Quantum field theory (QFT) is widely viewed as one of the most successful theories in
science—it has predicted phenomena before they were observed in nature 2, and its …

Lost Causes in and Beyond Physics deals with a selection of research topics mostly from
theoretical physics that have been shown to be a dead-end or continue at least to be highly …

Euclidean quantum fields obtained as solutions of stochastic partial pseudo differential
equations driven by a Poisson white noise have paths given by locally integrable functions …

We rigorously define the self-adjoint one-dimensional Salpeter Hamiltonian perturbed by an
attractive $\delta-interaction, $ of strength $\beta, $ centred at the origin, by explicitly …

A well-known tool in conventional (von Neumann) quantum mechanics is the self-adjoint
extension technique for symmetric operators. It is used, eg, for the construction of Dirac …

This chapter discusses the general mathematical properties of PT‐symmetric operators
within the Krein spaces framework, focusing on the aspects of the Krein spaces theory that …

On the Essential Self-Adjointness of Wick Powers of Relativistic Fields and of Fields Unitary
Equivalent to Random Fields Page 1 Acta Applicandae Mathematicae 80: 309–334, 2004. © …

Multi-particle scattering states are constructed for massive Wigner particles in the general
operator-algebraic setting of wedge-local quantum field theory. The apparent geometrical …

Rigorous Feynman path integrals are introduced and their relations with probabilistic infinite
dimensional integrals (like Wiener integrals) explained. The corresponding rigorous …

We prove that the ground state for the Dirac equation on Minkowski space in static, smooth
external potentials satisfies the Hadamard condition. We show that it follows from a condition …