An instanton (or pseudoparticle) is a notion appearing in theoretical and mathematical physics. An instanton is a classical solution to equations of motion...

In theoretical physics, the BPST instanton is the instanton with winding number 1 found by Alexander Belavin, Alexander Polyakov, Albert Schwarz and Yu...

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...

In mathematical physics and differential geometry, a gravitational instanton is a four-dimensional complete Riemannian manifold satisfying the vacuum...

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...

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...

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...

In quantum field theory, periodic instantons are finite energy solutions of Euclidean-time field equations which communicate (in the sense of quantum tunneling)...

double-well potential serves as a model to illustrate the concept of instantons as a pseudo-classical configuration in a Euclidean field theory. In the...

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...

equations of motion called instantons. They are responsible for tunnelling between different topological vacua with an instanton with winding number ν {\displaystyle...

a symplectic manifold with the symplectic action functional. For the (instanton) version for three-manifolds, it is the space of SU(2)-connections on...

equations of motion for a classical field theory, particles known as instantons. Gauge theory has found uses in constructing new invariants of smooth...

the Gibbons–Hawking ansatz is a method of constructing gravitational instantons introduced by Gary Gibbons and Stephen Hawking (1978, 1979). It gives...

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...

perturbative loop calculation and the second is the instanton part where k {\displaystyle k} labels fixed instanton numbers. In theories whose gauge groups are...

the ADHM construction or monad construction is the construction of all instantons using methods of linear algebra by Michael Atiyah, Vladimir Drinfeld,...

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...

symplectomorphism. Because of his work on Arnold's conjecture and his development of instanton homology, he achieved wide recognition and was invited as a plenary speaker...

a non-trivial homotopy group, or, in physics lingo, in terms of instantons. Instantons are a form of topological soliton; they are a solution to the classical...

experiment. There are also instantons, field configurations which are a local minimum of the Yang–Mills field equation. Instantons are used in nonperturbative...

formula for the masses of mesons. He also studied the role of so-called instanton contributions in QCD. His calculation showed that these contributions...

field theory, 't Hooft–Polyakov monopoles, domain walls, flux tubes, and instantons are examples. A concrete, physical example is given by the Schwinger effect...

introduced by Gerard 't Hooft. It is used in the construction of the BPST instanton. η μ ν a {\displaystyle \eta _{\mu \nu }^{a}} is the 't Hooft symbol:...

algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie...

his more recent work was inspired by theoretical physics, in particular instantons and monopoles, which are responsible for some corrections in quantum field...

Torelli-type theorem for gravitational instantons." He and Hiraku Nakajima gave a construction of instantons on ALE spaces generalizing the...

that the exterior derivative of the Chern–Simons action is equal to the instanton number, the 4-dimensional theory on M × S 1 {\displaystyle M\times S^{1}}...

gravitational instanton. This Einstein metric is asymptotically locally Euclidean and self-dual, closely parallel to the Yang-Mills instanton. He is also...

With Stephen Hawking, he later developed the so-called Hawking-Turok instanton solutions which, according to the no-boundary proposal of Hawking and...