Algebraic topology foundations of supersymmetry and symmetry breaking in quantum field theory and quantum gravity: a review.
Algebraic Weyl system and application
Algèbre de Hopf des diagrammes de Feynman, renormalisation et factorisation de Wiener-Hopf
Algèbres et équations non-linéaires
Algèbres et faisceaux d'algèbres de Lie graduées, associées à des espaces spinoriels et fibrations spinorielles par un principe de trialité
All linear representations of the Poincaré group up to dimension 8
Almost localization and almost reducibility
Almost-graded central extensions of Lax operator algebras
Lax operator algebras constitute a new class of infinite dimensional Lie algebras of geometric origin. More precisely, they are algebras of matrices whose entries are meromorphic functions on a compact Riemann surface. They generalize classical current algebras and current algebras of Krichever-Novikov type. Lax operators for 𝔤𝔩(n), with the spectral parameter on a Riemann surface, were introduced by Krichever. In joint works of Krichever and Sheinman their algebraic structure was revealed and...
Alternative method for determining the Feynman propagator of a non-relativistic quantum mechanical problem.
An additional remark on unitary evolutions in Fock space
An adiabatic theorem for singularly perturbed hamiltonians
An alternative canonical approach to the ghost problem in a complexified extension of the Pais-Uhlenbeck oscillator.
An analog of the RAGE theorem for the impact parameter approximation to three particle scattering
An Analogue of the Classical Yang-Baxter Equation for General Algebraic Structures.
An analysis of the effect of ghost force oscillation on quasicontinuum error
The atomistic to continuum interface for quasicontinuum energies exhibits nonzero forces under uniform strain that have been called ghost forces. In this paper, we prove for a linearization of a one-dimensional quasicontinuum energy around a uniform strain that the effect of the ghost forces on the displacement nearly cancels and has a small effect on the error away from the interface. We give optimal order error estimates that show that the quasicontinuum displacement converges to the atomistic...
An analytic formula for the Jack polynomials.
An application of semi-classical analysis to the asymptotic study of the supercooling field of a superconducting material
An atomic MV-effect algebra with non-atomic center
Does there exist an atomic lattice effect algebra with non-atomic subalgebra of sharp elements? An affirmative answer to this question (and slightly more) is given: An example of an atomic MV-effect algebra with a non-atomic Boolean subalgebra of sharp or central elements is presented.
An axiomatic approach to Quantum Gauge Field Theory
In the present article we display a new constructive quantum field theory approach to quantum gauge field theory, utilizing the recent progress in the integration theory on the moduli space of generalized connections modulo gauge transformations. That is, we propose a new set of Osterwalder Schrader like axioms for the characteristic functional of a measure on the space of generalized connections modulo gauge transformations rather than for the associated Schwinger distributions. We show non-triviality...
An electrostatic inequality with applications to the constitution of matter