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Yang–Mills theory
42 related topics
Mathematics
19 related topics
Quantum mechanics
Double-well potentialTime independent Schrödinger equationWKB approximationPath integralsWick rotation
18 related topics
Quantum field theory
15 related topics
Key facts & relationships
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Topics to explore
A structured outline of related entities, concepts and subtopics. Open any item to build a new map centered on it.Browse the full topic structure. Each item opens a new analysis centered on that subject.
Overview
- BPST instanton
- Pauli matrix
- Compactification Compactification (mathematics)
- Yang–Mills equations
- Mathematical physics
- Equations of motion
- Non-zero action Vacuum state
- Quantum mechanics
- Quantum field theory
- Classical field theory
- Euclidean Euclidean space
- Spacetime
- Critical points Critical point (mathematics)
- Action Action (physics)
- Local minima Maxima and minima
- Saddle points Saddle point
- Path integral Functional integration
- Yang–Mills theory
- Dynamics Dynamics (mechanics)
- Noise-induced chaotic phase Supersymmetric theory of stochastic dynamics
- Self-organized criticality
Mathematics
- Connection Connection (mathematics)
- Principal bundle
- Riemannian manifold
- Space-time
- Non-abelian Non-abelian group
- Gauge theory
- Yang–Mills equations Yang–Mills equation
- Four-dimensional sphere Hypersphere
- Twistor theory
- Vector bundles Vector bundle
- Algebraic surfaces Algebraic surface
- ADHM construction
- Hyperkähler manifold
- Simon Donaldson
- Fields Medal
- Differentiable structure
- Homeomorphic Homeomorphism
- Diffeomorphic Diffeomorphism
- Monopoles 't Hooft–Polyakov monopole
Quantum mechanics
- Double-well potential
- Time independent Schrödinger equation Schrödinger equation
- WKB approximation
- Path integrals Path integral formulation
- Wick rotation
- Path integral Line integral
- Mathieu function
- Lamé function
- Spheroidal wave function
- "axions" Axion
- Peccei–Quinn symmetry Peccei–Quinn theory
- Nambu–Goldstone bosons Nambu–Goldstone boson
- Pseudo-Nambu–Goldstone ones Chiral symmetry breaking
- Soliton
- Kink Sine-Gordon equation
- Pseudoparticles
- Jacobian elliptic functions
- Potential energy surface
Quantum field theory
- Topological
- Vacua
- Π 3 {\displaystyle \pi _{3}} Homotopy group
- SU(2)
- ( S 3 ) = {\displaystyle (S^{3})=} 3-sphere
- Unaltered transform Topological invariant
- Pontryagin index
- Z {\displaystyle \mathbb {Z} \,} Integer
- | N ⟩ {\displaystyle |N\rangle } Bra–ket notation
- Alexander Belavin
- Alexander Polyakov Alexander Markovich Polyakov
- Albert S. Schwarz
- Yu. S. Tyupkin Yu. S. Tyupkin?action=edit&redlink=1
- Gerard 't Hooft Gerardus 't Hooft
- Wayback Machine
Yang–Mills theory
- Curvature
- Volume form
- Lie algebra
- Killing form
- Gauge group
- U(1)
- Tensor
- Partial differential equation
- Hodge star
- Exterior covariant derivative
- Bianchi identity
- Topologically Topology
- Minkowski spacetime
- Yang–Mills
- Gauge field
- Pure gauge
- Spatial infinity Point at infinity
- Two-dimensional space Plane (mathematics)
- Group Group (mathematics)
- Abelian group
- Vector field
- Four dimensions Four-dimensional space
- Feynman diagrams Feynman diagram
- Perturbative Perturbation theory (quantum mechanics)
- Non-perturbative
- Hodge dual
- Energy
- Limit Limit (mathematics)
- Chern–Simons
- Stokes' theorem
Various numbers of dimensions
- Four-form Differential form
- Characteristic class
- Unitary group
- Special unitary group
- Chern class
- Pontrjagin class
- Higgs fields Higgs field
- QED Quantum electrodynamics
- Scalar field
- Photon
- Worldsheet instantons Worldsheet instanton?action=edit&redlink=1
- Vortices Vortex
- Mirror symmetry Mirror symmetry (string theory)
- Tunneling Quantum tunneling
4d supersymmetric gauge theories
- Nonrenormalization theorems Supersymmetry nonrenormalization theorems
- Perturbation theory
- Superpotential
- Ian Affleck
- Michael Dine
- Nathan Seiberg
- Chiral matter Chiral superfield
- Moduli space
- Edward Witten
- Seiberg–Witten theory
- Nekrasov partition functions Nekrasov partition functions?action=edit&redlink=1
- Nikita Nekrasov
- Andrei Okounkov
- Hiraku Nakajima
- Kota Yoshioka Kota Yoshioka?action=edit&redlink=1
Explicit solutions on R4
- Ansatz
- Corrigan Ed Corrigan
- Fairlie David Fairlie
- Harmonic function
- Fundamental solution
- Laplace's equation
References and notes
- Mikhail A. Shifman
- Doi Doi (identifier)
- ISBN ISBN (identifier)
- Sidney Coleman
Advanced semantic analysis
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Map overview Semantic statistics
Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.Instanton
Nodes164
Edges163
Triples124
Avg. degree1.99
Density0.012195
Components1
How this topic connects Entity context
Quick relationship hints grouped by predicate. Useful for spotting recurring semantic connections around the current entity.See the strongest relationship patterns around the current topic before diving into the raw triples.
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
Important terminology Word statistics
Frequent words and multi-word phrases across the lead, headings, infobox and body. Useful for terminology coverage.Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
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
Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Instanton | is a | classical instanton solution to the Yang | 0.90 | text |
| Instanton | is a | classical solution to equations of motion with a finite | 0.90 | text |
| Instanton | is a | 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 | 0.90 | text |
| Instanton | is a | field configuration fulfilling the classical equations of motion in Euclidean spacetime | 0.90 | text |
| Instanton | is a | topologically nontrivial field configuration in four-dimensional Euclidean space | 0.90 | text |
| Instanton | is a | configuration where | 0.90 | text |
| a Yang | instance of | andthey can be used to study the tunneling behavior in various systems | 0.80 | text |
| a cosine potential | instance of | as is evident from the above explicit formula and analogous calculations for other potentials | 0.80 | text |
| D-branes | instance of | Recent research on instantons links them to topics | 0.80 | text |
| Black holes and | instance of | Recent research on instantons links them to topics | 0.80 | text |
| of course | instance of | Recent research on instantons links them to topics | 0.80 | text |
| the vacuum structure of QCD | instance of | Recent research on instantons links them to topics | 0.80 | text |
No triples extracted yet.
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Connections between topic areas Semantic bridges
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