| dbo:abstract |
The Hubbard–Stratonovich (HS) transformation is an exact mathematical transformation invented by Russian physicist Ruslan L. Stratonovich and popularized by British physicist John Hubbard. It is used to convert a particle theory into its respective field theory by linearizing the density operator in the many-body interaction term of the Hamiltonian and introducing an auxiliary scalar field. It is defined via the integral identity where the real constant . The basic idea of the HS transformation is to reformulate a system of particles interacting through two-body potentials into a system of independent particles interacting with a fluctuating field. The procedure is widely used in polymer physics, classical particle physics, spin glass theory, and electronic structure theory. (en) |
| dbo:wikiPageID |
8000600 (xsd:integer) |
| dbo:wikiPageLength |
2721 (xsd:nonNegativeInteger) |
| dbo:wikiPageRevisionID |
984508696 (xsd:integer) |
| dbo:wikiPageWikiLink |
dbr:Scalar_field_theory dbr:Numerical_sign_problem dbr:Mathematics dbr:Density_matrix dbr:Particle_physics dbr:Transformation_(geometry) dbr:William_Rowan_Hamilton dbc:Functions_and_mappings dbr:Spin_glass dbc:Transforms dbr:John_Hubbard_(physicist) dbr:Mean_field_approximation dbr:Scalar_(physics) dbr:Polymer_physics dbr:Ruslan_L._Stratonovich |
| dbp:wikiPageUsesTemplate |
dbt:Reflist |
| dct:subject |
dbc:Functions_and_mappings dbc:Transforms |
| rdf:type |
yago:Abstraction100002137 yago:Function113783816 yago:MathematicalRelation113783581 yago:Relation100031921 yago:WikicatFunctionsAndMappings |
| rdfs:comment |
The Hubbard–Stratonovich (HS) transformation is an exact mathematical transformation invented by Russian physicist Ruslan L. Stratonovich and popularized by British physicist John Hubbard. It is used to convert a particle theory into its respective field theory by linearizing the density operator in the many-body interaction term of the Hamiltonian and introducing an auxiliary scalar field. It is defined via the integral identity (en) |
| rdfs:label |
Hubbard–Stratonovich transformation (en) |
| owl:sameAs |
freebase:Hubbard–Stratonovich transformation wikidata:Hubbard–Stratonovich transformation https://global.dbpedia.org/id/fdbw |
| prov:wasDerivedFrom |
wikipedia-en:Hubbard–Stratonovich_transformation?oldid=984508696&ns=0 |
| foaf:isPrimaryTopicOf |
wikipedia-en:Hubbard–Stratonovich_transformation |
| is dbo:knownFor of |
dbr:John_Hubbard_(physicist) |
| is dbo:wikiPageRedirects of |
dbr:Hubbard-Stratonovich_transformation |
| is dbo:wikiPageWikiLink of |
dbr:Numerical_sign_problem dbr:Common_integrals_in_quantum_field_theory dbr:Conformal_field_theory dbr:Functional_renormalization_group dbr:Polymer_field_theory dbr:John_Hubbard_(physicist) dbr:Auxiliary-field_Monte_Carlo dbr:Auxiliary_field dbr:Weierstrass_transform dbr:Hubbard-Stratonovich_transformation |
| is foaf:primaryTopic of |
wikipedia-en:Hubbard–Stratonovich_transformation |