Built on

A. M. Polyakov, Gauge Fields as Rings of Glue
1980
Earlier work this paper cites.
V. Dotsenko and S. Vergeles, Renormalizability of Phase Factors in the Nonabelian Gauge Theory
1980
Earlier work this paper cites.
J. C. Collins and D. E. Soper, Parton Distribution and Decay Functions
1982
Earlier work this paper cites.
J. C. Collins, D. E. Soper, and G. Sterman, Factorization of Hard Processes in QCD
1988
Earlier work this paper cites.
A. Martin, W. Stirling, R. Thorne, and G. Watt, Parton distributions for the LHC
Original
2009
Earlier work this paper cites.
X. Ji, Parton Physics on a Euclidean Lattice
Original
2013
Earlier work this paper cites.
N. Brambilla et al
Original
2014
Earlier work this paper cites.
S. Alekhin, J. Bluemlein, and S. Moch, The ABM parton distributions tuned to LHC data
Original
2014
Earlier work this paper cites.
X. Ji, Parton Physics from Large-Momentum Effective Field Theory
Original
2014
Earlier work this paper cites.

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2017

On the Renormalizability of Quasi Parton Distribution Functions

Ishikawa, Tomomi, Ma, Yan-Qing, Qiu, Jian-Wei et al.

Understand

Quasi-parton distribution functions have received a lot of attentions in both perturbative QCD and lattice QCD communities in recent years because they not only carry good information on the parton distribution functions, but also could be evaluated by lattice QCD simulations.

However, unlike the parton distribution functions, the quasi-parton distribution functions have perturbative ultraviolet power divergences because they are not defined by twist-2 operators.
In this paper, we identify all sources of ultraviolet divergences for the quasi-parton distribution functions in coordinate-space, and demonstrate that power divergences, as well as all logarithmic divergences can be renormalized multiplicatively to all orders in QCD perturbation theory.

Built on

A. M. Polyakov, Gauge Fields as Rings of Glue
1980
Earlier work this paper cites.
V. Dotsenko and S. Vergeles, Renormalizability of Phase Factors in the Nonabelian Gauge Theory
1980
Earlier work this paper cites.
J. C. Collins and D. E. Soper, Parton Distribution and Decay Functions
1982
Earlier work this paper cites.
J. C. Collins, D. E. Soper, and G. Sterman, Factorization of Hard Processes in QCD
1988
Earlier work this paper cites.
A. Martin, W. Stirling, R. Thorne, and G. Watt, Parton distributions for the LHC
Original
2009
Earlier work this paper cites.
X. Ji, Parton Physics on a Euclidean Lattice
Original
2013
Earlier work this paper cites.
N. Brambilla et al
Original
2014
Earlier work this paper cites.
S. Alekhin, J. Bluemlein, and S. Moch, The ABM parton distributions tuned to LHC data
Original
2014
Earlier work this paper cites.
X. Ji, Parton Physics from Large-Momentum Effective Field Theory
Original
2014
Earlier work this paper cites.