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New Lagrangian and Hamiltonian Methods in Field Theory

New Lagrangian and Hamiltonian Methods in Field Theory PDF Author: G. Giachetta
Publisher: World Scientific
ISBN: 9789810215873
Category : Science
Languages : en
Pages : 472

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Book Description
This book incorporates 3 modern aspects of mathematical physics: the jet methods in differential geometry, Lagrangian formalism on jet manifolds and the multimomentum approach to Hamiltonian formalism. Several contemporary field models are investigated in detail.This is not a book on differential geometry. However, modern concepts of differential geometry such as jet manifolds and connections are used throughout the book. Quadratic Lagrangians and Hamiltonians are studied at the general level including a treatment of Hamiltonian formalism on composite fiber manifolds. The book presents new geometric methods and results in field theory.