Modular Nuclearity: A Generally Covariant Perspective

Modular Nuclearity and Localization

Within the algebraic setting of quantum field theory, a condition is given which implies that the intersection of algebras generated by field operators localized in wedge–shaped regions of two–dimensional Minkowski space is non–trivial; in particular, there exist compactly localized operators in such theories which can be interpreted as local observables. The condition is based on spectral (nuc...

Computing isogeny covariant differential modular forms

We present the computation modulo p2 and explicit formulas for the unique isogeny covariant differential modular form of order one and weight χ−p−1,−p called fjet, an isogeny covariant differential modular form of order two and weight χ−p2−p,−1,−1 denoted by fjethjet, and an isogeny covariant differential modular form hjet of order two and weight χ1−p2,0,−1.

Problems of Dynamics in

Problems connected with the structural aspects of dynamics are addressed in the context of the algebraic approach to generally covariant quantum eld theory. It is argued that the dynamical structure of observables in a generally covariant context becomes fundamentally state dependent. This makes it necessary to relate the entire dynamics to state dependent automorphisms of the algebra of observ...

Pd-η 3-C6H9 complexes of the Trost modular ligand: high nuclearity columnar aggregation controlled by concentration, solvent and counterion† †Electronic supplementary information (ESI) available: Synthesis and Characterisation of compounds, and full details of aggregation studies by NMR, SANS, and MM3. See DOI: 10.1039/c5sc01181g Click here for additional data file.

Regularized Algebraic Nets for General Covariant QFT on Differentiable Manifolds

Quantum general relativity may be considered as generally covariant QFT on differentiable manifolds, without any a priori metric structure. The kinematically covariance group acts by general diffeomorphisms on the manifold and by automorphisms on the isotonic net of ∗-algebras encoding the QFT, while the algebra of observables is covariant under the dynamical subgroup of the general diffeomorph...