Abstract
In recent years, there have been many advances in the hadron structure using lattice QCD. There have also been improvements in hadron charges, form factors and moments, with the continuum-physical limit being taken, removing all lattice artifacts. There was a breakthrough in calculating the Bjorken-x dependence of PDFs in lattice QCD by using large-momentum effective theory and similar frameworks. This breakthrough has led to the emergence and rapid development of direct calculations of Bjorken-x dependent structure. In this talk, I will review recent progress made in lattice QCD and future challenges.
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References
H.W. Lin, Few Body Syst. 63(4), 65 (2022). https://doi.org/10.1007/s00601-022-01764-y
H.W. Lin et al., Prog. Part. Nucl. Phys. 100, 107 (2018). https://doi.org/10.1016/j.ppnp.2018.01.007
M. Constantinou et al., Prog. Part. Nucl. Phys. 121, 103908 (2021). https://doi.org/10.1016/j.ppnp.2021.103908
C. Alexandrou, S. Bacchio, M. Constantinou, J. Finkenrath, K. Hadjiyiannakou, K. Jansen, G. Koutsou, H. Panagopoulos, G. Spanoudes, Phys. Rev. D 101(9), 094513 (2020). https://doi.org/10.1103/PhysRevD.101.094513
Y.B. Yang, M. Gong, J. Liang, H.W. Lin, K.F. Liu, D. Pefkou, P. Shanahan, Phys. Rev. D 98(7), 074506 (2018). https://doi.org/10.1103/PhysRevD.98.074506
Y.B. Yang, J. Liang, Y.J. Bi, Y. Chen, T. Draper, K.F. Liu, Z. Liu, Phys. Rev. Lett. 121(21), 212001 (2018). https://doi.org/10.1103/PhysRevLett.121.212001
C. Alexandrou, M. Constantinou, K. Hadjiyiannakou, K. Jansen, C. Kallidonis, G. Koutsou, A. Vaquero Avilés-Casco, C. Wiese, Phys. Rev. Lett. 119(14), 142002 (2017). https://doi.org/10.1103/PhysRevLett.119.142002
N. Sato, C. Andres, J.J. Ethier, W. Melnitchouk, Phys. Rev. D 101(7), 074020 (2020). https://doi.org/10.1103/PhysRevD.101.074020
T.J. Hou et al., Phys. Rev. D 103(1), 014013 (2021). https://doi.org/10.1103/PhysRevD.103.014013
R.D. Ball et al., Eur. Phys. J. C 77(10), 663 (2017). https://doi.org/10.1140/epjc/s10052-017-5199-5
S. Dulat, T.J. Hou, J. Gao, M. Guzzi, J. Huston, P. Nadolsky, J. Pumplin, C. Schmidt, D. Stump, C.P. Yuan, Phys. Rev. D 93(3), 033006 (2016). https://doi.org/10.1103/PhysRevD.93.033006
L.A. Harland-Lang, A.D. Martin, P. Motylinski, R.S. Thorne, Eur. Phys. J. C 75(5), 204 (2015). https://doi.org/10.1140/epjc/s10052-015-3397-6
S. Alekhin, J. Blümlein, S. Moch, R. Placakyte, Phys. Rev. D 96(1), 014011 (2017). https://doi.org/10.1103/PhysRevD.96.014011
A. Accardi, L.T. Brady, W. Melnitchouk, J.F. Owens, N. Sato, Phys. Rev. D 93(11), 114017 (2016). https://doi.org/10.1103/PhysRevD.93.114017
H. Abramowicz et al., Eur. Phys. J. C 75(12), 580 (2015). https://doi.org/10.1140/epjc/s10052-015-3710-4
Z. Fan, H.W. Lin, M. Zeilbeck, Phys. Rev. D 107(3), 034505 (2023). https://doi.org/10.1103/PhysRevD.107.034505
S. Park, T. Bhattacharya, R. Gupta, H.W. Lin, S. Mondal, B. Yoon, PoS Lattice LATTICE2022, 118 (2023). https://doi.org/10.22323/1.430.0118
Y. Aoki et al., Eur. Phys. J. C 82(10), 869 (2022). https://doi.org/10.1140/epjc/s10052-022-10536-1
R. Gupta, S. Park, M. Hoferichter, E. Mereghetti, B. Yoon, T. Bhattacharya, Phys. Rev. Lett. 127(24), 242002 (2021). https://doi.org/10.1103/PhysRevLett.127.242002
X. Ji, Phys. Rev. Lett. 110, 262002 (2013). https://doi.org/10.1103/PhysRevLett.110.262002
X. Ji, Sci. China Phys. Mech. Astron. 57, 1407 (2014). https://doi.org/10.1007/s11433-014-5492-3
X. Ji, J.H. Zhang, Y. Zhao, Nucl. Phys. B 924, 366 (2017). https://doi.org/10.1016/j.nuclphysb.2017.09.001
H.W. Lin, PoS LATTICE2013, 293 (2014). https://doi.org/10.22323/1.187.0293
H.W. Lin, J.W. Chen, S.D. Cohen, X. Ji, Phys. Rev. D 91, 054510 (2015). https://doi.org/10.1103/PhysRevD.91.054510
J.W. Chen, S.D. Cohen, X. Ji, H.W. Lin, J.H. Zhang, Nucl. Phys. B 911, 246 (2016). https://doi.org/10.1016/j.nuclphysb.2016.07.033
H.W. Lin, J.W. Chen, T. Ishikawa, J.H. Zhang, Phys. Rev. D 98(5), 054504 (2018). https://doi.org/10.1103/PhysRevD.98.054504
C. Alexandrou, K. Cichy, V. Drach, E. Garcia-Ramos, K. Hadjiyiannakou, K. Jansen, F. Steffens, C. Wiese, Phys. Rev. D 92, 014502 (2015). https://doi.org/10.1103/PhysRevD.92.014502
C. Alexandrou, K. Cichy, M. Constantinou, K. Hadjiyiannakou, K. Jansen, F. Steffens, C. Wiese, Phys. Rev. D 96(1), 014513 (2017). https://doi.org/10.1103/PhysRevD.96.014513
C. Alexandrou, K. Cichy, M. Constantinou, K. Hadjiyiannakou, K. Jansen, H. Panagopoulos, F. Steffens, Nucl. Phys. B 923, 394 (2017). https://doi.org/10.1016/j.nuclphysb.2017.08.012
J.W. Chen, T. Ishikawa, L. Jin, H.W. Lin, Y.B. Yang, J.H. Zhang, Y. Zhao, Phys. Rev. D 97(1), 014505 (2018). https://doi.org/10.1103/PhysRevD.97.014505
J.H. Zhang, X. Ji, A. Schäfer, W. Wang, S. Zhao, Phys. Rev. Lett. 122(14), 142001 (2019). https://doi.org/10.1103/PhysRevLett.122.142001
C. Alexandrou, K. Cichy, M. Constantinou, K. Jansen, A. Scapellato, F. Steffens, Phys. Rev. Lett. 121(11), 112001 (2018). https://doi.org/10.1103/PhysRevLett.121.112001
J.W. Chen, L. Jin, H.W. Lin, Y.S. Liu, Y.B. Yang, J.H. Zhang, Y. Zhao (2018)
J.H. Zhang, J.W. Chen, L. Jin, H.W. Lin, A. Schäfer, Y. Zhao, Phys. Rev. D 100(3), 034505 (2019). https://doi.org/10.1103/PhysRevD.100.034505
C. Alexandrou, K. Cichy, M. Constantinou, K. Jansen, A. Scapellato, F. Steffens, Phys. Rev. D 98(9), 091503 (2018). https://doi.org/10.1103/PhysRevD.98.091503
H.W. Lin, J.W. Chen, X. Ji, L. Jin, R. Li, Y.S. Liu, Y.B. Yang, J.H. Zhang, Y. Zhao, Phys. Rev. Lett. 121(24), 242003 (2018). https://doi.org/10.1103/PhysRevLett.121.242003
Z.Y. Fan, Y.B. Yang, A. Anthony, H.W. Lin, K.F. Liu, Phys. Rev. Lett. 121(24), 242001 (2018). https://doi.org/10.1103/PhysRevLett.121.242001
Y.S. Liu, J.W. Chen, L. Jin, R. Li, H.W. Lin, Y.B. Yang, J.H. Zhang, Y. Zhao (2018)
W. Wang, J.H. Zhang, S. Zhao, R. Zhu, Phys. Rev. D 100(7), 074509 (2019). https://doi.org/10.1103/PhysRevD.100.074509
H.W. Lin, R. Zhang, Phys. Rev. D 100(7), 074502 (2019). https://doi.org/10.1103/PhysRevD.100.074502
J.W. Chen, H.W. Lin, J.H. Zhang, Nucl. Phys. B 952, 114940 (2020). https://doi.org/10.1016/j.nuclphysb.2020.114940
H. Liu, Int. J. Mod. Phys. A 35(11n12), 2030006 (2020). https://doi.org/10.1142/S0217751X20300069
Y. Chai et al., Phys. Rev. D 102(1), 014508 (2020). https://doi.org/10.1103/PhysRevD.102.014508
S. Bhattacharya, K. Cichy, M. Constantinou, A. Metz, A. Scapellato, F. Steffens, Phys. Rev. D 102(11), 111501 (2020). https://doi.org/10.1103/PhysRevD.102.111501
H.W. Lin, J.W. Chen, Z. Fan, J.H. Zhang, R. Zhang, Phys. Rev. D 103(1), 014516 (2021). https://doi.org/10.1103/PhysRevD.103.014516
R. Zhang, H.W. Lin, B. Yoon, Phys. Rev. D 104(9), 094511 (2021). https://doi.org/10.1103/PhysRevD.104.094511
Z.Y. Li, Y.Q. Ma, J.W. Qiu, Phys. Rev. Lett. 126(7), 072001 (2021). https://doi.org/10.1103/PhysRevLett.126.072001
Z. Fan, X. Gao, R. Li, H.W. Lin, N. Karthik, S. Mukherjee, P. Petreczky, S. Syritsyn, Y.B. Yang, R. Zhang, Phys. Rev. D 102(7), 074504 (2020). https://doi.org/10.1103/PhysRevD.102.074504
X. Gao, L. Jin, C. Kallidonis, N. Karthik, S. Mukherjee, P. Petreczky, C. Shugert, S. Syritsyn, Y. Zhao, Phys. Rev. D 102(9), 094513 (2020). https://doi.org/10.1103/PhysRevD.102.094513
H.W. Lin, J.W. Chen, R. Zhang (2020)
K. Zhang, Y.Y. Li, Y.K. Huo, A. Schäfer, P. Sun, Y.B. Yang, Phys. Rev. D 104(7), 074501 (2021). https://doi.org/10.1103/PhysRevD.104.074501
C. Alexandrou, K. Cichy, M. Constantinou, J.R. Green, K. Hadjiyiannakou, K. Jansen, F. Manigrasso, A. Scapellato, F. Steffens, Phys. Rev. D 103, 094512 (2021). https://doi.org/10.1103/PhysRevD.103.094512
C. Alexandrou, K. Cichy, M. Constantinou, K. Hadjiyiannakou, K. Jansen, A. Scapellato, F. Steffens, Phys. Rev. Lett. 125(26), 262001 (2020). https://doi.org/10.1103/PhysRevLett.125.262001
H.W. Lin, Phys. Rev. Lett. 127(18), 182001 (2021). https://doi.org/10.1103/PhysRevLett.127.182001
X. Gao, K. Lee, S. Mukherjee, C. Shugert, Y. Zhao, Phys. Rev. D 103(9), 094504 (2021). https://doi.org/10.1103/PhysRevD.103.094504
M. Constantinou et al., Prog. Part. Nucl. Phys. 121, 103908 (2021). https://doi.org/10.1016/j.ppnp.2021.103908
H.W. Lin, Phys. Lett. B 824, 136821 (2022). https://doi.org/10.1016/j.physletb.2021.136821
S. Bhattacharya, K. Cichy, M. Constantinou, J. Dodson, X. Gao, A. Metz, S. Mukherjee, A. Scapellato, F. Steffens, Y. Zhao, Phys. Rev. D 106(11), 114512 (2022). https://doi.org/10.1103/PhysRevD.106.114512
U. Aglietti, M. Ciuchini, G. Corbo, E. Franco, G. Martinelli, L. Silvestrini, Phys. Lett. B 441, 371 (1998). https://doi.org/10.1016/S0370-2693(98)01138-1
G. Martinelli, Nucl. Phys. B, Proc. Suppl. 73, 58 (1999). https://doi.org/10.1016/S0920-5632(99)85007-5
C. Dawson, G. Martinelli, G.C. Rossi, C.T. Sachrajda, S.R. Sharpe, M. Talevi, M. Testa, Nucl. Phys. B 514, 313 (1998). https://doi.org/10.1016/S0550-3213(97)00756-6
S. Capitani, M. Gockeler, R. Horsley, H. Oelrich, D. Petters, P.E.L. Rakow, G. Schierholz, Nucl. Phys. B, Proc. Suppl. 73, 288 (1999). https://doi.org/10.1016/S0920-5632(99)85050-6
S. Capitani, M. Gockeler, R. Horsley, D. Petters, D. Pleiter, P.E.L. Rakow, G. Schierholz, Nucl. Phys. B, Proc. Suppl. 79, 173 (1999). https://doi.org/10.1016/S0920-5632(99)00666-0
X.D. Ji, C.W. Jung, Phys. Rev. Lett. 86, 208 (2001). https://doi.org/10.1103/PhysRevLett.86.208
W. Detmold, C.J.D. Lin, Phys. Rev. D 73, 014501 (2006). https://doi.org/10.1103/PhysRevD.73.014501
V. Braun, D. Müller, Eur. Phys. J. C 55, 349 (2008). https://doi.org/10.1140/epjc/s10052-008-0608-4
A.J. Chambers, R. Horsley, Y. Nakamura, H. Perlt, P.E.L. Rakow, G. Schierholz, A. Schiller, K. Somfleth, R.D. Young, J.M. Zanotti, Phys. Rev. Lett. 118(24), 242001 (2017). https://doi.org/10.1103/PhysRevLett.118.242001
W. Detmold, I. Kanamori, C.J.D. Lin, S. Mondal, Y. Zhao, PoS Lattice LATTICE2018, 106 (2018). https://doi.org/10.22323/1.334.0106
A. Hannaford-Gunn, R. Horsley, Y. Nakamura, H. Perlt, P.E.L. Rakow, G. Schierholz, K. Somfleth, H. Stüben, R.D. Young, J.M. Zanotti, PoS Lattice LATTICE2019, 278 (2020). https://doi.org/10.22323/1.363.0278
R. Horsley, Y. Nakamura, H. Perlt, P.E.L. Rakow, G. Schierholz, K. Somfleth, R.D. Young, J.M. Zanotti, PoS Lattice LATTICE2019, 137 (2020). https://doi.org/10.22323/1.363.0137
W. Detmold, A.V. Grebe, I. Kanamori, C.J.D. Lin, R.J. Perry, Y. Zhao, Phys. Rev. D 104(7), 074511 (2021). https://doi.org/10.1103/PhysRevD.104.074511
K.F. Liu, S.J. Dong, Phys. Rev. Lett. 72, 1790 (1994). https://doi.org/10.1103/PhysRevLett.72.1790
K.F. Liu, S.J. Dong, T. Draper, D. Leinweber, J.H. Sloan, W. Wilcox, R.M. Woloshyn, Phys. Rev. D 59, 112001 (1999). https://doi.org/10.1103/PhysRevD.59.112001
K.F. Liu, Phys. Rev. D 62, 074501 (2000). https://doi.org/10.1103/PhysRevD.62.074501
K.F. Liu, PoS Lattice LATTICE2015, 115 (2016). https://doi.org/10.22323/1.251.0115
K.F. Liu, Phys. Rev. D 96(3), 033001 (2017). https://doi.org/10.1103/PhysRevD.96.033001
K.F. Liu, Phys. Rev. D 102(7), 074502 (2020). https://doi.org/10.1103/PhysRevD.102.074502
Y.Q. Ma, J.W. Qiu, Phys. Rev. Lett. 120(2), 022003 (2018). https://doi.org/10.1103/PhysRevLett.120.022003
G.S. Bali et al., Eur. Phys. J. C 78(3), 217 (2018). https://doi.org/10.1140/epjc/s10052-018-5700-9
G.S. Bali, V.M. Braun, B. Gläßle, M. Göckeler, M. Gruber, F. Hutzler, P. Korcyl, A. Schäfer, P. Wein, J.H. Zhang, Phys. Rev. D 98(9), 094507 (2018). https://doi.org/10.1103/PhysRevD.98.094507
B. Joó, J. Karpie, K. Orginos, A.V. Radyushkin, D.G. Richards, S. Zafeiropoulos, Phys. Rev. Lett. 125(23), 232003 (2020). https://doi.org/10.1103/PhysRevLett.125.232003
R.S. Sufian, J. Karpie, C. Egerer, K. Orginos, J.W. Qiu, D.G. Richards, Phys. Rev. D 99(7), 074507 (2019). https://doi.org/10.1103/PhysRevD.99.074507
R.S. Sufian, C. Egerer, J. Karpie, R.G. Edwards, B. Joó, Y.Q. Ma, K. Orginos, J.W. Qiu, D.G. Richards, Phys. Rev. D 102(5), 054508 (2020). https://doi.org/10.1103/PhysRevD.102.054508
A.V. Radyushkin, Phys. Rev. D 96(3), 034025 (2017). https://doi.org/10.1103/PhysRevD.96.034025
I. Balitsky, W. Morris, A. Radyushkin, Phys. Lett. B 808, 135621 (2020). https://doi.org/10.1016/j.physletb.2020.135621
K. Orginos, A. Radyushkin, J. Karpie, S. Zafeiropoulos, Phys. Rev. D 96(9), 094503 (2017). https://doi.org/10.1103/PhysRevD.96.094503
J. Karpie, K. Orginos, A. Radyushkin, S. Zafeiropoulos, EPJ Web Conf. 175, 06032 (2018). https://doi.org/10.1051/epjconf/201817506032
J. Karpie, K. Orginos, S. Zafeiropoulos, JHEP 11, 178 (2018). https://doi.org/10.1007/JHEP11(2018)178
J. Karpie, K. Orginos, A. Rothkopf, S. Zafeiropoulos, JHEP 04, 057 (2019). https://doi.org/10.1007/JHEP04(2019)057
B. Joó, J. Karpie, K. Orginos, A. Radyushkin, D. Richards, S. Zafeiropoulos, JHEP 12, 081 (2019). https://doi.org/10.1007/JHEP12(2019)081
B. Joó, J. Karpie, K. Orginos, A.V. Radyushkin, D.G. Richards, R.S. Sufian, S. Zafeiropoulos, Phys. Rev. D 100(11), 114512 (2019). https://doi.org/10.1103/PhysRevD.100.114512
A. Radyushkin, Phys. Rev. D 98(1), 014019 (2018). https://doi.org/10.1103/PhysRevD.98.014019
J.H. Zhang, J.W. Chen, C. Monahan, Phys. Rev. D 97(7), 074508 (2018). https://doi.org/10.1103/PhysRevD.97.074508
T. Izubuchi, X. Ji, L. Jin, I.W. Stewart, Y. Zhao, Phys. Rev. D 98(5), 056004 (2018). https://doi.org/10.1103/PhysRevD.98.056004
M. Bhat, K. Cichy, M. Constantinou, A. Scapellato, Phys. Rev. D 103(3), 034510 (2021). https://doi.org/10.1103/PhysRevD.103.034510
Z. Fan, R. Zhang, H.W. Lin, Int. J. Mod. Phys. A 36(13), 2150080 (2021). https://doi.org/10.1142/S0217751X21500809
R.S. Sufian, T. Liu, A. Paul, Phys. Rev. D 103(3), 036007 (2021). https://doi.org/10.1103/PhysRevD.103.036007
N. Karthik, Phys. Rev. D 103(7), 074512 (2021). https://doi.org/10.1103/PhysRevD.103.074512
T. Khan et al., Phys. Rev. D 104(9), 094516 (2021). https://doi.org/10.1103/PhysRevD.104.094516
Z. Fan, H.W. Lin, Phys. Lett. B 823, 136778 (2021). https://doi.org/10.1016/j.physletb.2021.136778
C. Egerer et al., Phys. Rev. D 106(9), 094511 (2022). https://doi.org/10.1103/PhysRevD.106.094511
A. Salas-Chavira, Z. Fan, H.W. Lin, Phys. Rev. D 106(9), 094510 (2022). https://doi.org/10.1103/PhysRevD.106.094510
Z. Fan, W. Good, H.W. Lin (2022)
J. Karpie, K. Orginos, A. Radyushkin, S. Zafeiropoulos, JHEP 11, 024 (2021). https://doi.org/10.1007/JHEP11(2021)024
R. Zhang, C. Honkala, H.W. Lin, J.W. Chen, Phys. Rev. D 102(9), 094519 (2020). https://doi.org/10.1103/PhysRevD.102.094519
X. Gao, A.D. Hanlon, N. Karthik, S. Mukherjee, P. Petreczky, P. Scior, S. Shi, S. Syritsyn, Y. Zhao, K. Zhou, Phys. Rev. D 106(11), 114510 (2022). https://doi.org/10.1103/PhysRevD.106.114510
X. Xiong, X. Ji, J.H. Zhang, Y. Zhao, Phys. Rev. D 90(1), 014051 (2014). https://doi.org/10.1103/PhysRevD.90.014051
Y.Q. Ma, J.W. Qiu, Phys. Rev. D 98(7), 074021 (2018). https://doi.org/10.1103/PhysRevD.98.074021
X. Ji, Y.S. Liu, Y. Liu, J.H. Zhang, Y. Zhao, Rev. Mod. Phys. 93(3), 035005 (2021). https://doi.org/10.1103/RevModPhys.93.035005
X. Gao, A.D. Hanlon, S. Mukherjee, P. Petreczky, P. Scior, S. Syritsyn, Y. Zhao, Phys. Rev. Lett. 128(14), 142003 (2022). https://doi.org/10.1103/PhysRevLett.128.142003
L.B. Chen, W. Wang, R. Zhu, Phys. Rev. Lett. 126(7), 072002 (2021). https://doi.org/10.1103/PhysRevLett.126.072002
M. Constantinou, et al., (2022)
S. Chatrchyan et al., Science 338, 1569 (2012). https://doi.org/10.1126/science.1230816
R. Kogler et al., Rev. Mod. Phys. 91(4), 045003 (2019). https://doi.org/10.1103/RevModPhys.91.045003
J. Mammei, S. Riordan, K. Kumar, J. Wexler, K. Paschke, G. Cates, M. Dalton, X. Zheng, P. Souder, R. Holmes, et al
E. Moffat, W. Melnitchouk, T.C. Rogers, N. Sato, Phys. Rev. D 104(1), 016015 (2021). https://doi.org/10.1103/PhysRevD.104.016015
T.J. Hou, H.W. Lin, M. Yan, C.P. Yuan (2022)
X. Ji, Y. Liu, A. Schäfer, W. Wang, Y.B. Yang, J.H. Zhang, Y. Zhao, Nucl. Phys. B 964, 115311 (2021). https://doi.org/10.1016/j.nuclphysb.2021.115311
D. Stump, J. Pumplin, R. Brock, D. Casey, J. Huston, J. Kalk, H.L. Lai, W.K. Tung, Phys. Rev. D 65, 014012 (2001). https://doi.org/10.1103/PhysRevD.65.014012
M. Aaboud et al., Eur. Phys. J. C 77(6), 367 (2017). https://doi.org/10.1140/epjc/s10052-017-4911-9
J. Pumplin, D.R. Stump, J. Huston, H.L. Lai, P.M. Nadolsky, W.K. Tung, JHEP 07, 012 (2002). https://doi.org/10.1088/1126-6708/2002/07/012
X.D. Ji, Phys. Rev. Lett. 78, 610 (1997). https://doi.org/10.1103/PhysRevLett.78.610
G. Wang, J. Liang, T. Draper, K.F. Liu, Y.B. Yang, Phys. Rev. D 104, 074502 (2021). https://doi.org/10.1103/PhysRevD.104.074502
X. Gao, N. Karthik, S. Mukherjee, P. Petreczky, S. Syritsyn, Y. Zhao, Phys. Rev. D 104(11), 114515 (2021). https://doi.org/10.1103/PhysRevD.104.114515
G.M. Huber et al., Phys. Rev. C 78, 045203 (2008). https://doi.org/10.1103/PhysRevC.78.045203
H.P. Blok et al., Phys. Rev. C 78, 045202 (2008). https://doi.org/10.1103/PhysRevC.78.045202
T. Horn et al., Phys. Rev. C 78, 058201 (2008). https://doi.org/10.1103/PhysRevC.78.058201
T. Horn et al., Phys. Rev. Lett. 97, 192001 (2006). https://doi.org/10.1103/PhysRevLett.97.192001
J. Volmer et al., Phys. Rev. Lett. 86, 1713 (2001). https://doi.org/10.1103/PhysRevLett.86.1713
S.R. Amendolia et al., Nucl. Phys. B 277, 168 (1986). https://doi.org/10.1016/0550-3213(86)90437-2
M. Burkardt, Int. J. Mod. Phys. A 18, 173 (2003). https://doi.org/10.1142/S0217751X03012370
M. Diehl, Phys. Rept. 388, 41 (2003). https://doi.org/10.1016/j.physrep.2003.08.002
Acknowledgements
This work of HL is partly supported by the NSF under grant PHY 2209424 & 1653405 and the Research Corpora on for Science Advancement through the Cottrell Scholar Award.
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Lin, HW. Overview of Lattice Results for Hadron Structure. Few-Body Syst 64, 58 (2023). https://doi.org/10.1007/s00601-023-01842-9
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DOI: https://doi.org/10.1007/s00601-023-01842-9