4 papers
Functional Integration on Constrained Function Spaces II: Applications
J. LaChapelle
Some well-known examples of constrained quantum systems commonly quantized via Feynman path integrals are re-examined using the notion of conditional integrators introduced in [1].…
A Framework for Non-Gaussian Functional Integrals with Applications to Quantum Field Theory and Number Theory
J. LaChapelle
We define and develop a framework to understand functional integrals as countable families of Banach-valued Haar integrals on locally compact topological groups. The definition for…
Mellin-type Functional Integrals with Applications to Quantum Field Theory and Number Theory
J. LaChapelle
Conventional functional/path integrals used in physics are most often defined and understood, either explicitly or implicitly, as the infinite-dimensional analog of Fourier transfo…
A non-Standard Standard Model
J. LaChapelle
We examine the Standard Model under the electroweak symmetry group subject to the Lie algebra condition $\mathfrak{u}_{EW}(2)\not\cong \mathfrak{su}_{I}(2)\oplus \mathf…