Schwinger model
E130663
The Schwinger model is a two-dimensional quantum electrodynamics theory that serves as a exactly solvable toy model for studying phenomena like confinement, chiral symmetry breaking, and anomalies in quantum field theory.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Schwinger model canonical | 1 |
| massive Schwinger model | 1 |
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
(1+1)-dimensional quantum electrodynamics
ⓘ
exactly solvable model ⓘ quantum field theory ⓘ toy model ⓘ |
| axialSymmetryStatus | broken by anomaly ⓘ |
| exhibitsPhenomenon |
axial anomaly
ⓘ
bosonization ⓘ chiral symmetry breaking ⓘ confinement ⓘ mass generation ⓘ screening of charges ⓘ |
| gaugeGroup | U(1) ⓘ |
| hasAnomaly | chiral anomaly ⓘ |
| hasBoundaryConditionVariants | finite volume formulations ⓘ |
| hasFieldContent |
Dirac fermion
ⓘ
U(1) gauge field ⓘ |
| hasInteraction | electromagnetic interaction ⓘ |
| hasMassScale | g/√π ⓘ |
| hasProperty |
asymptotic states are neutral
ⓘ
infrared finite ⓘ no free charged particles in the spectrum ⓘ ultraviolet renormalizable ⓘ |
| hasSpacetimeDimension | 1+1 ⓘ |
| hasSpatialDimension | 1 ⓘ |
| hasSymmetry |
axial U(1) symmetry (classically)
ⓘ
vector U(1) symmetry ⓘ |
| hasTimeDimension | 1 ⓘ |
| hasVariant |
Schwinger model
self-linksurface differs
ⓘ
surface form:
massive Schwinger model
|
| introducedBy | Julian Schwinger ⓘ |
| isExactlySolvable | true ⓘ |
| isLowerDimensionalAnalogOf | quantum electrodynamics in 3+1 dimensions ⓘ |
| LagrangianContains |
Dirac term for a massless fermion
ⓘ
U(1) gauge kinetic term ⓘ minimal coupling between fermion and gauge field ⓘ |
| namedAfter | Julian Schwinger ⓘ |
| photonBecomes | massive boson ⓘ |
| servesAsBenchmarkFor |
lattice gauge algorithms
ⓘ
tensor network methods in QFT ⓘ |
| solvableBy |
bosonization techniques
ⓘ
operator methods ⓘ path integral methods ⓘ |
| spectrumContains | single massive scalar boson ⓘ |
| studiedIn | lattice gauge theory ⓘ |
| typicalFermionMass | zero (massless Schwinger model) ⓘ |
| usedToStudy |
bosonization in low dimensions
ⓘ
chiral symmetry breaking mechanisms ⓘ confinement mechanisms ⓘ nonperturbative effects in QED ⓘ quantum anomalies ⓘ |
| yearProposed | 1962 ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
massive Schwinger model