Finite-volume two-pion energies and scattering in the quenched approximation
- Department of Physics, Washington University, St. Louis, Missouri 63130 (United States)
We investigate how Luescher{close_quote}s relation between the finite-volume energy of two pions at rest and pion scattering lengths has to be modified in quenched QCD. We find that this relation changes drastically, and in particular, that {open_quote}{open_quote}enhanced finite-volume corrections{close_quote}{close_quote} of order {ital L}{sup 0}=1 and {ital L}{sup -}{sup 2} occur at one loop ({ital L} is the linear size of the box), due to the special properties of the {eta}{prime} in the quenched approximation. We define quenched pion scattering lengths, and show that they are linearly divergent in the chiral limit. We estimate the size of these various effects in some numerical examples, and find that they can be substantial. {copyright} {ital 1995 The American Physical Society.}
- DOE Contract Number:
- FG02-91ER40628
- OSTI ID:
- 254924
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 1 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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