Open AccessLarge N Structure of the IIB Matrix Model
Author(s) -
Naofumi Kitsunezaki,
S. Uehara
Publication year - 2001
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.105.515
Subject(s) - physics , coupling constant , scaling , commutative property , lattice (music) , matrix model , lattice field theory , matrix (chemical analysis) , equivalence (formal languages) , mathematical physics , quantum mechanics , pure mathematics , gauge theory , geometry , mathematics , string (physics) , materials science , composite material , acoustics
We study large N behavior of the IIB matrix model using the equivalencebetween the IIB matrix model for finite N and a field theory on anon-commutative periodic lattice with N x N sites. We find that the large Ndependences of correlation functions can be obtained by naively counting thenumber of fields in the field theory on the non-commutative periodic lattice.Furthermore the large N scaling behavior of the coupling constant g isdetermined if we impose that the expectation values of Wilson loops arecalculable.Comment: 10 pages, LaTeX, To be appeared in Prog. Theor. Phys. 105, (2001
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