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Quantum Gravity from the Point of View of Locally Covariant Quantum Field Theory

- R. Brunetti, K. Fredenhagen, K. Rejzner
- Physics, Mathematics
- 5 June 2013

We construct perturbative quantum gravity in a generally covariant way. In particular our construction is background independent. It is based on the locally covariant approach to quantum field theory… Expand

The Quantum Sine-Gordon Model in Perturbative AQFT

- D. Bahns, K. Rejzner
- Mathematics, Physics
- 27 September 2016

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. We prove that in… Expand

Perturbative Algebraic Quantum Field Theory: An Introduction for Mathematicians

- K. Rejzner
- Mathematics
- 17 March 2016

Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn t require the… Expand

Algebraic Quantum Field Theory -- an introduction

- C. Fewster, K. Rejzner
- Physics, Mathematics
- 8 April 2019

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 formulations of quantum… Expand

The Locality Axiom in Quantum Field Theory and Tensor Products of $C^*$-algebras

- R. Brunetti, K. Fredenhagen, Paniz Imani, K. Rejzner
- Mathematics, Physics
- 24 June 2012

The prototype of mutually independent systems are systems which are localized in spacelike separated regions. In the framework of locally covariant quantum field theory we show that the commutativity… Expand

FERMIONIC FIELDS IN THE FUNCTIONAL APPROACH TO CLASSICAL FIELD THEORY

- K. Rejzner
- Physics, Mathematics
- 26 January 2011

In this paper, we present a formulation of the classical theory of fermionic (anticommuting) fields, which fits into the general framework proposed by Brunetti, Dutsch and Fredenhagen. It was… Expand

Cosmological perturbation theory and quantum gravity

- R. Brunetti, K. Fredenhagen, Thomas-Paul Hack, N. Pinamonti, K. Rejzner
- Physics, Mathematics
- 9 May 2016

A bstractIt 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… Expand

Perturbative Construction of Models of Algebraic Quantum Field Theory

- K. Fredenhagen, K. Rejzner
- Mathematics, Physics
- 26 March 2015

The construction of models of algebraic quantum field theory by renormalized perturbation theory is reviewed.

Remarks on Local Symmetry Invariance in Perturbative Algebraic Quantum Field Theory

- K. Rejzner
- Physics, Mathematics
- 29 January 2013

We investigate various aspects of invariance under local symmetries in the framework of perturbative algebraic quantum field theory (pAQFT). Our main result is the proof that the quantum… Expand

Batalin-Vilkovisky formalism in locally covariant field theory

- K. Rejzner
- Mathematics, Physics
- 22 November 2011

The present work contains a complete formulation of the Batalin-Vilkovisky (BV) formalism in the framework of locally covariant field theory. In the first part of the thesis the classical theory is… Expand

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