LagrangianContains
P52582
predicate
Indicates that a given term, field, or interaction is included as part of the Lagrangian in a physical or mathematical model.
All labels observed (5)
| Label | Occurrences |
|---|---|
| LagrangianContains canonical | 8 |
| hasLagrangianDensity | 5 |
| LagrangianDensityIncludes | 2 |
| LagrangianTerm | 1 |
| hasLagrangianForm | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: LagrangianContains
Generated description
Indicates that a given term, field, or interaction is included as part of the Lagrangian in a physical or mathematical model.
Sample triples (17)
| Subject | Object |
|---|---|
| Fermi theory of beta decay | four-fermion current–current term ⓘ |
| Klein–Gordon equation | ℒ = 1/2 (∂_μ φ ∂^μ φ − m^2 φ^2) via predicate surface "hasLagrangianDensity" ⓘ |
| Dirac field | Dirac Lagrangian via predicate surface "hasLagrangianDensity" ⓘ |
| Schwinger model | Dirac term for a massless fermion ⓘ |
| Schwinger model | U(1) gauge kinetic term ⓘ |
| Schwinger model | minimal coupling between fermion and gauge field ⓘ |
| Nambu–Jona-Lasinio model | four-fermion contact term ⓘ |
| Nambu–Jona-Lasinio model | chirally symmetric interaction ⓘ |
| Born–Infeld electrodynamics | L = b^2 (1 - sqrt{1 - (1/b^2)(E^2 - B^2) - (1/b^4)(E·B)^2}) via predicate surface "hasLagrangianDensity" ⓘ |
| Yang–Mills theory | −1/4 F^a_{μν} F^{a μν} via predicate surface "LagrangianTerm" ⓘ |
| Yukawa meson theory | meson mass term ⓘ |
| Yukawa meson theory | nucleon-meson interaction term ⓘ |
| Pais–Uhlenbeck oscillator | L contains terms quadratic in acceleration via predicate surface "hasLagrangianForm" ⓘ |
| Proca equation | −¼ F_{μν}F^{μν} via predicate surface "LagrangianDensityIncludes" ⓘ |
| Proca equation | ½ m^2 A_μ A^μ via predicate surface "LagrangianDensityIncludes" ⓘ |
| Brans–Dicke theory | L ∝ √(-g)(φR - ω φ^{-1} ∂_μφ ∂^μφ + L_m) via predicate surface "hasLagrangianDensity" ⓘ |
| Starobinsky R^2 inflation model | L ∝ R + α R^2 (in the Jordan frame) via predicate surface "hasLagrangianDensity" ⓘ |