## 55 Citations

String-Localized Quantum Fields and Modular Localization

- Physics, Mathematics
- 2005

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.…

String-Localized Covariant Quantum Fields

- Mathematics, Physics
- 2005

We present a construction of string-localized covariant free quantum fields for a large class of irreducible (ray) representations of the Poincare group. Among these are the representations of mass…

Pauli-Lubanski limit and stress-energy tensor for infinite-spin fields

- Physics
- 2017

A bstractString-localized quantum fields transforming in Wigner’s infinite-spin representations were originally introduced in [18, 19]. We construct these fields as limits of fields of finite mass m…

String-Localized Quantum Fields, Modular Localization, and Gauge Theories

- Physics
- 2009

The concept of modular localization introduced by Brunetti, Guido and Longo, and Schroer, can be used to construct quantum fields. It combines Wigner’s particle concept with the Tomita-Takesaki…

The Effective Theory of Strings

- Physics
- 2014

We show that the Nambu–Goto string, and its higher dimensional generalizations, can be quantized, in the sense of an effective theory, in any dimension of the target space. The crucial point is to…

Massless, string localized quantum fields for any helicity

- Mathematics
- 2012

For any massless, irreducible representation of the covering of the proper, orthochronous Poincare group we construct covariant, free quantum fields that generate the representation space from the…

The continuous spin limit of higher spin field equations

- Physics
- 2006

We show that the Wigner equations describing the continuous spin representations can be obtained as a limit of massive higher-spin field equations. The limit involves a suitable scaling of the wave…

Modular Nuclearity and Localization

- Mathematics
- 2004

Abstract.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…

Continuous spin particles from a tensionless string theory

- Physics, Mathematics
- 2006

It has been shown that the massless irreducible representations of the Poincare group with continuous spin can be obtained from a classical point particle action which admits a generalization to a…

An Algebraic Jost-Schroer Theorem for Massive Theories

- Mathematics
- 2012

We consider a purely massive local relativistic quantum theory specified by a family of von Neumann algebras indexed by the space-time regions. We assume that, affiliated with the algebras associated…

## References

SHOWING 1-10 OF 24 REFERENCES

Zero-mass infinite spin representations of the Poincaré group and quantum field theory

- Physics
- 1970

It is shown that a local quantized field with a manifestly covariant transformation law under the Poincaré group cannot have nonvanishing matrix elements between the vacuum and an irreducible…

Modular localization and wigner particles

- Mathematics
- 2002

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…

Intermediate statistics in two space dimensions in a lattice-regularized Hamiltonian quantum field theory

- Mathematics, Physics
- 1990

The non-compact Abelian Higgs model with a Chern-Simons term added is investigated within a Hamiltonian formalism, regularized by a spatial lattice. Transmutted matter fields are constructed, which…

On the existence of equilibrium states in local quantum field theory

- Physics
- 1989

It is shown that any local quantum field theory admits thermodynamical equilibrium states (KMS-states) for all positive temperatures provided it satisfies a “nuclearity condition,” proposed by…

Locality and the structure of particle states

- Physics
- 1982

Starting from the principle of locality of observables we derive localization properties of massive particle states which hold in all models of relativistic quantum theory, including gauge theories.…

TWO-POINT FUNCTIONS AND QUANTUM FIELDS IN DE SITTER UNIVERSE

- Mathematics
- 1996

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…

On infravacua and the localization of sectors

- Physics
- 1998

A certain class of superselection sectors of the free massless scalar field in three space dimensions is considered. It is shown that these sectors, which cannot be localized with respect to the…