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On the ultraviolet behaviour of quantum fields over noncommutative manifolds
(1999-03)
By exploiting the relation between Fredholm modules and the Segal-Shale-Stinespring version of canonical quantization, and taking as starting point the first-quantized fields described by Connes' axioms for noncommutative ...
Connes' tangent groupoid and strict quantization
(1999-12)
We address one of the open problems in quantization theory recently listed by Rieffel. By developing in detail Connes' tangent groupoid principle and using previous work by Landsman, we show how to construct a strict flabby ...
Algunas fórmulas útiles para productos torcidos
(1986)
Investigamos dos modificaciones del producto cuántico o torcido de
funciones sobre el espacio de fases, y proporcionamos una colección de
fórmulas útiles en el cálculo con estos productos. La primera
modificación es la ...
Algebras of distributions suitable for phase‐space quantum mechanics. I
(1988-06-04)
The twisted product of functions on R^2N is extended to a *-algebra of
tempered distributions which contains the rapidly decreasing smooth
functions, the distributions of compact support, and all polynomials,
and moreover ...
S-matrix from the metaplectic representation
(1992-03)
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.
Correction to: The chirality theorem
(2018-10)
The chirality theorem
(2018-03)
We show how chirality of the weak interactions stems from string independence in the string-local formalism of quantum field theory.
Fourier analysis on the affine group, quantization and noncompact Connes geometries
(2008-04)
We find the Stratonovich-Weyl quantizer for the nonunimodular affine group of the line. A noncommutative product of functions on the half-plane, underlying a noncompact spectral triple in the sense of Connes, is obtained ...
Combinatorics of renormalization as matrix calculus
(2006)
We give a simple presentation of the combinatorics of renormalization in perturbative quantum field theory in terms of triangular matrices. The prescription, that may be of calculational value, is derived from first ...
Phase-space representation for Galilean quantum particles of arbitrary spin
(1988-09)
The phase-space approach to quantization is extended to incorporate
spinning particles with Galilean symmetry. The appropriate phase space
is the coadjoint orbit R^6 x S^2. From two basic principles,
traciality and ...