Non-commutative Principal Chiral Models
Author(s) -
Stefano Profumo
Publication year - 2002
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2002/10/035
Subject(s) - commutative property , limiting , brane , consistency (knowledge bases) , physics , scaling , limit (mathematics) , theoretical physics , mathematics , pure mathematics , mathematical analysis , geometry , engineering , mechanical engineering
Twisted Eguchi-Kawai reduced chiral models are shown to be formallyequivalent to a U(1) non-commutative parent theory. The non-commutative theorydescribes the vacuum dynamics of the non-commutative charged tachyonic field ofa brane system. To make contact with the continuum non-commutative theory, adouble scaling large N limit for the reduced model is required. We show apossible limiting procedure, which we propose to investigate numerically. Ournumerical results show substantial consistency with the outlined procedureComment: 15 pages, 2 figure
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