Fried, H. M.
Fried, Herbert Martin
: 9780511535079 9780521443906 9780521448628 0511020627 9780511020629 0511535074 9780511037498 051103749X 051114833X 9780511148330 9780511052736 0511052731 1280416688 9781280416682 0521443903 052144862X 1107126541 9786610416684 0511177860 0511305281
: Cambridge : Cambridge University Press,
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This book presents a functional approach to the construction, use and approximation of Green's functions and their associated ordered exponentials. After a brief historical introduction, the author discusses new solutions to problems involving particle production in crossed laser fields and non-constant electric fields. Applications to problems in potential theory and quantum field theory are covered, along with approximations for the treatment of color fluctuations in high-energy QCD scattering, and a model for summing classes of eikonal graphs in high-energy scattering problems. The book also presents a variant of the Fradkin representation which suggests a new non-perturbative approximation scheme, and provides a qualitative measure of the error involved in each such approximation. Covering the basics as well as more advanced applications, this book is suitable for graduate students and researchers in a wide range of fields, including quantum field theory, fluid dynamics and applied mathematics.