Built on

J. Liang, M. Sun, Y. B. Yang, T. Draper and K. F. Liu, [arXiv:1901.07526 [hep-ph]]
Original
1901
Earlier work this paper cites.
J. Liang, T. Draper, K.F. Liu, A. Rothkopf, and Y.B. Yang [ χ \chi QCD], Phys. Rev. D 101
Original
1906
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1980
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1995
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K. F. Liu, S. J. Dong, T. Draper, D. Leinweber, J. H. Sloan, W. Wilcox and R. M. Woloshyn, Phys. Rev. D 59
1999
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K. F. Liu, Phys. Rev. D 62
2000
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S. Davidson, S. Forte, P. Gambino, N. Rius and A. Strumia, JHEP 02
2002
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G. P. Zeller et al
2002
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R. S. Sufian, T. Liu, A. Alexandru, S. J. Brodsky, G. F. de Téramond, H. G. Dosch, T. Draper, K. F. Liu and Y. B. Yang, Phys. Lett. B
Original
2003
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Y. B. Yang, J. Liang, Z. Liu and P. Sun, [arXiv:2003.12914 [hep-lat]]
Original
2003
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S. Kretzer, F. Olness, J. Pumplin, D. Stump, W. K. Tung and M. H. Reno, Phys. Rev. Lett. 93
2004
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S. Moch, J. Vermaseren and A. Vogt, Nucl. Phys. B 688
2004
Earlier work this paper cites.

Similar

Y. Chen, A. Alexandru, S. J. Dong, T. Draper, I. Horvath, F. X. Lee, K. F. Liu, N. Mathur, C. Morningstar, M. Peardon, S. Tamhankar, B. L. Young and J. B. Zhang, Phys. Rev. D 73
2006
Cited alongside, same era.
H. Y. Cheng, C. K. Chua and K. F. Liu, Phys. Rev. D 74
2006
Cited alongside, same era.
N. Mathur, A. Alexandru, Y. Chen, S. J. Dong, T. Draper, I. Horvath, F. X. Lee, K. F. Liu, S. Tamhankar and J. B. Zhang, Phys. Rev. D 76
2007
Cited alongside, same era.
K. F. Liu, Prog. Theor. Phys. Suppl. 168
Original
2007
Cited alongside, same era.
A. Cafarella, C. Coriano and M. Guzzi, Comput. Phys. Commun. 179
Original
2008
Cited alongside, same era.

Then

J. C. Peng, W. C. Chang, H. Y. Cheng, T. J. Hou, K. F. Liu and J. W. Qiu, Phys. Lett. B 736
Original
2014
Later among the works it cites.
X. Ji, Sci. China Phys. Mech. Astron. 57
Original
2014
Later among the works it cites.
J. Peng, W. Chang, H. Cheng and K. Liu, Few Body Syst. 56
Original
2015
Later among the works it cites.
K. F. Liu, PoS LATTICE2015
Original
2016
Later among the works it cites.
J. W. Chen, S. D. Cohen, X. Ji, H. W. Lin and J. H. Zhang, Nucl. Phys. B 911
Original
2016
Later among the works it cites.

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2020

PDF in PDFs from Hadronic Tensor and LaMET

Liu, Keh-Fei

Understand

We point out a problem of the phenomenological definition of the valence partons as the difference between the partons and antipartons in the context of the NNLO evolution equations.

After demonstrating that the classification of the parton degrees of freedom (PDF) of the parton distribution functions (PDFs) are the same in the QCD path-intergral formulations of the hadronic tensor and the quasi-PDF with LaMET, we resolve the problem by showing that the proper definition of the valence should be in terms of those in the connected insertions only.
We also prove that the strange partons appear as the disconnected sea in the nucleon.

Built on

J. Liang, M. Sun, Y. B. Yang, T. Draper and K. F. Liu, [arXiv:1901.07526 [hep-ph]]
Original
1901
Earlier work this paper cites.
J. Liang, T. Draper, K.F. Liu, A. Rothkopf, and Y.B. Yang [ χ \chi QCD], Phys. Rev. D 101
Original
1906
Earlier work this paper cites.
K. Gottfried, Phys. Rev. Lett. 18
1967
Earlier work this paper cites.
R. L. Jaffe, Phys. Rev. D 15
1977
Earlier work this paper cites.
S. Brodsky, P. Hoyer, C. Peterson and N. Sakai, Phys. Lett. B 93
1980
Earlier work this paper cites.
K. F. Liu and C. W. Wong, Phys. Lett. B 107
1981
Earlier work this paper cites.
J. C. Collins, D. E. Soper and G. F. Sterman, Adv. Ser. Direct. High Energy Phys. 5
1989
Earlier work this paper cites.
A. Amaudruz et al
1994
Earlier work this paper cites.
K. F. Liu and S. J. Dong, Phys. Rev. Lett. 72
1994
Earlier work this paper cites.
M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory
1995
Earlier work this paper cites.
K. F. Liu, S. J. Dong, T. Draper, D. Leinweber, J. H. Sloan, W. Wilcox and R. M. Woloshyn, Phys. Rev. D 59
1999
Earlier work this paper cites.
K. F. Liu, Phys. Rev. D 62
2000
Earlier work this paper cites.
S. Davidson, S. Forte, P. Gambino, N. Rius and A. Strumia, JHEP 02
2002
Earlier work this paper cites.
G. P. Zeller et al
2002
Earlier work this paper cites.
R. S. Sufian, T. Liu, A. Alexandru, S. J. Brodsky, G. F. de Téramond, H. G. Dosch, T. Draper, K. F. Liu and Y. B. Yang, Phys. Lett. B
Original
2003
Earlier work this paper cites.
Y. B. Yang, J. Liang, Z. Liu and P. Sun, [arXiv:2003.12914 [hep-lat]]
Original
2003
Earlier work this paper cites.
S. Kretzer, F. Olness, J. Pumplin, D. Stump, W. K. Tung and M. H. Reno, Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
S. Moch, J. Vermaseren and A. Vogt, Nucl. Phys. B 688
2004
Earlier work this paper cites.

Similar

Y. Chen, A. Alexandru, S. J. Dong, T. Draper, I. Horvath, F. X. Lee, K. F. Liu, N. Mathur, C. Morningstar, M. Peardon, S. Tamhankar, B. L. Young and J. B. Zhang, Phys. Rev. D 73
2006
Cited alongside, same era.
H. Y. Cheng, C. K. Chua and K. F. Liu, Phys. Rev. D 74
2006
Cited alongside, same era.
N. Mathur, A. Alexandru, Y. Chen, S. J. Dong, T. Draper, I. Horvath, F. X. Lee, K. F. Liu, S. Tamhankar and J. B. Zhang, Phys. Rev. D 76
2007
Cited alongside, same era.
K. F. Liu, Prog. Theor. Phys. Suppl. 168
Original
2007
Cited alongside, same era.
A. Cafarella, C. Coriano and M. Guzzi, Comput. Phys. Commun. 179
Original
2008
Cited alongside, same era.

Then

J. C. Peng, W. C. Chang, H. Y. Cheng, T. J. Hou, K. F. Liu and J. W. Qiu, Phys. Lett. B 736
Original
2014
Later among the works it cites.
X. Ji, Sci. China Phys. Mech. Astron. 57
Original
2014
Later among the works it cites.
J. Peng, W. Chang, H. Cheng and K. Liu, Few Body Syst. 56
Original
2015
Later among the works it cites.
K. F. Liu, PoS LATTICE2015
Original
2016
Later among the works it cites.
J. W. Chen, S. D. Cohen, X. Ji, H. W. Lin and J. H. Zhang, Nucl. Phys. B 911
Original
2016
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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J. Liang et al

Original

2008

Cited alongside, same era.

A. Airapetian et al

Original

2008

Cited alongside, same era.

T. Doi et al

Original

2008

Cited alongside, same era.

K. F. Liu, AIP Conf. Proc. 1030

Original

2008

Cited alongside, same era.

T. Draper, T. Doi, K. F. Liu, D. Mankame, N. Mathur and X. f. Meng, PoS LATTICE2008

Original

2008

Cited alongside, same era.

K. F. Liu, AIP Conf. Proc. 1030

2008

Cited alongside, same era.

F. Buccella, D. V. Bugg, Y. S. Kalashnikova, K. F. Liu, F. Llanes-Estrada, T. Matsuki, J. A. Oller, J. L. Rosner, G. Rupp and M. D. Scadron, AIP Conf. Proc. 1030

2008

Cited alongside, same era.

K. F. Liu, Phys. Rev. D 96

Original

2017

Later among the works it cites.

A. V. Radyushkin, Phys. Rev. D 96

Original

2017

Later among the works it cites.

R. A. Briceno, J. J. Dudek, R. G. Edwards and D. J. Wilson, Phys. Rev. Lett. 118

Original