539 research outputs found
Clique trees of infinite locally finite chordal graphs
We investigate clique trees of infinite locally finite chordal graphs. Our
main contribution is a bijection between the set of clique trees and the
product of local finite families of finite trees. Even more, the edges of a
clique tree are in bijection with the edges of the corresponding collection of
finite trees. This allows us to enumerate the clique trees of a chordal graph
and extend various classic characterisations of clique trees to the infinite
setting
Emerging lattice approach to the K-Unitarity Triangle
It has been clear for past many years that in low energy observables new
physics can only appear as a perturbation. Therefore precise theoretical
predictions and precise experimental measurements have become mandatory. Here
we draw attention to the significant advances that have been made on the
lattice in recent years in , , the long-distance part
of and rare K-decays. Thus, in conjunction with experiments, the
construction of a unitarity triangle purely from Kaon physics should soon
become feasible. Along with the B-unitarity triangle, this should allow for
more stringent tests of the Standard Model and tighter constraints on new
physics.Comment: 9 pages, 6 figures, Version to appear on PL
Non-perturbative renormalization of the static quark theory in a large volume
We report on progress to renormalize non-pertubatively the static heavy quark
theory on the lattice. In particular, we present first results for
position-space renormalization scheme for heavy-light bilinears. We test our
approach on RBC's 16^3 x 32 lattice ensemble with m_pi = 420 MeV, Iwasaki gauge
action and domain wall light fermions.Comment: 7 pages, 6 figures; contribution at the 33rd International Symposium
on Lattice Field Theory, 14 -18 July 2015, Kobe, Japa
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