The aim of this work is to introduce and investigate 3 distinct problems in Algebraic Quantum Field Theory whose solution relies on (higher) multicategorical methods. More precisely, we will discuss a model-independent comparison between Algebraic Quantum Field Theory and Factorization Algebras, a 2-categorical notion of algebraic quantum field theory more sensitive to global aspects of gauge theories than previous approaches and a ``smoothness axiom'' for algebraic quantum field theories encoding ``smooth responses of observable algebras'' to ``smooth variations of spacetimes''
This text focuses on the algebraic formulation of quantum field theory, from the introductory aspect...
This paper proposes a refinement of the usual concept of algebraic quantum field theories (AQFTs) to...
In this thesis several homotopical aspects of linear algebraic quantum field theory are treated. The...
The aim of this work is to introduce and investigate 3 distinct problems in Algebraic Quantum Field ...
This paper develops a concept of 2-categorical algebraic quantum field theories (2AQFTs) that assign...
Algebraic quantum field theory provides a general, mathematically precise description of the structu...
A brief overview of the recent developments of operadic and higher categorical techniques in algebra...
A brief overview of the recent developments of operadic and higher categorical techniques in algebra...
Several topics of quantum field theory are discussed within the algebraic context. It is shown that ...
We generalize the operadic approach to algebraic quantum field theory [arXiv:1709.08657] to a broade...
This paper proposes a refinement of the usual concept of algebraic quantum field theories (AQFTs) to...
Motivated by gauge theory, we develop a general framework for chain complex valued algebraic quantum...
This paper proposes a refinement of the usual concept of algebraic quantum field theories (AQFTs) to...
We construct a colored operad whose category of algebras is the category of algebraic quantum field ...
This paper develops a concept of 2-categorical algebraic quantum field theories (2AQFTs) that assign...
This text focuses on the algebraic formulation of quantum field theory, from the introductory aspect...
This paper proposes a refinement of the usual concept of algebraic quantum field theories (AQFTs) to...
In this thesis several homotopical aspects of linear algebraic quantum field theory are treated. The...
The aim of this work is to introduce and investigate 3 distinct problems in Algebraic Quantum Field ...
This paper develops a concept of 2-categorical algebraic quantum field theories (2AQFTs) that assign...
Algebraic quantum field theory provides a general, mathematically precise description of the structu...
A brief overview of the recent developments of operadic and higher categorical techniques in algebra...
A brief overview of the recent developments of operadic and higher categorical techniques in algebra...
Several topics of quantum field theory are discussed within the algebraic context. It is shown that ...
We generalize the operadic approach to algebraic quantum field theory [arXiv:1709.08657] to a broade...
This paper proposes a refinement of the usual concept of algebraic quantum field theories (AQFTs) to...
Motivated by gauge theory, we develop a general framework for chain complex valued algebraic quantum...
This paper proposes a refinement of the usual concept of algebraic quantum field theories (AQFTs) to...
We construct a colored operad whose category of algebras is the category of algebraic quantum field ...
This paper develops a concept of 2-categorical algebraic quantum field theories (2AQFTs) that assign...
This text focuses on the algebraic formulation of quantum field theory, from the introductory aspect...
This paper proposes a refinement of the usual concept of algebraic quantum field theories (AQFTs) to...
In this thesis several homotopical aspects of linear algebraic quantum field theory are treated. The...