TY - BOOK AU - Fried,H.M. TI - Green's functions and ordered exponentials SN - 0521443903 (hardback) U1 - 530.15 535 PY - 2002/// CY - Cambridge, UK, New York PB - Cambridge University Press KW - Green's functions KW - Exponential functions KW - Mathematical physics N2 - DescriptionContentsResourcesCoursesAbout the Authors 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 UR - http://www.loc.gov/catdir/description/cam022/2002017417.html UR - http://www.loc.gov/catdir/toc/cam021/2002017417.html ER -