131 citations · 636 across the 33 of their papers we have counts for
38 papers
Perturbative algebraic quantum field theory and beyond
Romeo Brunetti, Klaus Fredenhagen, Kasia Rejzner
In this review, we summarize the main ideas of perturbative algebraic quantum field theory, which is a rigorous framework combining some of the Haag-Kastler axioms with perturbativ…
Locally covariant approach to effective quantum gravity
Romeo Brunetti, Klaus Fredenhagen, Kasia Rejzner
Despite the fact that quantum gravity is non-renormalisable, a consistent and mathematically rigorous construction of a perturbation series is possible. This is based on the use of…
The observables of a perturbative algebraic quantum field theory form a factorization algebra
Owen Gwilliam, Kasia Rejzner
We demonstrate that perturbative algebraic QFT methods, as developed by Fredenhagen and Rejzner, naturally yields a factorization algebras of observables for a large class of Loren…
Unitary, anomalous Master Ward Identity and its connections to the Wess-Zumino condition, BV formalism and -algebras
Romeo Brunetti, Michael Dütsch, Klaus Fredenhagen +1
The C*-algebraic construction of QFT by Buchholz and one of us relies on the causal structure of spacetime and a classical Lagrangian. In one of our previous papers we have introdu…
Quantization, dequantization, and distinguished states
Eli Hawkins, Christoph Minz, Kasia Rejzner
Geometric quantization is a natural way to construct quantum models starting from classical data. In this work, we start from a symplectic vector space with an inner product and --…
Chirality in 2d pAQFT
Sam Crawford, Kasia Rejzner, Benoit Vicedo
In this article, which builds upon the work done in our previous paper, the chiral aspects of 2dcft on globally hyperbolic Lorentzian manifolds are developed and explored within th…
An algebraic QFT approach to the Wetterich equation on Lorentzian manifolds
Edoardo D'Angelo, Nicolò Drago, Nicola Pinamonti +1
We discuss the scaling of the effective action for the interacting scalar quantum field theory on generic spacetimes with Lorentzian signature and in a generic state (including vac…
The unitary Master Ward Identity: Time slice axiom, Noether's Theorem and Anomalies
Romeo Brunetti, Michael Dütsch, Klaus Fredenhagen +1
The C*-algebraic formulation of generic interacting quantum field theories, recently presented by Detlev Buchholz and one of the authors (KF), is enriched by a unitary version of t…
Lorentzian 2d CFT from the pAQFT perspective
Sam Crawford, Kasia Rejzner, Benoit Vicedo
We provide a detailed construction of the quantum theory of the massless scalar field on 2-dimensional, globally-hyperbolic (in particular, Lorentzian) manifolds using the framewor…
Equilibrium states for the massive Sine-Gordon theory in the Lorentzian signature
Dorothea Bahns, Nicola Pinamonti, Kasia Rejzner
In this paper we investigate the massive Sine-Gordon model in the ultraviolet finite regime in thermal states over the two-dimensional Minkowski spacetime. We combine recently deve…
-algebraic approach to interacting quantum field theory: Inclusion of Fermi fields
Romeo Brunetti, Michael Dütsch, Klaus Fredenhagen +1
We extend the -algebraic approach to interacting quantum field theory, proposed recently by Detlev Buchholz and one of us (KF) to Fermi fields. The crucial feature of our appr…
Local Structure of Sprinkled Causal Sets
Christopher J. Fewster, Eli Hawkins, Christoph Minz +1
We describe numerical and analytical investigations of causal sets sprinkled into spacetime manifolds. The first part of the paper is a numerical study of finite causal sets sprink…
BV quantization in perturbative algebraic QFT: Fundamental concepts and perspectives
Kasia Rejzner
This paper is mainly based on the talk I presented at the meeting "The Philosophy and Physics of Noether's Theorems" that took place 5-6 October 2018, but it also contains some ori…
Asymptotic symmetries in the BV-BFV formalism
Kasia Rejzner, Michele Schiavina
We show how to derive asymptotic charges for field theories on manifolds with "asymptotic" boundary, using the BV-BFV formalism. We also prove that the conservation of said charges…
Algebraic Classical and Quantum Field Theory on Causal Sets
Edmund Dable-Heath, Christopher J. Fewster, Kasia Rejzner +1
The framework of perturbative algebraic quantum field theory (pAQFT) is used to construct QFT models on causal sets. We discuss various discretised wave operators, including a new…
Locality and causality in perturbative AQFT
Kasia Rejzner
In this paper we discuss how seemingly different notions of locality and causality in quantum field theory can be unified using a non-abelian generalization of the Hammerstein prop…
Algebraic Quantum Field Theory -- an introduction
Christopher J. Fewster, Kasia Rejzner
We give a pedagogical introduction to algebraic quantum field theory (AQFT), with the aim of explaining its key structures and features. Topics covered include: algebraic formulati…
Local nets of von Neumann algebras in the Sine-Gordon model
Dorothea Bahns, Klaus Fredenhagen, Kasia Rejzner
The Haag-Kastler net of local von Neumann algebras is constructed in the ultraviolet finite regime of the sine-Gordon model, and its equivalence with the massive Thirring model is…
Relating nets and factorization algebras of observables: free field theories
Owen Gwilliam, Kasia Rejzner
In this paper we relate two mathematical frameworks that make perturbative quantum field theory rigorous: perturbative algebraic quantum field theory (pAQFT) and the factorization…
The Star Product in Interacting Quantum Field Theory
Eli Hawkins, Kasia Rejzner
We propose a new formula for the star product in deformation quantization of Poisson structures related in a specific way to a variational problem for a function , interpreted a…
The Quantum Sine Gordon model in perturbative AQFT
Dorothea Bahns, Kasia Rejzner
We study the Sine-Gordon model with Minkowski signature in the framework of perturbative algebraic quantum field theory. We calculate the vertex operator algebra braiding property.…
Cosmological perturbation theory and quantum gravity
Romeo Brunetti, Klaus Fredenhagen, Thomas-Paul Hack +2
It is shown how cosmological perturbation theory arises from a fully quantized perturbative theory of quantum gravity. Central for the derivation is a non-perturbative concept of g…
Effective quantum gravity observables and locally covariant QFT
Kasia Rejzner
Perturbative algebraic quantum field theory (pAQFT) is a mathematically rigorous framework that allows to construct models of quantum field theories on a general class of Lorentzia…
Renormalization and periods in perturbative Algebraic Quantum Field Theory
Kasia Rejzner
In this paper I give an overview of mathematical structures appearing in perturbative algebraic quantum field theory (pAQFT) in the case of the massless scalar field on Minkowski s…