Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-05-25
Phys.Lett. B309 (1993) 285-288
Physics
High Energy Physics
High Energy Physics - Theory
LATEX, 7 pages
Scientific paper
10.1016/0370-2693(93)90935-B
The $N=\infty$ vector $O(N)$ model is a solvable, interacting field theory in three dimensions ($D$). In a recent paper with A. Chubukov and J. Ye~\cite{self}, we have computed a universal number, $\tilde{c}$, characterizing the size dependence of the free energy at the conformally-invariant critical point of this theory. The result~\cite{self} for $\tilde{c}$ can be expressed in terms of polylogarithms. Here, we use non-trivial polylogarithm identities to show that $\tilde{c}/N = 4/5$, a rational number; this result is curiously parallel to recent work on dilogarithm identities in $D=2$ conformal theories. The amplitude of the stress-stress correlator of this theory, $c$ (which is the analog of the central charge), is determined to be $c/N=3/4$, also rational. Unitary conformal theories in $D=2$ always have $c = \tilde{c}$; thus such a result is clearly not valid in $D=3$.
No associations
LandOfFree
Polylogarithm Identities in a Conformal Field Theory in Three Dimensions 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 Polylogarithm Identities in a Conformal Field Theory in Three Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Polylogarithm Identities in a Conformal Field Theory in Three Dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-70935