Feynman Path Integrals (eBook)

Feynman path integrals and the corresponding method of stationary phase.- Processus de sauts et leurs applications dans la mecanique quantique.- The polygonal path formulation of the Feynman path integral.- Weyl quantization of classical spin systems quantum spins and Fermi systems.- Feynman path integral and theory of forms.- Caracterisation de processus par la methode des specifications locales.- Renormalization group approach to the hierarchical model.- Spinning particles and relativistic particles in the framework of Nelson's stochastic mechanics.- Construction of a class of characteristic functionals.- Topics on euclidean classical field equations with unique vacuua.- Null plane fields and automodel random processes.- Deformations et quantification.- Geometric quantisation and the Feynman integral.- Algebres tierces.- A reasonable method for computing path integrals on curved spaces.- Correspondence rules and path integrals.- Feynman-type integrals defined in terms of general cylindrical approximations.- Bounds on the Euclidean functional determinant.- Application of path integrals to non-perturbative study of massive Yang-Mills theory.- F = * F , A review.- Quartic oscillator.- Perturbation theory at large orders.- Anomalous behaviour of the effective potential.- Non-affine path algorithm in the functional integral calculus of Schrödinger kernels.- Non-Uniqqueness in writing Schrodinger kernel as a functional integral.- About the conformal properties of Yang-Mills fields.- Infrared problem and zero-mass limit in a model of non-abelian gauge theory.- Unitarity restrictions on semi-classical approximations to certain functional integrals.- On the Fokker-Planck Lagrangian.- Distribution definition of path integrals.- Functional integral representations and inequalities for bose partition functions.- Renormalization of Yang-Mills theory developed around an instanton.