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Instanton

An instanton (or pseudoparticle) is a notion appearing in theoretical and mathematical physics. An instanton is a classical solution to equations of motion with a finite, non-zero action, either in quantum mechanics or in quantum field theory. More precisely, it is a solution to the equations of motion of the classical field theory on a Euclidean spacetime.

Art, Yang–Mills theory & Mathematics

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Overview

Mathematics

Quantum mechanics

Quantum field theory

Yang–Mills theory

Various numbers of dimensions

4d supersymmetric gauge theories

Explicit solutions on R4

References and notes

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Instanton

Nodes164
Edges163
Triples124
Avg. degree1.99
Density0.012195
Components1

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Instanton

Top relations

related to References and notes · 26
Instanton → Amsterdam, Aspects, Cambridge University Press, Donaldson, Dunajski, Erice, Four-Manifolds, Gauge Theories, Gauge TheoriesSolitons, Instantons, Int, ISBN, Kronheimer, Mikhail, North Holland, Oxford University Press, Proc, Rajaraman, School, Shifman
see also · 14
Instanton → American, Chemical, Coleman, Einstein, Finite, Four-dimensional, Herring, Holstein, Mills, Non-perturbative, Numeric, Partial, Riemannian, Study
related to Mathematics · 12
Instanton → ADHM, Euclidean, Fields Medal, Instantons, Many, Mathematically, Mills, Riemannian, Simon Donaldson, The, This, Yang
related to Explicit solutions on R4 · 11
Instanton → An, Corrigan, Defining, Fairlie, Greek, Latin, Mills, SU, The, Then, Yang
related to Quantum field theory · 10
Instanton → As, For, In, Just, Mills, Moreover, Pontryagin, QFT, SU, Yang
related to Results · 9
Instanton → As, Euclidean, Euclideanized, In, Minkowskian, Results, This, Thus, Wick-rotated
is a · 6
Instanton → classical instanton solution to the Yang, classical solution to equations of motion with a finite, configuration where, field configuration fulfilling the classical equations of motion in Euclidean spacetime, self-dual or anti-self-dual connection in a principal bundle over a four-dimensional Riemannian manifold that plays the role of physical space-time in non-abelian gauge theory, topologically nontrivial field configuration in four-dimensional Euclidean space
related to Periodic instantons · 6
Instanton → Euclidean, In, Jacobian, Newton-like, Periodic, The
related to Various numbers of dimensions · 6
Instanton → Chern, If, In, Instantons, Pontrjagin, The
related to 4d supersymmetric gauge theories · 5
Instanton → Because, Field, Hooft, Many, Supersymmetric

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Important terminology

displaystyle instantons theory gauge field quantum solution frac potential yang mills euclidean one equations theories energy vacuum integral classical group

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Instantonis aclassical instanton solution to the Yang0.90text
Instantonis aclassical solution to equations of motion with a finite0.90text
Instantonis aself-dual or anti-self-dual connection in a principal bundle over a four-dimensional Riemannian manifold that plays the role of physical space-time in non-abelian gauge theory0.90text
Instantonis afield configuration fulfilling the classical equations of motion in Euclidean spacetime0.90text
Instantonis atopologically nontrivial field configuration in four-dimensional Euclidean space0.90text
Instantonis aconfiguration where0.90text
a Yanginstance ofandthey can be used to study the tunneling behavior in various systems0.80text
a cosine potentialinstance ofas is evident from the above explicit formula and analogous calculations for other potentials0.80text
D-branesinstance ofRecent research on instantons links them to topics0.80text
Black holes andinstance ofRecent research on instantons links them to topics0.80text
of courseinstance ofRecent research on instantons links them to topics0.80text
the vacuum structure of QCDinstance ofRecent research on instantons links them to topics0.80text

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