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Leibniz Conformal Algebras of Rank Two
We classify all Leibniz conformal algebras of rank two.
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String Chop** and Time-ordered Products of Linear String-localized Quantum Fields
For a renormalizability proof of perturbative models in the Epstein–Glaser scheme with string-localized quantum fields, one needs to know what...
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Quantum Fields Obtained from Convoluted Generalized White Noise Never Have Positive Metric
It is proven that the relativistic quantum fields obtained from analytic continuation of convoluted generalized (Lévy type) noise fields have...
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Axiomatic Conformal Theory in Dimensions >2 and AdS/CT Correspondence
We formulate axioms of conformal theory (CT) in dimensions >2 modifying Segal’s axioms for two-dimensional CFT. (In the definition of...
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Constructing Hadamard States via an Extended Møller Operator
We consider real scalar field theories, whose dynamics is ruled by normally hyperbolic operators differing only by a smooth potential V . By means of...
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Local State and Sector Theory in Local Quantum Physics
We define a new concept of local states in the framework of algebraic quantum field theory (AQFT). Local states are a natural generalization of...
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The Universal C*-Algebra of the Electromagnetic Field
A universal C*-algebra of the electromagnetic field is constructed. It is represented in any quantum field theory which incorporates electromagnetism...
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The Casimir Effect from the Point of View of Algebraic Quantum Field Theory
We consider a region of Minkowski spacetime bounded either by one or by two parallel, infinitely extended plates orthogonal to a spatial direction...
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Local Anyonic Quantum Fields on the Circle Leading to Cone-Local Anyons in Two Dimensions
Using the method of implementable one-particle Bogoliubov transformations, it is possible to explicitly define a local covariant net of quantum...
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The Split Property for Locally Covariant Quantum Field Theories in Curved Spacetime
The split property expresses the way in which local regions of spacetime define subsystems of a quantum field theory. It is known to hold for general...
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Massless Asymptotic Fields and Haag–Ruelle Theory
We revisit the problem of the existence of asymptotic massless boson fields in quantum field theory. The well-known construction of such fields by...
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Asymptotic Completeness for Infraparticles in Two-Dimensional Conformal Field Theory
We formulate a new concept of asymptotic completeness for two-dimensional massless quantum field theories in the spirit of the theory of particle...
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On the Equivalence of Two Deformation Schemes in Quantum Field Theory
Two recent deformation schemes for quantum field theories on two-dimensional Minkowski space, making use of deformed field operators and Longo–Witten...
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Wedge Local Deformations of Charged Fields Leading to Anyonic Commutation Relations
The method of deforming free fields using multiplication operators on Fock space, introduced in Lechner (Commun. Math. Phys. 212:265–302,
2012 ), is... -
Local Covariance and Background Independence
One of the many conceptual difficulties in the development of quantum gravity is the role of a background geometry for the structure of quantum field...
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Deformations of Fermionic Quantum Field Theories and Integrable Models
Considering the model of a scalar massive Fermion, it is shown that by means of deformation techniques it is possible to obtain all integrable...
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On the Notion of ‘the Same Physics in All Spacetimes’
Brunetti, Fredenhagen and Verch (BFV) have shown how the notion of local covariance for quantum field theories can be formulated in terms of category...