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
Anomalous terms in gauge theory : relevance of the structure group
Anticommutative analytic forms on fully nuclear spaces.
Application of linear hyperbolic PDE to linear quantum fields in curved spacetimes : especially black holes, time machines and a new semi-local vacuum concept
Several situations of physical importance may be modelled by linear quantum fields propagating in fixed spacetime-dependent classical background fields. For example, the quantum Dirac field in a strong and/or time-dependent external electromagnetic field accounts for the creation of electron-positron pairs out of the vacuum. Also, the theory of linear quantum fields propagating on a given background curved spacetime is the appropriate framework for the derivation of black-hole evaporation (Hawking...
Arithmetic features of rational conformal field theory