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The Kaon B-parameter with the Wilson Quark Action using Chiral Ward Identities JLQCD Collaboration
| Content Provider | Semantic Scholar |
|---|---|
| Author | Aoki, Sinya Fukugita, Masataka Hashimoto, Shoji Ishizuka, Naruhito Iwasaki, Yoshitaka Kanaya, Kazuyuki Kuramashi, Y. Okawa, Masanori Ukawa, Akira Yoshie, Tadamasa |
| Copyright Year | 1999 |
| Abstract | A lattice QCD calculation of the kaon B parameter BK is carried out with the Wilson quark action in the quenched approximation at β = 6/g2 = 5.9 − 6.5. The mixing problem of the ∆s = 2 four-quark operators is solved nonperturbatively with full use of chiral Ward identities employing four external quarks with an equal off-shell momentum in the Landau gauge. This method, without invoking any effective theory, enables us to construct the weak fourquark operators exhibiting good chiral behavior. Our results for BK with the non-perturbative mixing coefficients show small scaling violation beyond the lattice cut-off a−1 ∼ 2.5GeV. Our estimate concludes BK(NDR, 2GeV) = 0.69(7) at a−1 = 2.7 − 4.3GeV, which agrees with the value obtained with the Kogut-Susskind quark action. For comparison we also calculate BK with one-loop perturbative mixing coefficients. While this yields incorrect values at finite lattice spacing, a linear extrapolation to the continuum limit as a function of a leads to a result consistent with those obtained with the Ward identity method. 11.15.Ha, 12.38.Gc, 13.75.Cs Typeset using REVTEX 2 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-lat/9901018v2.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-lat/9901018v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Chirality (chemistry) Coefficient Exhibits as Topic Extrapolation Image scaling KAON Lattice QCD Lattice constant Perturbation theory (quantum mechanics) Population Parameter Quenched approximation Sense of identity (observable entity) Susskind–Glogower operator Triune continuum paradigm Ward (environment) |
| Content Type | Text |
| Resource Type | Article |
