Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-06-03
Phys.Lett. B570 (2003) 73-81
Physics
High Energy Physics
High Energy Physics - Theory
Tex, 22 pages
Scientific paper
10.1016/j.physletb.2003.07.025
We consider the partition function for a matrix model with a global unitary invariant energy function. We show that the averages over the partition function of global unitary invariant trace polynomials of the matrix variables are the same when calculated with any choice of a global unitary fixing, while averages of such polynomials without a trace define matrix-valued correlation functions, that depend on the choice of unitary fixing. The unitary fixing is formulated within the standard Faddeev-Popov framework, in which the squared Vandermonde determinant emerges as a factor of the complete Faddeev-Popov determinant. We give the ghost representation for the FP determinant, and the corresponding BRST invariance of the unitary-fixed partition function. The formalism is relevant for deriving Ward identities obeyed by matrix-valued correlation functions.
Adler Stephen L.
Horwitz Lawrence P.
No associations
LandOfFree
Global unitary fixing and matrix-valued correlations in matrix models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Global unitary fixing and matrix-valued correlations in matrix models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global unitary fixing and matrix-valued correlations in matrix models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-78924