85 citations · 517 across the 38 of their papers we have counts for
4 papers · 1 filter
Scattering in a Euclidean formulation of relativistic quantum mechanics
W. N. Polyzou, Gordon Aiello, Philip Kopp
A Euclidean formulation of relativistic quantum mechanics is discussed. Representations of the Hilbert space inner product and Poincaré generators are all expressed in terms of Euc…
Multi-scale methods in quantum field theory
W. N. Polyzou, Tracie Michlin, Fatih Bulut
Daubechies wavelets are used to make an exact multi-scale decomposition of quantum fields. For reactions that involve a finite energy that take place in a finite volume, the number…
Euclidean relativistic quantum mechanics - scattering asymptotic conditions
W. N. Polyzou, Gordon Aiello
We discuss the formulation of the scattering asymptotic condition in a relativistic quantum theory formulated in terms of reflection positive Euclidean Green functions.
Multiresolution decomposition of quantum field theories using wavelet bases
Tracie Michlin, W. N. Polyzou, Fatih Bulut
We investigate both theoretical and computational aspects of using wavelet bases to decouple physics on different scales in quantum field theory.