A Modern Approach to Functional Integration

This text takes advantage of recent developments in the theory of path integration to provide an improved treatment of quantization of systems that either have no constraints or involve constraints with demonstratively improved procedures.

A major paradigm shift in how the art of functional integration is practiced Will prove valuable to a broad audience of graduate students and researchers in physics, chemistry, mathematical physics, and applied mathematics Offers insight into contemporary research topics that cannot be found elsewhere in the textbook literature Includes exercises in most chapters Includes supplementary material: sn.pub/extras

Inhalt

Preface.- Introduction.- Part I: Stochastic Theory.- Probability.- Infinite-Dimensional Integrals.- Stochastic Variable Theory.- Part II: Quantum Theory.- Background to an Analysis of Quantum Mechanics.- Quantum Mechanical Path Integrals.- Coherent State Path Integrals.- Continuous-Time Regularized Path Integrals.- Classical and Quantum Constraints.- Part III: Quantum Field Theory.- Application to Quantum Field Theory.- A Modern Approach to Nonrenormalizable Models.- References.- Index.