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Quantum Field Theory
This chapter covers the essentials of quantum field theory. Topics discussed include the curvature of gauge fields and the definition of the...
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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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Classical statistical simulation of quantum field theory
We propose a procedure of computing the n-point function in perturbation theory of the quantum field theory as the average over the complex Gaussian...
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Decoding quantum field theory with machine learning
We demonstrate how one can use machine learning techniques to bypass the technical difficulties of designing an experiment and translating its...
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Unfolded dynamics approach and quantum field theory
We study quantization of a self-interacting scalar field within the unfolded dynamics approach. To this end we find and analyze a classical unfolded...
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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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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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Krylov complexity in quantum field theory, and beyond
We study Krylov complexity in various models of quantum field theory: free massive bosons and fermions on flat space and on spheres, holographic...
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Euclidean Quantum Field Theory on Commutative and Noncommutative Spaces
I give an introduction to Euclidean quantum field theory from the point of view of statistical physics, with emphasis both on Feynman graphs and on...
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Symmetry-resolved entanglement entropy, spectra & boundary conformal field theory
We perform a comprehensive analysis of the symmetry-resolved (SR) entanglement entropy (EE) for one single interval in the ground state of a 1 + 1D...
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An effective field theory for non-maximal quantum chaos
In non-maximally quantum chaotic systems, the exponential behavior of out-of-time-ordered correlators (OTOCs) results from summing over exchanges of...
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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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Quantum General Relativity and Effective Field Theory
This is a review of some of the concepts and results of the effective field theory treatment of quantum general relativity. Included are lessons of...
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Spin supplementary condition in quantum field theory: covariant SSC and physical state projection
The spin supplementary conditions are constraints on spin degrees of freedom in classical relativity which restricts physical degrees of freedom to...
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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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Effective dynamics of quantum fluctuations in field theory: with applications to cosmology
We develop a novel framework for describing quantum fluctuations in field theory, with a focus on cosmological applications. Our method uniquely...
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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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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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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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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...