The algebraic formulation of the axioms quantum field theory
The Allegretto-Piepenbrink theorem for strongly local Dirichlet forms.
The analytic continuation of the Lippmann-Schwinger eigenfunctions, and antiunitary symmetries.
The approximate symmetries of the vacuum Einstein equations
The author reviews the theory of approximate infinitesimal symmetries of partial differential equations. Based on this and on Ibragimov's result on the general symmetries of the vacuum Einstein equation, he proposes a method to calculate approximate symmetries of the non-vacuum Einstein equation: the energy-momentum tensor is treated like a perturbation.
The Azéma martingales as components of quantum independent increment processes
The based SU(n)-instanton moduli spaces.
The base-normed space of a unital group
The Bisognano-Wichmann theorem for charged states and the conformal boundary of a black hole.
The boundary value problem for Dirac-harmonic maps
Dirac-harmonic maps are a mathematical version (with commuting variables only) of the solutions of the field equations of the non-linear supersymmetric sigma model of quantum field theory. We explain this structure, including the appropriate boundary conditions, in a geometric framework. The main results of our paper are concerned with the analytic regularity theory of such Dirac-harmonic maps. We study Dirac-harmonic maps from a Riemannian surface to an arbitrary compact Riemannian manifold. We...
The canonical structure of generalized non-linear sigma models in constrained hamiltonian formalism
The canonical structure of the supersymmetric non-linear σ model in the constrained hamiltonian formalism
The Cauchy problem for coupled Yang-Mills and scalar fields in the Lorentz gauge
The Cauchy problem for Hartree-Fock time-dependent equations
The Cauchy problem for the Gross–Pitaevskii equation
The Cauchy-Riemann equations in anticomuting variables
The classical field limit of non-relativistic bosons. II. Asymptotic expansions for general potentials
The classical limit of a class of quantum dynamical semigroups
The classical limit of reduced quantum stochastic evolutions
The classification of modular invariants revisited
The classifying space of the 1 + 1 dimensional cobordism category.