Integration and the Feynman-Kac formula
Introduction aux méthodes euclidiennes en théorie quantique des champs
On path integration on noncommutative geometries
We discuss a recent approach to quantum field theoretical path integration on noncommutative geometries which imply UV/IR regularising finite minimal uncertainties in positions and/or momenta. One class of such noncommutative geometries arise as `momentum spaces' over curved spaces, for which we can now give the full set of commutation relations in coordinate free form, based on the Synge world function.
On the evaluation of one-loop Feynman amplitudes in euclidean quantum field theory
Path integrals in finite sets
Physique quantique et formules de localisation
Properties of non-hermitian quantum field theories
In this paper I discuss quantum systems whose Hamiltonians are non-Hermitian but whose energy levels are all real and positive. Such theories are required to be symmetric under , but not symmetric under and separately. Recently, quantum mechanical systems having such properties have been investigated in detail. In this paper I extend the results to quantum field theories. Among the systems that I discuss are and theories. These theories all have unexpected and remarkable properties. I discuss...
Self-adjointness of lattice Yang-Mills hamiltonians and Kato's inequality with indefinite metric
Stochastic methods and differential geometry
The Feynman integral and Feynman's operational calculus: a heuristic and mathematical introduction
Асимптотика средних в неравновесной модели типа Дикке
Применение метода функционального интегрирования в теории сверхизлучения
Фейнмановские меры на локально выпуклых пространствах