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Microlocal Analysis and¶Interacting Quantum Field Theories:¶Renormalization on Physical Backgrounds

- R. Brunetti, K. Fredenhagen
- Mathematics
- 12 March 1999

Abstract:We present a perturbative construction of interacting quantum field theories on smooth globally hyperbolic (curved) space-times. We develop a purely local version of the… Expand

The Generally Covariant Locality Principle – A New Paradigm for Local Quantum Field Theory

- R. Brunetti, K. Fredenhagen, R. Verch
- Mathematics
- 19 December 2001

Abstract: A new approach to the model-independent description of quantum field theories will be introduced in the present work. The main feature of this new approach is to incorporate in a local… Expand

Modular localization and wigner particles

- R. Brunetti, D. Guido, R. Longo
- Mathematics
- 13 March 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… Expand

The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes

- R. Brunetti, K. Fredenhagen, M. Köhler
- Mathematics
- 27 October 1995

Quantum fields propagating on a curved spacetime are investigated in terms of microlocal analysis. We discuss a condition on the wave front set for the correspondingn-point distributions, called… Expand

Modular structure and duality in conformal quantum field theory

- R. Brunetti, D. Guido, R. Longo
- Mathematics
- 25 February 1993

Making use of a recent result of Borchers, an algebraic version of the Bisognano-Wichmann theorem is given for conformal quantum field theories, i.e. the Tomita-Takesaki modular group associated with… Expand

Perturbative Algebraic Quantum Field Theory and the Renormalization Groups

- R. Brunetti, M. Duetsch, K. Fredenhagen
- Physics
- 14 January 2009

A new formalism for the perturbative construction of algebraic quantum field theory is developed. The formalism allows the treatment of low dimensional theories and of non-polynomial interactions. We… Expand

Quantum Field Theory on Curved Backgrounds

- R. Brunetti, K. Fredenhagen
- Mathematics
- 14 January 2009

We review the status of (scalar) quantum field theory on curved spacetimes using a novel formulation in terms of non linear functionals over the smooth configuration fields. In particular, this… Expand

Algebraic Structure of Classical Field Theory: Kinematics and Linearized Dynamics for Real Scalar Fields

- R. Brunetti, K. Fredenhagen, P. Ribeiro
- MathematicsCommunications in Mathematical Physics
- 10 September 2012

We describe the elements of a novel structural approach to classical field theory, inspired by recent developments in perturbative algebraic quantum field theory. This approach is local and focuses… Expand

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

- R. Brunetti, K. Fredenhagen, K. Rejzner
- Physics
- 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

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