Open AccessNon-associative slave-boson decomposition
Author(s) -
Vladimir Dzhunushaliev
Publication year - 2007
Publication title -
journal of generalized lie theory and applications
Language(s) - English
Resource type - Journals
eISSN - 1736-5279
pISSN - 1736-4337
DOI - 10.4172/1736-4337.1000110
Subject(s) - constraint (computer aided design) , associative property , mathematics , decomposition , operator (biology) , associative algebra , algebra over a field , boson , pure mathematics , physics , particle physics , algebra representation , chemistry , geometry , cellular algebra , transcription factor , organic chemistry , repressor , biochemistry , gene
An operator constraint for a slave-boson decomposition in t-J model of high temperature superconductivity is considered. It is shown that the constraint can be resolved by introducing a non-associative operator. In this case the constraint is an antiassociative generating relation of a new algebra. Similar constraint is offered for splitting the gluon.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom