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This pre-print contains the abstracts of seminars (including key references) presented at the ESI workshop on mathematical problems in quantum gravity held during July and August of 1996. Contributors include A. Ashtekar, J. Baez, F.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Peter Aichelburg , Abhay Ashtekar

A number of very different approaches to quantum gravity contain a common thread, a hint that spacetime at very short distances becomes effectively two dimensional. I review this evidence, starting with a discussion of the physical meaning…

General Relativity and Quantum Cosmology · Physics 2017-09-27 S. Carlip

These notes are a transcript of Carlo Rovelli's lectures on Loop Quantum Gravity, given in Marseille in 2018, which (at present) can be entirely found on YouTube. I transcribed them in LaTeX in early 2020 as an exercise to get ready for my…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Pietropaolo Frisoni

This article is based on the opening lecture at the third quantum geometry and quantum gravity school sponsored by the European Science Foundation and held at Zakopane, Poland in March 2011. The goal of the lecture was to present a broad…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Abhay Ashtekar

This set of four lectures was originally given at the VI Training Course in the Physics of Correlated Electron systems and High-Tc Superconductors, at Vietri Sur Mare, Italy (Oct 2001). The lectures are at an introductory level with…

Strongly Correlated Electrons · Physics 2009-11-07 P. Coleman

A review is given of some classical and quantum aspects of 2+1 dimensional gravity.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pietro Menotti

These notes summarise the lectures given at the International School of Physics "Enrico Fermi" in Summer 2024 in Varenna (Italy) about the strongly coupled quantum many-body theory and its applications to nuclear structure. The lectures…

Nuclear Theory · Physics 2025-01-22 Elena Litvinova

We outline Fermi's early attitude towards old quantum physics. We sketch out the context from which his interest for quantum physics arose, and we deal with his work on quantum statistics. We also go through the first two courses on…

History and Philosophy of Physics · Physics 2013-01-01 Alberto De Gregorio , Fabio Sebastiani

Invited talk at European Workshop on the QCD Structure of the Nucleon (QCD-N\'02), Ferrara, Italy, 3--6 Apr 2002

High Energy Physics - Phenomenology · Physics 2008-11-26 Yuri Dokshitzer

We discuss some of the issues to be addressed in arriving at a definitive noncommutative Riemannian geometry that generalises conventional geometry both to the quantum domain and to the discrete domain. This also provides an introduction to…

Quantum Algebra · Mathematics 2009-10-31 S. Majid

These lecture notes (from the Second Autumn School in High Energy Physics and Quantum Field Theory, Yerevan 2014) cover a number of topics related to geometric quantization. Most of the material is presented from a physicist's point of…

High Energy Physics - Theory · Physics 2016-06-22 V. P. Nair

After an overview of the physical motivations for studying quantum gravity, we reprint THE FORMAL STRUCTURE OF QUANTUM GRAVITY, i.e. the 1978 Cargese Lectures by Professor B.S. DeWitt, with kind permission of Springer. The reader is…

High Energy Physics - Theory · Physics 2008-11-26 Bryce S. DeWitt , Giampiero Esposito

This lecture reviews aspects of and prospects for progress towards a theory of quantum gravity from a particle physics perspective, also paying attention to recent findings of the LHC experiments at CERN.

General Relativity and Quantum Cosmology · Physics 2015-06-12 Hermann Nicolai

These notes are based on the mini-course given in June 2004 in Cetraro, Italy, in the frame of a C.I.M.E. school. Of course, they contain much more material that I could present in the 6 hours course. The main goal is to give an idea of the…

Optimization and Control · Mathematics 2007-05-23 Andrei Agrachev

The study of general two dimensional models of gravity allows to tackle basic questions of quantum gravity, bypassing important technical complications which make the treatment in higher dimensions difficult. As the physically important…

High Energy Physics - Theory · Physics 2010-11-19 D. Grumiller , W. Kummer , D. V. Vassilevich

(from the talk:) I shall here speak on gravity in (1+1)-dimensional space-time --- lineal gravity. The purpose of studying lower dimensional theories, and specifically lower dimensional gravity, is to gain insight into difficult…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Jackiw

Contents: 1. Introduction 2. Bosonic propagators and random paths 3. Random surfaces and strings 4. Matrix models and two-dimensional quantum gravity 5. The mystery of $c > 1$ 6. Euclidean quantum gravity in $d > 2$ 7. Discussion

High Energy Physics - Theory · Physics 2008-02-03 Jan Ambjorn

Talk presented at NATO Gran Finale Conference, Como, Italy, September 1993

Condensed Matter · Physics 2015-06-25 Michael Fowler

We review recent work in the lattice approach to random surfaces and quantum gravity. Our task is made somewhat easier by some very interesting results, particularly in four dimensions, that have appeared recently and which are reported…

High Energy Physics - Lattice · Physics 2009-10-28 D. A. Johnston

I review recent work on nonperturbative path integral quantization of two-dimensional dilaton gravity coupled to Dirac fermions, employing the "Vienna school" approach.

High Energy Physics - Theory · Physics 2007-05-23 Rene Meyer