A note on trignometric sums arising in gauge theory.
A partial solution for Feynman's problem – a new derivation of the Weyl equation.
A possible approach to inclusion of space and time in frame fields of quantum representations of real and complex numbers.
A quantization procedure of fields based on geometric Langlands correspondence.
A single scale infinite volume expansion for three dimensional many Fermion Green's functions.
A unification of Knizhnik-Zamalodchikov and Dunkl operators via affine Hecke algebras.
A unified model of phantom energy and dark matter.
Affine Poisson groups and WZW model.
Algebraic quantum field theory and noncommutative moment problems. I
Algebraic quantum field theory and noncommutative moment problems. II
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
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 infinite level atom coupled to a heat bath.
An interpretation of the Vakulenko-Kapitanskiĭ estimate.
An introduction to quantum sheaf cohomology
In this note we review “quantum sheaf cohomology,” a deformation of sheaf cohomology that arises in a fashion closely akin to (and sometimes generalizing) ordinary quantum cohomology. Quantum sheaf cohomology arises in the study of (0,2) mirror symmetry, which we review. We then review standard topological field theories and the A/2, B/2 models, in which quantum sheaf cohomology arises, and outline basic definitions and computations. We then discuss (2,2) and (0,2) supersymmetric Landau-Ginzburg...
An introduction to some novel applications of Lie algebra cohomology in mathematics and physics.
En esta nota se presenta en primer lugar una introducción autocontenida a la cohomología de álgebras de Lie, y en segundo lugar algunas de sus aplicaciones recientes en matemáticas y física.
Analysis in complex quaternions and its connections with mathematical physics
Analyticity and Borel summability of the models. I. The dimension