204 citations · 275 across the 11 of their papers we have counts for
11 papers
Unitarity, Lorentz invariance and causality in Lee-Wick theories: An asymptotically safe completion of QED
André van Tonder
We revisit the previously unsolved problems of ensuring Lorentz invariance and non-perturbative unitarity in Lee-Wick theories. We base our discussion on an ultraviolet completion…
Non-perturbative Quantization of Phantom and Ghost Theories: Relating Definite and Indefinite Representations
André van Tonder, Miquel Dorca
We investigate the non-perturbative quantization of phantom and ghost degrees of freedom by relating their representations in definite and indefinite inner product spaces. For a la…
Worldsheet Covariant Path Integral Quantization of Strings
André van Tonder
We discuss a covariant functional integral approach to the quantization of the bosonic string. In contrast to approaches relying on non-covariant operator regularizations, interest…
Coordinate-invariant Path Integral Methods in Conformal Field Theory
André van Tonder
We present a coordinate-invariant approach, based on a Pauli-Villars measure, to the definition of the path integral in two-dimensional conformal field theory. We discuss some adva…
A Lambda Calculus for Quantum Computation
Andre van Tonder
The classical lambda calculus may be regarded both as a programming language and as a formal algebraic system for reasoning about computation. It provides a computational model equ…
Cohomology and Decomposition of Tensor Product Representations of SL(2,R)
Andre van Tonder
We analyze the decomposition of tensor products between infinite dimensional (unitary) and finite-dimensional (non-unitary) representations of SL(2,R). Using classical results on i…