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- D Buchholz, R Verch
- 1995

The concept of scaling algebra provides a novel framework for the general structural analysis and classification of the short distance properties of algebras of local observables in relativistic quantum field theory. In the present article this method is applied to the simple example of massive free field theory in s = 1, 2 and 3 spatial dimensions. Not… (More)

- Detlev Buchholz
- 2004

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.… (More)

- Detlev Buchholz, Stephen J. Summers
- 2008

Recently, Grosse and Lechner introduced a novel deformation procedure for non–interacting quantum field theories, giving rise to interesting examples of wedge–localized quantum fields with a non–trivial scattering matrix. In the present article we outline an extension of this procedure to the general framework of quantum field theory by introducing the… (More)

- Detlev Buchholz, Olaf Dreyer, Martin Florig, Stephen J. Summers
- 1998

A condition of geometric modular action is proposed as a selection principle for physically interesting states on general space-times. This condition is naturally associated with transformation groups of partially ordered sets and provides these groups with projective representations. Under suitable additional conditions, these groups induce groups of point… (More)

- Detlev Buchholz, Stephen J. Summers
- 2003

Employing the algebraic framework of local quantum physics,vacuum states in Minkowski space are distinguished by a property of geometric modular action. This property allows one to construct from any locally generated net of observables and corresponding state a continuous unitary representation of the proper Poincaré group which acts covariantly on the net… (More)

- H J Borchers, D Buchholz
- 1999

Starting from the assumption that vacuum states in de Sitter space look for any geodesic observer like equilibrium states with some a priori arbitrary temperature, an analysis of their global properties is carried out in the algebraic framework of local quantum physics. It is shown that these states have the Reeh–Schlieder property and that any primary… (More)

- Detlev Buchholz, Jens Mund, Stephen J. Summers, John E. Roberts
- 2001

A novel method of transplanting algebras of observables from de Sitter space to a large class of Robertson–Walker space–times is exhibited. It allows one to establish the existence of an abundance of local nets on these spaces which comply with a recently proposed condition of geometric modular action. The corresponding modular symmetry groups appearing in… (More)

- Detlev Buchholz
- 1995

A general method is presented which allows one to determine from the local gauge invariant observables of a quantum field theory the underlying particle and symmetry structures appearing at the lower (ultraviolet) end of the spatio–temporal scale. Particles which are confined to small scales, i.e., do not appear in the physical spectrum, can be uncovered in… (More)

- S. Abachi, B. Abbott, +167 authors A. V. Kotwal
- 1997

- Detlev Buchholz
- 1996

For any given algebra of local observables in relativistic quantum field theory there exists an associated scaling algebra which permits one to introduce renormalization group transformations and to construct the scaling (short distance) limit of the theory. On the basis of this result it is discussed how the phase space properties of a theory determine the… (More)