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The main formal structures of Generalized Quantum Theory are summarized. Recent progress has sharpened some of the concepts, in particular the notion of an observable, the action of an observable on states (putting more emphasis on the role…

Quantum Physics · Physics 2015-03-25 Thomas Filk , Hartmann Römer

This paper describes general relativity at the gravito-electromagnetic precision level as a constrained field theory. In this novel formulation, the gravity field comprises two auxiliary fields, a static matter field and a moving matter…

General Physics · Physics 2020-03-17 Sergio Giardino

The questions I have been asked during the 5th International School on Field Theory and Gravitation, have compelled me to give an account of the premises that I consider important for a beginner's approach to Loop Quantum Gravity. After a…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Simone Mercuri

I summarize the motivation for the effective field theory approach to nuclear physics, and highlight some of its recent accomplishments. The results are compared with those computed in potential models.

Nuclear Theory · Physics 2009-10-31 David B. Kaplan

This paper is a collection of lecture notes on the superfield approach in three- and four-dimensional supersymmetric quantum field theory. Many examples of the applications of this approach to different superfield models are considered.

High Energy Physics - Theory · Physics 2021-03-02 A. Yu. Petrov

The object of this contribution is twofold. On one hand, it rises some general questions concerning the definition of the electromagnetic field and its intrinsic properties, and it proposes concepts and ways to answer them. On the other…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bartolome Coll

These lecture notes provide an introduction to quantum information and quantum computation, which are strongly related disciplines and subject of intense research. The lecture notes contain only a small selection of topics in these…

Quantum Physics · Physics 2023-11-22 Christoph Dittel

I propose to formalize quantum theories as topological quantum field theories in a generalized sense, associating state spaces with boundaries of arbitrary (and possibly finite) regions of space-time. I further propose to obtain such…

High Energy Physics - Theory · Physics 2007-05-23 Robert Oeckl

Starting with a consideration of the implication of Bell inequalities in quantum mechanics, a new quantum postulate is suggested in order to restore classical locality and causality to quantum physics: only the relative coordinates between…

General Physics · Physics 2023-02-22 Michael Spanner

Some explanations and implications of the underlying theory approach for quantum theories (QM or QFT) are discussed and suggested. This simple idea seems to have significantly nontrivial effects for our understanding of the quantum…

High Energy Physics - Theory · Physics 2007-05-23 Jifeng Yang

These lecture notes formed the basis of a mini-course on algebraic quantum field theory presented at the Bootstrap 2024 conference in Madrid. The goal of the notes is to explain the merits of algebraic quantum field theory to a broad…

High Energy Physics - Theory · Physics 2024-08-16 Jonathan Sorce

Present day physics rests on two main pillars: General relativity and quantum field theory. We discuss the deep and at the same time problematic interplay between these two theories. Based on an argument by Doplicher, Fredenhagen, and…

High Energy Physics - Theory · Physics 2007-05-23 Karl-Georg Schlesinger

We give a standard introduction to loop quantum gravity, from the ADM variables to spin network states. We include a discussion on quantum geometry on a fixed graph and its relation to a discrete approximation of general relativity.

General Relativity and Quantum Cosmology · Physics 2010-09-21 Pietro Doná , Simone Speziale

These lectures deal with selected aspects of quantum field theory in curved spacetime including the following topics: (1) Quantization of fields on a curved background, particle creation by gravitational fields, particle creation in an…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. H. Ford

I show how quantum mechanics, like the theory of relativity, can be understood as a 'principle theory' in Einstein's sense, and I use this notion to explore the approach to the problem of interpretation developed in my book Interpreting the…

Quantum Physics · Physics 2007-05-23 Jeffrey Bub

Despite their success, General Relativity (GR) and the Standard Model (SM) are currently understood as effective field theories only valid up to some energy (length) scale, where new physics is expected to appear. We review the framework of…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Juan Francisco González Hernández

I shall discuss some "conditions of possibility" of a quantum theory of gravity, stressing the need for solutions to some of fundamental problems confronting any attempt to apply some method of quantization to the field equations of general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 John Stachel

Non-perturbative quantum general relativity provides a possible framework to analyze issues related to black hole thermodynamics from a fundamental perspective. A pedagogical account of the recent developments in this area is given. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Abhay Ashtekar , Kirill Krasnov

These lecture notes attempt to explain the main ideas of the theory of the quantum Hall effect. The emphasis is on the localization and interaction physics in the extreme quantum limit which gives rise to the quantum Hall effect. The…

Condensed Matter · Physics 2007-05-23 A. H. MacDonald

A realistic axiomatic formulation of Galilean Quantum Field Theories is presented, from which the most important theorems of the theory can be deduced. In comparison with others formulations, the formal aspect has been improved by the use…

Quantum Physics · Physics 2009-11-10 G. Puccini , H. Vucetich