BPST instanton
E911211
classical solution of field equations
instanton
non-perturbative solution
solution of Yang–Mills equations
topological soliton
The BPST instanton is a fundamental non-perturbative solution in four-dimensional SU(2) Yang–Mills gauge theory that represents a localized, finite-action tunneling event between distinct vacuum states.
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
classical solution of field equations
ⓘ
instanton ⓘ non-perturbative solution ⓘ solution of Yang–Mills equations ⓘ topological soliton ⓘ |
| acronymExpansion | Belavin–Polyakov–Schwarz–Tyupkin instanton NERFINISHED ⓘ |
| action | finite Euclidean action ⓘ |
| associatedWith |
chiral symmetry breaking mechanisms
ⓘ
theta-vacuum structure in non-Abelian gauge theories ⓘ |
| belongsToTopologicalSector | winding number 1 sector ⓘ |
| contributesTo |
non-perturbative effects in gauge theory
ⓘ
tunneling amplitude between vacua ⓘ |
| fieldStrengthCondition | F = *F ⓘ |
| gaugeGroup | SU(2) NERFINISHED ⓘ |
| hasGeneralization |
ADHM instanton construction
NERFINISHED
ⓘ
instantons in SU(N) gauge theories ⓘ multi-instanton solutions ⓘ |
| hasParameter |
global gauge orientation
ⓘ
position modulus ⓘ size modulus ⓘ |
| hasProperty |
localized in Euclidean spacetime
ⓘ
self-dual field strength ⓘ |
| importantFor |
topological classification of gauge field configurations
ⓘ
understanding non-perturbative structure of non-Abelian gauge theories ⓘ |
| introducedBy |
Albert Schwarz
NERFINISHED
ⓘ
Alexander Belavin NERFINISHED ⓘ Alexander Polyakov NERFINISHED ⓘ Yakov Tyupkin NERFINISHED ⓘ |
| invariantUnder | combined translations and rotations in Euclidean space ⓘ |
| mathematicalContext |
fiber bundles and characteristic classes
ⓘ
self-dual connections on principal SU(2)-bundles ⓘ |
| minimizes | Yang–Mills action in a given topological sector ⓘ |
| publishedIn | Physics Letters B NERFINISHED ⓘ |
| relatedConcept |
anti-instanton
ⓘ
instanton moduli space ⓘ |
| represents |
transition between topologically inequivalent vacua
ⓘ
tunneling event between distinct vacuum states ⓘ |
| satisfies | Yang–Mills equations of motion in Euclidean space ⓘ |
| spacetimeDimension | 4 ⓘ |
| spacetimeSignature | Euclidean ⓘ |
| theory |
SU(2) Yang–Mills theory
NERFINISHED
ⓘ
Yang–Mills gauge theory NERFINISHED ⓘ |
| topologicalCharge | 1 ⓘ |
| usedIn |
path integral formulation of gauge theories
ⓘ
semiclassical analysis of Yang–Mills theories ⓘ studies of the QCD vacuum ⓘ |
| yearOfIntroduction | 1975 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.