available for the first time in paperback. Nobel Laureate Steven Weinberg continues his masterly exposition of quantum field theory..


  • An Introduction to Quantum Field Theory free pdfAn Introduction to Quantum Field Theory

    An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics. quantum electrodynamics..


  • Quantum Field Theory for the Gifted Amateur free pdfQuantum Field Theory for the Gifted Amateur

    Quantum field theory is arguably the most far-reaching and beautiful physical theory ever constructed. with aspects more stringently tested and verified to greater precision than any other theory in physics..


  • The Global Approach to Quantum Field Theory free pdfThe Global Approach to Quantum Field Theory

    . The book shows how classical field theory, quantum mechanics, and quantum field theory are related. The description is global from the outset. Quantization is explained using the Peierls bracket rat