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Structural Algebraic Quantum Field Theory: Particles with Structure
AbstractConventional quantum field theory is a method for studying structureless elementary particles. Non-elementary particles, on the other hand,...
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New model category structures for algebraic quantum field theory
In this paper, we define and compare several new Quillen model structures which present the homotopy theory of algebraic quantum field theories. In...
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Topological Quantum Field Theory and Algebraic Structures*
These notes are from lectures given at the Quantum field theory and noncommutative geometry workshop at Tohoku University in Sendai, Japan from...
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Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory
We construct and compare two alternative quantizations, as a time-orderable prefactorization algebra and as an algebraic quantum field theory valued...
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An algebraic formula for two loop renormalization of scalar quantum field theory
We find a general formula for the two-loop renormalization counterterms of a scalar quantum field theory with interactions containing up to two...
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Nonlocal quantum field theory and quantum entanglement
We discuss the nonlocal nature of quantum mechanics and the link with relativistic quantum mechanics such as formulated by quantum field theory. We...
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C*-algebraic approach to interacting quantum field theory: inclusion of Fermi fields
We extend the C*-algebraic approach to interacting quantum field theory, proposed recently by Detlev Buchholz and one of us (KF) to Fermi fields. The...
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Eliminating the ‘Impossible’: Recent Progress on Local Measurement Theory for Quantum Field Theory
Arguments by Sorkin (Impossible measurements on quantum fields. In: Directions in general relativity: proceedings of the 1993 International...
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Perturbative expansions and the foundations of quantum field theory
Perturbative expansions have played a peculiarly central role in quantum field theory, not only in extracting empirical predictions but also in...
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Algebraic Structures Underlying Quantum Independences: Theory and Applications
The present survey results from the will to reconcile two approaches to quantum probabilities: one rather physical and coming directly from quantum...
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Introduction to Perturbative Quantum Field Theory
The first chapter is a short, but largely self-contained, introduction to perturbative quantum field theory and its description in terms of Feynman...
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Spacetimes Categories and Disjointness for Algebraic Quantum Field Theory
An algebraic quantum field theory (AQFT) may be expressed as a functor from a category of spacetimes to a category of algebras of observables....
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Non-trivial Bundles and Algebraic Classical Field Theory
Inspired by the recent algebraic approach to classical field theory, we propose a more general setting based on the manifold of smooth sections of a...
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Quantum Field Theory on Causal Sets
We give a broad overview of a construction of a theory for matter on fixed causal set backgrounds. We introduce the Sorkin-Johnston formalism for a...
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Universal fine grained asymptotics of free and weakly coupled quantum field theory
We give a rigorous proof that in any free quantum field theory with a finite group global symmetry G, on a compact spatial manifold, at sufficiently...
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Causal Lie Products of Free Fields and the Emergence of Quantum Field Theory
All causal Lie products of solutions of the Klein-Gordon equation and the wave equation in Minkowski space are determined. The results shed light on...
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The Real Scalar Quantum Field Theory
In this chapter we will examine an example of a relativistic quantum field theory. It contains a single, real scalar field and it will have spacetime...
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The quantum theory of gravitation, effective field theories, and strings: yesterday and today
This paper analyzes the effective field theory perspective on modern physics through the lens of the quantum theory of gravitational interaction. The...
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Quantum Field Theory
We introduced Feynman integrals in chapter , building only on the knowledge of special relativity and graphs. We did not discuss how Feynman...
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Investigating the new perspectives of Caudrey–Dodd–Gibbon equation arising in quantum field theory
The main purpose of the paper is obtaining the analytical results for beta fractional Caudrey–Dodd–Gibbon equation which is used to resolve complex...
