String-Localized Quantum Fields and Modular Localization

@article{Mund2005StringLocalizedQF,
  title={String-Localized Quantum Fields and Modular Localization},
  author={Jens Mund and Bert Schroer and Jakob Yngvason},
  journal={Communications in Mathematical Physics},
  year={2005},
  volume={268},
  pages={621-672}
}
We study free, covariant, quantum (Bose) fields that are associated with irreducible representations of the Poincaré group and localized in semi-infinite strings extending to spacelike infinity. Among these are fields that generate the irreducible representations of mass zero and infinite spin that are known to be incompatible with point-like localized fields. For the massive representations and the massless representations of finite helicity, all string-localized free fields can be written as… 
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References

SHOWING 1-10 OF 73 REFERENCES
String-localized quantum fields from Wigner representations
Fermion states of a boson field
Confinement of Quarks
A mechanism for total confinement of quarks, similar to that of Schwinger, is defined which requires the existence of Abelian or non-Abelian gauge fields. It is shown how to quantize a gauge field
An Existence Proof for Interacting Quantum Field Theories with a Factorizing S-Matrix
Within the context of quantum field theories on two-dimensional Minkowski space with a factorizing S-matrix, a new construction scheme for relativistic model theories is carried out. We show that for
Locality in free string field theory
Free string field operators are constructed for the open bosonic string in the light cone gauge in any dimension. These are naturally localized by the center of mass coordinate. Relative to this
Modular localization and wigner particles
We propose a framework for the free field construction of algebras of local observables which uses as an input the Bisognano–Wichmann relations and a representation of the Poincare group on the
Polarization-Free Generators and the S-Matrix
Abstract: Polarization-free generators, i.e. “interacting” Heisenberg operators which are localized in wedge-shaped regions of Minkowski space and generate single particle states from the vacuum, are
TWO-POINT FUNCTIONS AND QUANTUM FIELDS IN DE SITTER UNIVERSE
We present a theory of general two-point functions and of generalized free fields in d-dimensional de Sitter space-time which closely parallels the corresponding Minkowskian theory. The usual
GAUGE PROBLEM IN QUANTUM FIELD THEORY. II. DIFFICULTIES OF COMBINING EINSTEIN EQUATIONS AND WIGHTMAN THEORY.
The results of a previous paper on the gauge problem in quantum electrodynamics are generalized to the gravitational case. In particular, the difficulties connected with the quantization of the
...
...