Lorce, Cédric ; Université de Liège > Département d'astrophys., géophysique et océanographie (AGO) > Inter. fondamentales en physique et astrophysique (IFPA)
Language :
English
Title :
The light-front gauge-invariant energy-momentum tensor
Publication date :
2015
Journal title :
Journal of High Energy Physics
ISSN :
1126-6708
eISSN :
1029-8479
Publisher :
Institute of Physics Publishing (IOP), Bristol, United Kingdom
F.J. Belinfante, On the spin angular momentum of mesons, Physica6 (1939) 887.
F.J. Belinfante, On the current and the density of the electric charge, the energy, the linear momentum and the angular momentum of arbitrary fields, Physica7 (1940) 449.
L. Rosenfeld, Sur le tenseur d’impulsion-energie, Mém. Acad. Roy. Belg.18 (1940) 1.
F.W. Hehl, P. Von Der Heyde, G.D. Kerlick and J.M. Nester, General relativity with spin and torsion: foundations and prospects, Rev. Mod. Phys.48 (1976) 393 [INSPIRE].
F.W. Hehl, J.D. McCrea, E.W. Mielke and Y. Ne’eman, Metric affine gauge theory of gravity: field equations, Noether identities, world spinors and breaking of dilation invariance, Phys. Rept.258 (1995) 1 [gr-qc/9402012] [INSPIRE].
Y.N. Obukhov, A.J. Silenko and O.V. Teryaev, Spin-torsion coupling and gravitational moments of Dirac fermions: theory and experimental bounds, Phys. Rev.D 90 (2014) 124068 [arXiv:1410.6197] [INSPIRE].
C.W. Misner, K.S. Thorne and J.A. Wheeler, Gravitation, W.H. Freeman and Co., San Francisco U.S.A. (1973).
R.L. Jaffe and A. Manohar, The G(1) problem: fact and fantasy on the spin of the proton, Nucl. Phys.B 337 (1990) 509 [INSPIRE].
X.-D. Ji, Gauge-invariant decomposition of nucleon spin, Phys. Rev. Lett.78 (1997) 610 [hep-ph/9603249] [INSPIRE].
G.M. Shore and B.E. White, The gauge invariant angular momentum sum rule for the proton, Nucl. Phys.B 581 (2000) 409 [hep-ph/9912341] [INSPIRE].
C. Cohen-Tannoudji, J. Dupont-Roc, and C. Grynberg, Photons and atoms, John Wiley and Sons Inc., New York U.S.A. (1989).
J.W. Simmons and M.J. Guttman, States, waves, and photons: a modern introduction to light, Addison-Wesley, Reading U.K. (1970).
K.Y. Bliokh, J. Dressel and F. Nori, Conservation of the spin and orbital angular momenta in electromagnetism, New J. Phys.16 (2014) 093037 [arXiv:1404.5486] [INSPIRE].
D. de Florian, R. Sassot, M. Stratmann and W. Vogelsang, Evidence for polarization of gluons in the proton, Phys. Rev. Lett.113 (2014) 012001 [arXiv:1404.4293] [INSPIRE].
X.-S. Chen, X.-F. Lu, W.-M. Sun, F. Wang and T. Goldman, Spin and orbital angular momentum in gauge theories: Nucleon spin structure and multipole radiation revisited, Phys. Rev. Lett.100 (2008) 232002 [arXiv:0806.3166] [INSPIRE].
E. Leader and C. Lorcé, The angular momentum controversy: what’s it all about and does it matter?, Phys. Rept.541 (2014) 163 [arXiv:1309.4235] [INSPIRE].
M. Wakamatsu, Is gauge-invariant complete decomposition of the nucleon spin possible?, Int. J. Mod. Phys.A 29 (2014) 1430012 [arXiv:1402.4193] [INSPIRE].
Y. Hatta, Gluon polarization in the nucleon demystified, Phys. Rev.D 84 (2011) 041701 [arXiv:1101.5989] [INSPIRE].
C. Lorcé, Geometrical approach to the proton spin decomposition, Phys. Rev.D 87 (2013) 034031 [arXiv:1205.6483] [INSPIRE].
C. Lorcé, Wilson lines and orbital angular momentum, Phys. Lett.B 719 (2013) 185 [arXiv:1210.2581] [INSPIRE].
P.A.M. Dirac, Gauge invariant formulation of quantum electrodynamics, Can. J. Phys.33 (1955) 650 [INSPIRE].
S. Mandelstam, Quantum electrodynamics without potentials, Annals Phys.19 (1962) 1 [INSPIRE].
C. Lorcé, Gauge symmetry and background independence: should the proton spin decomposition be path independent?, Nucl. Phys.A 925 (2014) 1 [arXiv:1306.0456] [INSPIRE].
J. Collins, Foundations of perturbative QCD, Cambridge Univeristy Press, Cambridge U.K. (2011).
C. Lorcé and B. Pasquini, Quark Wigner distributions and orbital angular momentum, Phys. Rev.D 84 (2011) 014015 [arXiv:1106.0139] [INSPIRE].
C. Lorcé, B. Pasquini, X. Xiong and F. Yuan, The quark orbital angular momentum from Wigner distributions and light-cone wave functions, Phys. Rev.D 85 (2012) 114006 [arXiv:1111.4827] [INSPIRE].
Y. Hatta, Notes on the orbital angular momentum of quarks in the nucleon, Phys. Lett.B 708 (2012) 186 [arXiv:1111.3547] [INSPIRE].
S. Meissner, A. Metz and M. Schlegel, Generalized parton correlation functions for a spin-1/2 hadron, JHEP08 (2009) 056 [arXiv:0906.5323] [INSPIRE].
K. Kanazawa, C. Lorcé, A. Metz, B. Pasquini and M. Schlegel, Twist-2 generalized transverse-momentum dependent parton distributions and the spin/orbital structure of the nucleon, Phys. Rev.D 90 (2014) 014028 [arXiv:1403.5226] [INSPIRE].
A. Mukherjee, S. Nair and V.K. Ojha, Quark Wigner distributions and orbital angular momentum in light-front dressed quark model, Phys. Rev.D 90 (2014) 014024 [arXiv:1403.6233] [INSPIRE].
A. Mukherjee, S. Nair and V.K. Ojha, Wigner distributions for gluons in a light-front dressed quark model, Phys. Rev.D 91 (2015) 054018 [arXiv:1501.03728] [INSPIRE].
G.A. Miller, Electron structure: shape, size and generalized parton distributions in QED, Phys. Rev.D 90 (2014) 113001 [arXiv:1409.7412] [INSPIRE].
T. Liu, Quark orbital motions from Wigner distributions, arXiv:1406.7709 [INSPIRE].
T. Liu and B.-Q. Ma, Quark Wigner distributions in a light-cone spectator model, Phys. Rev.D 91 (2015) 034019 [arXiv:1501.07690] [INSPIRE].
B.U. Musch, P. Hagler, J.W. Negele and A. Schafer, Exploring quark transverse momentum distributions with lattice QCD, Phys. Rev.D 83 (2011) 094507 [arXiv:1011.1213] [INSPIRE].
B.U. Musch, P. Hagler, M. Engelhardt, J.W. Negele and A. Schafer, Sivers and Boer-Mulders observables from lattice QCD, Phys. Rev.D 85 (2012) 094510 [arXiv:1111.4249] [INSPIRE].
X. Ji, Parton physics on a euclidean lattice, Phys. Rev. Lett.110 (2013) 262002 [arXiv:1305.1539] [INSPIRE].
X. Ji, J.-H. Zhang and Y. Zhao, Justifying the naive partonic sum rule for proton spin, Phys. Lett.B 743 (2015) 180 [arXiv:1409.6329] [INSPIRE].
H.-W. Lin, J.-W. Chen, S.D. Cohen and X. Ji, Flavor structure of the nucleon sea from lattice QCD, Phys. Rev.D 91 (2015) 054510 [arXiv:1402.1462] [INSPIRE].
Y.-Q. Ma and J.-W. Qiu, Extracting parton distribution functions from lattice QCD calculations, arXiv:1404.6860 [INSPIRE].
M. Wakamatsu, On gauge-invariant decomposition of nucleon spin, Phys. Rev.D 81 (2010) 114010 [arXiv:1004.0268] [INSPIRE].
M. Wakamatsu, Gauge and frame-independent decomposition of nucleon spin, Phys. Rev.D 83 (2011) 014012 [arXiv:1007.5355] [INSPIRE].
M.V. Polyakov, Generalized parton distributions and strong forces inside nucleons and nuclei, Phys. Lett.B 555 (2003) 57 [hep-ph/0210165] [INSPIRE].
B.L.G. Bakker, E. Leader and T.L. Trueman, A Critique of the angular momentum sum rules and a new angular momentum sum rule, Phys. Rev.D 70 (2004) 114001 [hep-ph/0406139] [INSPIRE].
E. Leader, Unexpected equality of the quark and gluon Belinfante angular momentum and Canonical angular momentum in the light-cone gauge A+ = 0, in a spin 1/2 nucleon, arXiv:1212.2328 [INSPIRE].
C. Lorcé, Gauge-covariant canonical formalism revisited with application to the proton spin decomposition, Phys. Rev.D 88 (2013) 044037 [arXiv:1302.5515] [INSPIRE].
X. Ji, X. Xiong and F. Yuan, Probing parton orbital angular momentum in longitudinally polarized nucleon, Phys. Rev.D 88 (2013) 014041 [arXiv:1207.5221] [INSPIRE].
C. Lorcé and B. Pasquini, Structure analysis of the generalized correlator of quark and gluon for a spin-1/2 target, JHEP09 (2013) 138 [arXiv:1307.4497] [INSPIRE].
D.W. Sivers, Single spin production asymmetries from the hard scattering of point-like constituents, Phys. Rev.D 41 (1990) 83 [INSPIRE].
M. Burkardt, Quark correlations and single spin asymmetries, Phys. Rev.D 69 (2004) 057501 [hep-ph/0311013] [INSPIRE].
M. Burkardt, Sivers mechanism for gluons, Phys. Rev.D 69 (2004) 091501 [hep-ph/0402014] [INSPIRE].
Y. Hatta and S. Yoshida, Twist analysis of the nucleon spin in QCD, JHEP10 (2012) 080 [arXiv:1207.5332] [INSPIRE].
S.J. Brodsky, D.S. Hwang, B.-Q. Ma and I. Schmidt, Light cone representation of the spin and orbital angular momentum of relativistic composite systems, Nucl. Phys.B 593 (2001) 311 [hep-th/0003082] [INSPIRE].
O.V. Teryaev, Spin structure of nucleon and equivalence principle, hep-ph/9904376 [INSPIRE].
M. Diehl, Generalized parton distributions, Phys. Rept.388 (2003) 41 [hep-ph/0307382] [INSPIRE].
D.V. Kiptily and M.V. Polyakov, Genuine twist three contributions to the generalized parton distributions from instantons, Eur. Phys. J.C 37 (2004) 105 [hep-ph/0212372] [INSPIRE].
D. Boer, P.J. Mulders and F. Pijlman, Universality of T odd effects in single spin and azimuthal asymmetries, Nucl. Phys.B 667 (2003) 201 [hep-ph/0303034] [INSPIRE].
C.J. Bomhof and P.J. Mulders, Non-universality of transverse momentum dependent parton distribution functions, Nucl. Phys.B 795 (2008) 409 [arXiv:0709.1390] [INSPIRE].
M.G.A. Buffing and P.J. Mulders, Gauge links for transverse momentum dependent correlators at tree-level, JHEP07 (2011) 065 [arXiv:1105.4804] [INSPIRE].
M.G.A. Buffing, A. Mukherjee and P.J. Mulders, Generalized universality of higher transverse moments of quark TMD correlators, Phys. Rev.D 86 (2012) 074030 [arXiv:1207.3221] [INSPIRE].
X. Ji, X. Xiong and F. Yuan, Proton spin structure from measurable parton distributions, Phys. Rev. Lett.109 (2012) 152005 [arXiv:1202.2843] [INSPIRE].
M. Burkardt, Parton orbital angular momentum and final state interactions, Phys. Rev.D 88 (2013) 014014 [arXiv:1205.2916] [INSPIRE].
A. Bacchetta, M. Diehl, K. Goeke, A. Metz, P.J. Mulders and M. Schlegel, Semi-inclusive deep inelastic scattering at small transverse momentum, JHEP02 (2007) 093 [hep-ph/0611265] [INSPIRE].
D. Boer and P.J. Mulders, Time reversal odd distribution functions in leptoproduction, Phys. Rev.D 57 (1998) 5780 [hep-ph/9711485] [INSPIRE].
C. Lorcé and B. Pasquini, Pretzelosity TMD and quark orbital angular momentum, Phys. Lett.B 710 (2012) 486 [arXiv:1111.6069] [INSPIRE].