• Thumbnail for Instanton
    An instanton (or pseudoparticle) is a notion appearing in theoretical and mathematical physics. An instanton is a classical solution to equations of motion...
    39 KB (6,383 words) - 12:59, 4 October 2024
  • Thumbnail for BPST instanton
    In theoretical physics, the BPST instanton is the instanton with winding number 1 found by Alexander Belavin, Alexander Polyakov, Albert Schwarz and Yu...
    13 KB (1,867 words) - 15:29, 10 June 2024
  • In mathematical physics and differential geometry, a gravitational instanton is a four-dimensional complete Riemannian manifold satisfying the vacuum...
    16 KB (2,560 words) - 21:13, 13 October 2024
  • BPST-like instantons. Although only the solutions with one or few instantons (or anti-instantons) are known exactly, a dilute gas of instantons and anti-instantons...
    32 KB (4,235 words) - 20:18, 17 August 2024
  • Periodic instantons are finite energy solutions of Euclidean-time field equations which communicate (in the sense of quantum tunneling) between two turning...
    8 KB (960 words) - 18:25, 27 April 2024
  • In quantum field theory, the instanton fluid model is a model of Wick rotated Euclidean quantum chromodynamics. If we examine the path integral of the...
    1 KB (170 words) - 05:29, 9 January 2025
  • Thumbnail for Yang–Mills equations
    of the equations are called Yang–Mills connections or instantons. The moduli space of instantons was used by Simon Donaldson to prove Donaldson's theorem...
    25 KB (3,763 words) - 13:19, 25 November 2024
  • a symplectic manifold with the symplectic action functional. For the (instanton) version for three-manifolds, it is the space of SU(2)-connections on...
    36 KB (4,649 words) - 00:59, 4 June 2024
  • A meron or half-instanton is a Euclidean space-time solution of the Yang–Mills field equations. It is a singular non-self-dual solution of topological...
    2 KB (164 words) - 10:03, 5 January 2024
  • topology of smooth 4-manifolds using moduli spaces of anti-self-dual instantons. It was started by Simon Donaldson (1983) who proved Donaldson's theorem...
    2 KB (234 words) - 16:05, 23 July 2022
  • equations of motion called instantons. They are responsible for tunnelling between different topological vacua with an instanton with winding number ν {\displaystyle...
    13 KB (2,063 words) - 15:10, 23 June 2023
  • Thumbnail for Yang–Mills theory
    strength of a BPST instanton with center z on the compactification S4 of ℝ4 (bottom right). The BPST instanton is a classical instanton solution to the Yang–Mills...
    28 KB (4,225 words) - 21:50, 4 November 2024
  • equations of motion for a classical field theory, particles known as instantons. Gauge theory has found uses in constructing new invariants of smooth...
    72 KB (11,468 words) - 02:12, 7 January 2025
  • perturbative loop calculation and the second is the instanton part where k {\displaystyle k} labels fixed instanton numbers. In theories whose gauge groups are...
    18 KB (2,560 words) - 12:32, 21 November 2024
  • the Gibbons–Hawking ansatz is a method of constructing gravitational instantons introduced by Gary Gibbons and Stephen Hawking (1978, 1979). It gives...
    2 KB (148 words) - 13:45, 3 April 2022
  • potential" served for many years as a model to illustrate the concept of instantons as a pseudo-classical configuration in a Euclideanised field theory. In...
    15 KB (2,697 words) - 21:11, 21 June 2023
  • Thumbnail for Black hole
    algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie...
    166 KB (18,724 words) - 00:29, 28 December 2024
  • Thumbnail for Michael Atiyah
    his more recent work was inspired by theoretical physics, in particular instantons and monopoles, which are responsible for some corrections in quantum field...
    82 KB (8,812 words) - 17:10, 31 December 2024
  • Thumbnail for Neil Turok
    With Stephen Hawking, he later developed the so-called Hawking-Turok instanton solutions which, according to the no-boundary proposal of Hawking and...
    14 KB (1,245 words) - 00:30, 28 December 2024
  • Thumbnail for Sphaleron
    either tunnel through the barrier (in which case the transition is an instanton-like process) or must for a reasonable period of time be brought up to...
    13 KB (1,611 words) - 17:16, 27 October 2024
  • of non-tunneling rates. Instantons, a field configuration which is a local minimum of the Yang–Mills field equation. Instantons are used in nonperturbative...
    33 KB (3,050 words) - 01:45, 2 December 2024
  • Thumbnail for Gerard 't Hooft
    formula for the masses of mesons. He also studied the role of so-called instanton contributions in QCD. His calculation showed that these contributions...
    29 KB (3,182 words) - 01:34, 6 January 2025
  • Thumbnail for Non-perturbative
    field theory, 't Hooft–Polyakov monopoles, domain walls, flux tubes, and instantons are examples. A concrete, physical example is given by the Schwinger effect...
    3 KB (335 words) - 01:03, 5 February 2024
  • the ADHM construction or monad construction is the construction of all instantons using methods of linear algebra by Michael Atiyah, Vladimir Drinfeld,...
    5 KB (723 words) - 14:38, 22 December 2024
  • caloron is the finite temperature generalization of an instanton. At zero temperature, instantons are the name given to solutions of the classical equations...
    5 KB (590 words) - 16:17, 5 October 2022
  • Einstein manifolds in four Euclidean dimensions are studied as gravitational instantons. If M is the underlying n-dimensional manifold, and g is its metric tensor...
    7 KB (963 words) - 23:53, 17 November 2024
  • Thumbnail for Tsung-Dao Lee
    the long-standing quantum degenerate double-wall potential and other instanton problems. They also did work on the neutrino mapping matrix.[citation...
    23 KB (2,066 words) - 04:13, 3 January 2025
  • Thumbnail for Alexander Markovich Polyakov
    Gerard 't Hooft. Polyakov and coauthors discovered the so-called BPST instanton which, in turn, led to the discovery of the vacuum angle in QCD. His path...
    11 KB (823 words) - 15:28, 27 December 2024
  • north and south pole Dyon, a particle with electric and magnetic charge Instanton, a class of field solutions that includes monopoles Monomial, a polynomial...
    1 KB (225 words) - 03:29, 11 February 2020
  • algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie...
    30 KB (3,263 words) - 17:00, 18 December 2024