Speaker
Kenichi Konishi
(PI)
Description
We continue the analysis started in a recent paper of the large-N
two-dimensional CP(N-1)sigma model, defined on a finite space interval L
with Dirichlet (or Neumann) boundary conditions. We focus our attention on
the problem of the renormalized energy density E(x,Λ, L) which is found to
be a sum of two terms, a constant term coming from the sum over modes, and
a term proportional to the mass gap. The approach to E(x,Λ, L) → N 4πΛ 2
at large LΛ is shown, both analytically and numerically, to be
exponential: no power corrections are present and in particular no
L¨uscher term appears. This is consistent with the earlier result which
states that the system has a unique massive phase, which interpolates
smoothly between the classical weakly-coupled limit for LΛ → 0 and the
“confined” phase of the standard CP(N-1) model in two dimensions for LΛ →
∞.
