Now showing items 1-10 of 22
S-matrix from the metaplectic representation
We show how the S-matrix for bosons in an external field can be derived directly from the infinite dimensional metaplectic representation, in terms of the classical scattering operator.
Distinguished Hamiltonian theorem for homogeneous symplectic manifolds
A diffeomorphism of a finite-dimensional flat symplectic manifold which is canonoid with respect to all linear and quadratic Hamiltonians preserves the symplectic structure up to a factor: so runs the "quadratic Hamiltonian ...
Clifford Geometry: a Seminar
Este documento fue desarrollado durante el seminario de posgrado SP--1313 (Seminario en Matemática A) en 1995; por razones de difusión, fue redactado en inglés. Se trata de una exposición de los aspectos de la geometría ...
The Kirillov picture for the Wigner particle
We discuss the Kirillov method for massless Wigner particles, usually (mis)named "continuous spin" or "infinite spin" particles. These appear in Wigner's classification of the unitary representations of the Poincaré group, ...
The chirality theorem
We show how chirality of the weak interactions stems from string independence in the string-local formalism of quantum field theory.
On the kinematics of the last Wigner particle
Wigner's particle classification provides for "continuous spin" representations of the Poincaré group, corresponding to a class of (as yet unobserved) massless particles. Rather than building their induced realizations by ...
Correction to: The chirality theorem
The Moyal representation of quantum mechanics and special function theory
It is shown that the phase-space formulation of quantum mechanics is a rich source of special function identities. The Moyal formalism is reviewed for two phase spaces: the real plane and the sphere; and this is used to ...
Moyal quantization with compact symmetry groups and noncommutative harmonic analysis
The phase-space approach to quantization of systems whose symmetry group is compact and semisimple is developed from two basic principles: covariance and traciality. This generalizes results and methods already implemented ...
Stora's fine notion of divergent amplitudes
Stora and coworkers refined the notion of divergent quantum amplitude, somewhat upsetting the standard power-counting recipe. This unexpectedly clears the way to new prototypes for free and interacting field theories of ...