# Perturbative renormalization of moments of quark momentum, helicity and transversity distributions with overlap and Wilson fermions

@article{Capitani2001PerturbativeRO,
title={Perturbative renormalization of moments of quark momentum, helicity and transversity distributions with overlap and Wilson fermions},
author={Stefano Capitani},
journal={Nuclear Physics},
year={2001},
volume={597},
pages={313-336}
}
• S. Capitani
• Published 14 September 2000
• Physics
• Nuclear Physics
11 Citations

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## References

SHOWING 1-10 OF 71 REFERENCES
Perturbative renormalization of weak Hamiltonian four-fermion operators with overlap fermions
• Physics
• 2000
The renormalization of the most general dimension-six four-fermion operators without power subtractions is studied at one loop in lattice perturbation theory using overlap fermions. As expected,
Chiral symmetry, quark mass, and scaling of the overlap fermions
The chiral symmetry relation and scaling of the overlap fermions are studied numerically on the quenched lattices at 3 couplings with about the same physical volume and the critical slowing down sets in abruptly at a very small quark mass close to those of the physical u and d quarks.
Transversely polarized parton densities, their evolution and their measurement
• Physics
• 1990
AbstractThe transverse spin asymmetry of a quark in a baryon and the linear polarization of a gluon in a vector meson are studied from thet-channel point of view. Using the Altarelli-Parisi approach,