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This is a talk presented at the conference ``Historical and Philosophical Reflections on the Foundations of Quantum Field Theory,'' at Boston University, March 1996. It will be published in the proceedings of this conference.

High Energy Physics - Theory · Physics 2007-05-23 Steven Weinberg

This article provides a review of the literature on rigorous definitions and constructions in Quantum Field Theory, spanning the period of seven decades. Comparing with the ideas and constructions found in the modern physics literature, we…

High Energy Physics - Theory · Physics 2023-05-10 Mykola Dedushenko

These lectures present a brief introduction to measurement theory for QFT in possibly curved spacetimes introduced by the author and R. Verch [Comm. Math. Phys. 378 (2020) 851-889]. Topics include: a brief introduction to algebraic QFT,…

General Relativity and Quantum Cosmology · Physics 2025-04-25 Christopher J. Fewster

Entanglement has long been the subject of discussion by philosophers of quantum theory, and has recently come to play an essential role for physicists in their development of quantum information theory. In this paper we show how the…

Quantum Physics · Physics 2007-05-23 Rob Clifton , Hans Halvorson

(Talk presented at the XVth Workshop on Geometric Methods in Physics, Quantizations, Deformations and Coherent States, in Bialowieza, Poland, July 1-7, 1996.) The aim of this article is to introduce some basic notions of Topological Quantum…

q-alg · Mathematics 2009-10-30 Roger Picken

Despite the growing application of Large Language Models (LLMs) to theoretical physics, there is little academic exploration into how domain-specific physics reasoning ability develops while training these models. To investigate this, we…

Machine Learning · Computer Science 2026-04-22 Nathaniel S. Woodward , Zhiqi Gao , Yurii Kvasiuk , Kendrick M. Smith , Frederic Sala , Moritz Münchmeyer

These notes are an introduction to General Relativity as a Quantum Effective Field Theory, following the material given in a short course on the subject at EPFL. The intent is to develop General Relativity starting from a quantum field…

High Energy Physics - Theory · Physics 2017-02-02 John F. Donoghue , Mikhail M. Ivanov , Andrey Shkerin

In this introductory article a brief description of Quantum Field Theories (QFT) is presented with emphasis on the distinction between strongly and weakly coupled theories. A case is made for using numerical simulations to solve QCD, the…

High Energy Physics - Lattice · Physics 2007-05-23 Rajan Gupta

These notes grew from a series of lectures given by the authors during the last decade. They will be published in the proceedings of TASI 2021. After a brief introduction to quantum information theory tools, they are organized in four…

High Energy Physics - Theory · Physics 2023-03-24 Horacio Casini , Marina Huerta

Quantum field theory (QFT) on fractal spacetimes is a program aiming at quantizing the gravitational interaction consistently at all energy scales thanks to an intrinsically or dynamically induced multiscale or multifractal-like spacetime…

High Energy Physics - Theory · Physics 2026-03-26 Fabio Briscese , Gianluca Calcagni

This talk introduces perturbative quantum field on a heuristic level. It is directed at an audience familiar with elements of quantum mechanics, but not necessarily with high energy physics. It includes a discussion of the strategies behind…

High Energy Physics - Phenomenology · Physics 2014-11-17 George Sterman

In these notes, we present a rigorous and self-contained introduction to the fundamental concepts and methods of quantum many-body theory. The text is designed to provide a solid theoretical foundation for the study of interacting quantum…

Other Condensed Matter · Physics 2026-02-24 Fabrizio Tafuri , Carmine Antonio Perroni , Giulio De Filippis

In this article and a companion paper we address the question of how one might obtain the semiclassical limit of ordinary matter quantum fields (QFT) propagating on curved spacetimes (CST) from full fledged Quantum General Relativity (QGR),…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Hanno Sahlmann , Thomas Thiemann

While quantum mechanics (QM) is covered at length in introductory physics textbooks, the concept of quantum entanglement is typically not covered at all, despite its importance in the rapidly growing area of quantum information science and…

Physics Education · Physics 2024-03-21 W. M. Stuckey , Timothy McDevitt , Michael Silberstein

This is a pedagogical introduction to the treatment of quantum general relativity as an effective field theory. It starts with an overview of the methods of effective field theory and includes an explicit example. Quantum general relativity…

General Relativity and Quantum Cosmology · Physics 2015-06-11 John F. Donoghue

In this paper I offer an introduction to group field theory (GFT) and to some of the issues affecting the foundations of this approach to quantum gravity. I first introduce covariant GFT as the theory that one obtains by interpreting the…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Álvaro Mozota Frauca

We initiate a study of the complexity of quantum field theories (QFTs) by proposing a measure of information contained in a QFT and its observables. We show that from minimal assertions, one is naturally led to measure complexity by two…

High Energy Physics - Theory · Physics 2025-07-16 Thomas W. Grimm , Mick van Vliet

Most physics textbooks at college and university level introduce quantum physics in a historical context. However, the textbook version of this history does not match the actual history. In this article, the first in a series of articles…

Physics Education · Physics 2022-12-19 Reidun Renstrøm , Nils-Erik Bomark

Quantum error correction protocols will play a central role in the realisation of quantum computing; the choice of error correction code will influence the full quantum computing stack, from the layout of qubits at the physical level to…

Quantum Physics · Physics 2019-10-14 Joschka Roffe

Since the quantum field theory treats a system of particles, there must be a distribution which is associated with the system of particles. It means that a meaningful quantity is adjoined in the system of particles. It seems that these…

General Physics · Physics 2008-10-25 Yeong-Shyeong Tsai