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

- R. Brunetti, K. Fredenhagen
- Physics, 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

Modular localization and wigner particles

- R. Brunetti, D. Guido, R. Longo
- Physics, 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, Physics
- 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

Algebraic approach to Quantum Field Theory

- R. Brunetti, K. Fredenhagen
- Physics, Mathematics
- 22 November 2004

We provide a short introduction to the main features of the algebraic approach to quantum field theories.

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

Communications in Mathematical Physics The Generally Covariant Locality Principle – A New Paradigm for Local Quantum Field Theory

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 sense the… Expand

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

- R. Brunetti, K. Fredenhagen, R. Verch
- Mathematics, Physics
- 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

Perturbative Algebraic Quantum Field Theory and the Renormalization Groups

- R. Brunetti, M. Duetsch, K. Fredenhagen
- Physics, Mathematics
- 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
- Physics, 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
- Mathematics, 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

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