O(a) Improved Quark Action on Anisotropic Lattices and Perturbative Renormalization of Heavy - Light Currents
Mar, 2001
26 pages
Published in:
- Phys.Rev.D 64 (2001) 074501
e-Print:
- hep-lat/0103026 [hep-lat]
Report number:
- FERMILAB-PUB-01-035-T,
- HUPD-0104,
- RCNP-TH01005,
- UT-CCP-P-102
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Abstract: (arXiv)
We investigate the Symanzik improvement of the Wilson quark action on anisotropic lattices. Taking first a general action with nearest-neighbor and clover interactions, we study the mass dependence of the ratio of the hopping parameters, the clover coefficients, and an improvement coefficient for heavy-light vector and axial vector currents. We show how tree-level improvement can be achieved. For a particular choice of the spatial Wilson coupling, the results simplify, and improvement is possible. (Here is the bare quark mass and the temporal lattice spacing.) With this choice we calculate the renormalization factors of heavy-light bilinear operators at one-loop order of perturbation theory employing the standard plaquette gauge action.Note:
- 26 pages, 8 figures
- fermion: lattice field theory
- lattice field theory: action
- lattice: anisotropy
- mass dependence
- current: renormalization
- Feynman graph: higher-order
References(40)
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