Symanzik improvement program
E570856
The Symanzik improvement program is a theoretical framework in lattice quantum field theory that systematically reduces discretization errors by adding higher-dimensional operators to the lattice action.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| Symanzik improvement | 1 |
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
lattice field theory formalism
ⓘ
theoretical framework ⓘ |
| addresses |
cutoff effects in lattice simulations
ⓘ
lattice discretization effects ⓘ |
| aimsTo |
improve continuum extrapolation
ⓘ
reduce discretization errors ⓘ |
| alternativeName | Symanzik improvement NERFINISHED ⓘ |
| appliesTo |
lattice actions
ⓘ
lattice correlation functions ⓘ lattice operators ⓘ |
| assumes |
existence of a continuum limit
ⓘ
locality of the underlying quantum field theory ⓘ |
| basedOn |
continuum limit of lattice theories
ⓘ
matching to a continuum effective field theory ⓘ |
| canBeExtendedTo | nonperturbative improvement ⓘ |
| characterizedBy | hierarchical removal of cutoff effects order by order in a ⓘ |
| coreConcept |
Symanzik effective action
NERFINISHED
ⓘ
systematic expansion in powers of the lattice spacing a ⓘ |
| field |
lattice gauge theory
ⓘ
lattice quantum field theory ⓘ |
| frameworkType | perturbative improvement scheme ⓘ |
| goal |
obtain continuum-like results at finite lattice spacing
ⓘ
systematic control of lattice artifacts ⓘ |
| historicalContext | developed in the context of Euclidean quantum field theory ⓘ |
| impactOn |
precision lattice QCD calculations
ⓘ
systematic error analysis in lattice simulations ⓘ |
| improves | scaling behavior toward the continuum limit ⓘ |
| influenced | design of modern lattice actions ⓘ |
| involves |
classification of higher-dimensional operators by symmetries
ⓘ
power counting in the lattice spacing ⓘ renormalization of lattice operators ⓘ |
| mathematicalSetting | Euclidean lattice regularization of quantum field theories ⓘ |
| namedAfter | Kurt Symanzik NERFINISHED ⓘ |
| relatedTo |
O(a) improved Wilson fermions
ⓘ
Sheikholeslami–Wohlert term NERFINISHED ⓘ clover-improved Wilson action ⓘ improved gauge actions ⓘ |
| requires |
determination of improvement coefficients
ⓘ
identification of all operators of a given dimension compatible with symmetries ⓘ |
| typicalOrder |
O(a) improvement
ⓘ
O(a^2) improvement ⓘ |
| uses |
operator product expansion ideas
ⓘ
symmetry constraints of the lattice theory ⓘ |
| usesMethod |
addition of higher-dimensional operators to the lattice action
ⓘ
effective field theory expansion in the lattice spacing ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Symanzik improvement