• quantum field theory, the 't Hooft loop is a magnetic analogue of the Wilson loop whose spatial loop operator give rise to thin loops of magnetic flux associated...
    12 KB (1,925 words) - 06:02, 18 April 2025
  • Thumbnail for Gerard 't Hooft
    Gerardus "Gerard" 't Hooft (Dutch: [ˈɣeːrɑrt ət ˈɦoːft]; born July 5, 1946) is a Dutch theoretical physicist and professor at Utrecht University, the...
    29 KB (3,182 words) - 23:31, 18 April 2025
  • term, the 't Hooft anomaly does not change by integrating out massive degrees of freedom. 't Hooft–Polyakov monopole 't Hooft loop 't Hooft symbol In the...
    7 KB (1,052 words) - 20:56, 21 June 2023
  • The 't Hooft symbol is a collection of numbers which allows one to express the generators of the SU(2) Lie algebra in terms of the generators of Lorentz...
    5 KB (1,248 words) - 15:58, 16 December 2024
  • loops fall into the broader class of loop operators, with some other notable examples being 't Hooft loops, which are magnetic duals to Wilson loops,...
    35 KB (4,874 words) - 06:34, 17 April 2025
  • Hooft or 't Hooft is a Dutch surname meaning "(the) head" (hoofd in modern Dutch). Notable people with the surname include: Hooft Cornelis Hooft (1547–1627)...
    2 KB (304 words) - 18:38, 25 July 2022
  • to. This is also true the other way around. This is an example of a 't Hooft loop, which is a disorder operator instead of an order operator. This is also...
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  • any primordial abundance of magnetic monopoles. 't Hooft anomaly 't Hooft loop 't Hooft symbol 't Hooft, G. (1974). "Magnetic monopoles in unified gauge...
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  • from the Polyakov loop is always bounded from above by the string tension acquired from the Wilson loop. Quark–gluon plasma 't Hooft loop Polyakov, A.M....
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  • are Wilson loops and their thermal equivalents, Polyakov loops. Another nonlocal operator that acts as a order operator is the 't Hooft loop. Since gauge...
    12 KB (1,476 words) - 16:37, 21 February 2025
  • Thumbnail for Alexander Arkadyevich Migdal
    Wilson Loop and the Makeenko–Migdal Loop Equation. Order Parameters; ’t Hooft Loop. In Introduction to Quantum Field Theory (pp. 465–475). chapter, Cambridge:...
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  • below. !$@ 0–9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 't Hooft loop 't Hooft symbol 't Hooft–Polyakov monopole (2+1)-dimensional topological gravity...
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  • Thumbnail for Dual photon
    7 MeV that explains the g−2 muon anomaly. 't Hooft loop – Magnetic loop operator dual to the Wilson loop Covariant Maxwell's equations – Ways of writing...
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  • Thumbnail for Center vortex
    occurs. This can be explained by domain formation. QCD vacuum 't Hooft loop G. 't Hooft (1978). "On the phase transition towards permanent quark confinement"...
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  • of dimension alters the properties of the Dirac gamma matrices. Gerard 't Hooft and Martinus J. G. Veltman invented, in addition to dimensional regularization...
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  • Thumbnail for Dual graviton
    Gravitoelectromagnetism Curtright field Taub–NUT space Nielsen–Olesen vortex 't Hooft loop Dual photon Massive gravity Horndeski's theory List of hypothetical particles...
    17 KB (2,722 words) - 19:15, 13 April 2025
  • usually used in tree-level calculations. For loop calculations, other gauge choices such as the 't Hooft–Feynman gauge often reduce the mathematical complexity...
    2 KB (291 words) - 19:48, 26 July 2022
  • Thumbnail for One-loop Feynman diagram
    In physics, a one-loop Feynman diagram is a connected Feynman diagram with only one cycle (unicyclic). Such a diagram can be obtained from a connected...
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  • Gerard 't Hooft, it was given a precise string theoretic interpretation by Leonard Susskind, who combined his ideas with previous ones of 't Hooft and Charles...
    32 KB (3,969 words) - 23:52, 15 April 2025
  • Thumbnail for Renormalization
    popular in modern use is dimensional regularization, invented by Gerardus 't Hooft and Martinus J. G. Veltman, which tames the integrals by carrying them...
    57 KB (7,761 words) - 07:36, 4 May 2025
  • Thumbnail for Faddeev–Popov ghost
    the S-matrix is exactly cancelled (in the Feynman–'t Hooft gauge) by a contribution from a similar loop of gauge particles with only 3-vertex couplings or...
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  • holographic principle, an idea in quantum gravity originally proposed by Gerard 't Hooft and promoted by Leonard Susskind. It also provides a powerful toolkit for...
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  • Thumbnail for Anomaly (physics)
    can have a mixed higher 't Hooft anomaly between the 0-form time-reversal symmetry and 1-form Z2 center symmetry. The 't Hooft anomaly of 4 dimensional...
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  • Thumbnail for Alexander Markovich Polyakov
    work on what is now called the 't Hooft–Polyakov monopole in non-Abelian gauge theory, independent from Gerard 't Hooft. Polyakov and coauthors discovered...
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  • non-abelian gauge theories. Specifically, it was shown that the mass of a 't Hooft-Polyakov monopole and a Julia-Zee dyon is bounded from below by a quantity...
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  • Thumbnail for Non-perturbative
    by perturbation theory, at any finite order. In quantum field theory, 't Hooft–Polyakov monopoles, domain walls, flux tubes, and instantons are examples...
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  • In mathematics, loop algebras are certain types of Lie algebras, of particular interest in theoretical physics. For a Lie algebra g {\displaystyle {\mathfrak...
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  • Thumbnail for Five-dimensional space
    Riemann curvature tensor.[citation needed] In 1993, the physicist Gerard 't Hooft put forward the holographic principle, which explains that the information...
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  • Thumbnail for Beta function (physics)
    the Nobel Prize in Physics in 2004. Unbeknownst to these authors, G. 't Hooft had announced the result in a comment following a talk by K. Symanzik at...
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  • renormalization of gauge theories and QCD were developed and carried out by 't Hooft. For a small number of particle types (quark flavors), QCD has a negative...
    7 KB (1,005 words) - 13:46, 19 August 2024