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Quantum gravity on the black hole horizon
Nava Gaddam, Nico Groenenboom, Gerard 't Hooft
We study scattering on the black hole horizon in a partial wave basis, with an impact parameter of the order of the Schwarzschild radius or less. This resembles the strong gravity…
The Good, the Bad, and the Ugly of Gravity and Information
Gerard 't Hooft, Steven B. Giddings, Carlo Rovelli +4
Various contenders for a complete theory of quantum gravity are at odds with each other. This is in particular seen in the ways they relate to information and black holes, and how…
Reflections on the renormalization procedure for gauge theories
Gerard t Hooft
Various pieces of insight were needed to formulate the rules for working with gauge theories of the electro-magnetic, weak and strong forces. First, it was needed to understand how…
The Evolution of Quantum Field Theory, From QED to Grand Unification
Gerard 't Hooft
In the early 1970s, after a slow start, and lots of hurdles, Quantum Field Theory emerged as the superior doctrine for understanding the interactions between relativistic sub-atomi…
Confinement at Large Nc
Gerard 't Hooft
A discussion is given of the confinement mechanism in terms of the Abelian projection scheme, for a general number Nc of colors. There is a difficulty in the Nc to infinity limit t…
On Peculiarities and Pit Falls in Path Integrals
Gerard 't Hooft
Path integrals can be rigorously defined only in low dimensional systems where the small distance limit can be taken. Particularly non-trivial models in more than four dimensions c…
Perturbative Confinement
Gerard 't Hooft
A Procedure is outlined that may be used as a starting point for a perturbative treatment of theories with permanent confinement. By using a counter term in the Lagrangian that ren…
Large N
G. 't Hooft
In the first part of this lecture, the 1/N expansion technique is illustrated for the case of the large-N sigma model. In large-N gauge theories, the 1/N expansion is tantamount to…
The Holographic Principle
Gerard 't Hooft
After a pedagogical overview of the present status of High-Energy Physics, some problems concerning physics at the Planck scale are formulated, and an introduction is given to a no…
When was Asymptotic Freedom discovered? or The Rehabilitation of Quantum Field Theory
G. 't Hooft
We glance back at the short period of the great discoveries between 1970 and 1974 that led to the restablishment of Quantum Field Theory and the discovery of the Standard Model of…
Counting planar diagrams with various restrictions
Gerard 't Hooft
Explicit expressions are considered for the generating functions concerning the number of planar diagrams with given numbers of 3- and 4-point vertices. It is observed that planar…
Lattice Regularization of Gauge Theories Without Loss of Chiral Symmetry
G. 't Hooft
A lattice regularization procedure for gauge theories is proposed in which fermions are given a special treatment such that all chiral flavor symmetries that are free of Adler-Bell…
Gauge theory and renormalization (Erice, August 1994)
G. 't Hooft
Early developments leading to renormalizable non-Abelian gauge theories for the weak, electromagnetic and strong interactions, are discussed from a personal viewpoint. They drastic…