The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics.While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

This monograph offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. These ideas are then applied principally to a rigorous treatment of some fundamental models of quantum field theory. In this self-contained presentation of the material both beginners and experts are addressed, while putting emphasis on the interdisciplinary character of the subject.

Autorentext

József L?rinczi, Loughborough University, UK; Fumio Hiroshima, University of Kyushu, Fukuoka, Japan; Volker Betz, University of Warwick, Coventry, UK.

Klappentext

This text offers a reliable and state-of-the-art introduction to the theory and method of Feynman-Kac formulas approached from three separate branches. These ideas are developed into a synthesis of applications in mathematical physics, principally in models of quantum field theory. Both beginners and experts are addressed, while putting an emphasis on the interdisciplinary character of the book. An introduction to Feynman-Kac formulas With applications to mathematical physics

Zusammenfassung
"This book is more or less self-contained, and is useful to both beginners and experts." Mathematical Reviews

"The book is targeted to advanced students and researchers. The reader will profit from many proofs spelled out in detail." Zentralblatt für Mathematik