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Publications Influence

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

- R. Brunetti, K. Fredenhagen, Katarzyna 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

63 3- PDF

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

- R. Brunetti, K. Fredenhagen, P. Imani, Katarzyna 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

19 2- PDF

FERMIONIC FIELDS IN THE FUNCTIONAL APPROACH TO CLASSICAL FIELD THEORY

- Katarzyna 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

30 2- PDF

Cosmological perturbation theory and quantum gravity

- R. Brunetti, K. Fredenhagen, Thomas-Paul Hack, N. Pinamonti, Katarzyna 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

19 1- PDF

Perturbative Construction of Models of Algebraic Quantum Field Theory

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

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

28 1- PDF

Remarks on Local Symmetry Invariance in Perturbative Algebraic Quantum Field Theory

- Katarzyna 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

12 1- PDF

Batalin-Vilkovisky formalism in locally covariant field theory

- Katarzyna 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

28 1- PDF

Batalin-Vilkovisky Formalism in the Functional Approach to Classical Field Theory

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

We develop the Batalin-Vilkovisky formalism for classical field theory on generic globally hyperbolic spacetimes. A crucial aspect of our treatment is the incorporation of the principle of local… Expand

57- PDF

Batalin-Vilkovisky Formalism in Perturbative Algebraic Quantum Field Theory

- K. Fredenhagen, Katarzyna Rejzner
- Mathematics, Physics
- 24 October 2011

On the basis of a thorough discussion of the Batalin-Vilkovisky formalism for classical field theory presented in our previous publication, we construct in this paper the Batalin-Vilkovisky complex… Expand

95- PDF

Local Covariance and Background Independence

- K. Fredenhagen, Katarzyna Rejzner
- Mathematics, Physics
- 11 February 2011

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 theory. To some extent the problem can be solved… Expand

28- PDF

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