Two-loop renormalization of vector, axial-vector, and tensor fermion bilinears on the lattice
- Department of Physics, University of Cyprus, P.O. Box 20537, Nicosia CY-1678 (Cyprus)
We compute the two-loop renormalization functions, in the RI{sup '} scheme, of local bilinear quark operators {psi}{gamma}{psi}, where {gamma} corresponds to the vector, axial-vector, and tensor Dirac operators, in the lattice formulation of QCD. We consider both the flavor nonsinglet and singlet operators. We use the clover action for fermions and the Wilson action for gluons. Our results are given as a polynomial in c{sub SW}, in terms of both the renormalized and bare coupling constant, in the renormalized Feynman gauge. Finally, we present our results in the MS scheme, for easier comparison with calculations in the continuum. The corresponding results, for fermions in an arbitrary representation, together with some special features of superficially divergent integrals, are included in the appendices.
- OSTI ID:
- 21308442
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 79, Issue 9; Other Information: DOI: 10.1103/PhysRevD.79.094508; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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