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Microlocal Analysis and¶Interacting Quantum Field Theories:¶Renormalization on Physical Backgrounds
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 theExpand
Modular localization and wigner particles
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 theExpand
The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes
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, calledExpand
Algebraic approach to Quantum Field Theory
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
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 withExpand
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 theExpand
The Generally Covariant Locality Principle – A New Paradigm for Local Quantum Field Theory
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 localExpand
Perturbative Algebraic Quantum Field Theory and the Renormalization Groups
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. WeExpand
Quantum Field Theory on Curved Backgrounds
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, thisExpand
Algebraic Structure of Classical Field Theory: Kinematics and Linearized Dynamics for Real Scalar Fields
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 focusesExpand
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