Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1992-05-25
Phys.Rev. D46 (1992) 3146-3168
Physics
High Energy Physics
High Energy Physics - Lattice
43 page latex file, 16 postscript figures included
Scientific paper
10.1103/PhysRevD.46.3146
I develop a diagrammatic method for calculating chiral logarithms in the quenched approximation. While not rigorous, the method is based on physically reasonable assumptions, which can be tested by numerical simulations. The main results are that, at leading order in the chiral expansion, (a) there are no chiral logarithms in quenched $f_\pi$, for $m_u=m_d$; (b) the chiral logarithms in $B_K$ and related kaon B-parameters are, for $m_d=m_s$, the same in the quenched approximation as in the full theory; (c) for $m_\pi$ and the condensate, there are extra chiral logarithms due to loops containing the $\eta'$, which lead to a peculiar non-analytic dependence of these quantities on the bare quark mass. Following the work of Gasser and Leutwyler, I discuss how there is a predictable finite volume dependence associated with each chiral logarithm. I compare the resulting predictions with numerical results: for most quantities the expected volume dependence is smaller than the errors, but for $B_V$ and $B_A$ there is an observed dependence which is consistent with the predictions.
No associations
LandOfFree
Quenched Chiral Logarithms 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 Quenched Chiral Logarithms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quenched Chiral Logarithms will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-245689