48 citations · 178 across the 15 of their papers we have counts for
16 papers
Quantum general covariance
Christian Gaß, José M. Gracia-Bondía, Karl-Henning Rehren
The structure of quantum interactions with fields of helicity two ("gravitons") is strongly constrained by three principles: positivity (Hilbert space), covariance, and locality of…
Ensuring locality in QFT via string-local fields
José M. Gracia-Bondía, Joseph C. Várilly
String-local fields constitute a relatively new tool for solving quantum field theory, stressing and embodying locality and positivity. We examine here their usefulness -- as well…
Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
A. Addazi, J. Alvarez-Muniz, R. Alves Batista +157
The exploration of the universe has recently entered a new era thanks to the multi-messenger paradigm, characterized by a continuous increase in the quantity and quality of experim…
Revisiting the Okubo-Marshak argument
Christian Gaß, José M. Gracia-Bondía, Jens Mund
Modular localization and the theory of string-localized fields have revolutionized several key aspects of quantum field theory. They reinforce the contention that local symmetry em…
On the kinematics of the last Wigner particle
José M. Gracia-Bondía, Joseph C. Várilly
Wigner's particle classification provides for "continuous spin" representations of the Poincaré group, corresponding to a class of (as yet unobserved) massless particles. Rather th…
Stora's fine notion of divergent amplitudes
Joseph C. Várilly, José M. Gracia-Bondía
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…
Systematic renormalization at all orders in the DiffRen and improved Epstein-Glaser schemes
José M. Gracia-Bondía
Proceeding by way of examples, we update the combinatorics of the treatment of Feynman diagrams with subdivergences in differential renormalization from more recent viewpoints in E…
Why doubly excited determinants govern configuration interaction calculations of electron correlations
Carlos L. Benavides-Riveros, José M. Gracia-Bondía, Michael Springborg
Computational evidence shows that, when using natural orbitals to study (dynamical and non-dynamical) electron correlation, determinants with an odd number of excitations play a ne…
Improved Epstein-Glaser renormalization in -space versus differential renormalization
José M. Gracia-Bondía, Heidy Gutiérrez, Joseph C. Várilly
Renormalization of massless Feynman amplitudes in -space is reexamined here, using almost exclusively real-variable methods. We compute a wealth of concrete examples by means of…
Quasi-pinning and entanglement in the lithium isoelectronic series
Carlos L. Benavides-Riveros, José M. Gracia-Bondía, Michael Springborg
The Pauli exclusion principle gives an upper bound of 1 on the natural occupation numbers. Recently there has been an intriguing amount of theoretical evidence that there is a plet…
Physical Wigner functions
Carlos L. Benavides-Riveros, José M. Gracia-Bondía
In spite of their potential usefulness, the characterizations of Wigner functions for Bose and Fermi statistics given by O'Connell and Wigner himself almost thirty years ago has dr…
The lowest excited configuration of harmonium
Carlos L. Benavides-Riveros, José M. Gracia-Bondía, Joseph C. Várilly
The harmonium model has long been regarded as an exactly solvable laboratory bench for quantum chemistry [Heisenberg, 1926]. For studying correlation energy, only the ground state…
Exact phase space functional for two-body systems
José M. Gracia-Bondía, Joseph C. Várilly
The determination of the two-body density functional from its one-body density is achieved for Moshinsky's harmonium model, using a phase-space formulation, thereby resolving its p…
Density functional theory on phase space
Philippe Blanchard, José M. Gracia-Bondía, Joseph C. Várilly
Forty-five years after the point de départ [1] of density functional theory, its applications in chemistry and the study of electronic structures keep steadily growing. However, th…
The Phase of the Scattering Matrix
José M. Gracia-Bondía
Vacuum polarization in external fields is treated by way of calculating - exactly and then perturbatively - the phase of the quantum scattering matrix in the Shale-Stinespring appr…
Connes' Tangent Groupoid and Strict Quantization
José F. Carinena, Jesús Clemente-Gallardo, Eduardo Follana +3
We address one of the open problems in quantization theory recently listed by Rieffel. By developping in detail Connes' tangent groupoid principle and using previous work by Landsm…