The Generally covariant locality principle: A New paradigm for local quantum field theory.

S-matrix theory was a proposal for replacing local quantum field theory as the basic principle of elementary particle physics.

The analytic connection Oehme found between particle and antiparticle amplitudes is the first example of a fundamental feature of local quantum field theory: the crossing property.

If the universe is described by an effective local quantum field theory down to the Planck scale, then we would expect a cosmological constant of the order of .

CPT symmetry must be preserved in any Lorentz invariant local quantum field theory with a Hermitian Hamiltonian.

Any probability distribution which obeys a condition on correlation functions called reflection positivity lead to a local quantum field theory after Wick rotation to Minkowski spacetime.

He has made important contributions to local quantum field theory, thermodynamics, and the quantum theory of many-body systems, in particular cold atomic gases and Bose-Einstein condensation.

Oehme published a proper derivation of hadronic forward dispersion relations on the basis of local quantum field theory in an article published in Il Nuovo Cimento.

The Reeh-Schlieder theorem is a result of relativistic local quantum field theory, stating that the vacuum is a cyclic vector for the field algebra of any open set in Minkowski space.

Unlike local quantum field theory, the Wightman axioms restrict the causal structure of the theory explicitly by imposing either commutativity or anticommutativity between spacelike separated fields, instead of deriving the causal structure as a theorem.

Since the end of eighties, the local quantum field theory approach due to Rudolf Haag and Daniel Kastler has been implemented in order to include an algebraic version of quantum field theory in curved spacetime.

For his purely algebraic approach, Hiley takes reference to foundations in Gérard Emch's work Algebraic Methods in Statistical Mechanics and Quantum Field Theory and in Rudolf Haag's Local quantum physics on local quantum field theory.