Quark and gluon contributions to the QCD trace anomaly

Hatta, Yoshitaka; Rajan, Abha; Tanaka, Kazuhiro

doi:10.1007/JHEP12(2018)008

Title: Quark and gluon contributions to the QCD trace anomaly

Journal Article · 02 December 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP12(2018)008 · OSTI ID:1484886

Hatta, Yoshitaka ^[1]; Rajan, Abha ^[2]; Tanaka, Kazuhiro ^[3]

Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Physics; Kyoto Univ. (Japan). Yukawa Inst. for Theoretical Physics
Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Physics
Juntendo Univ., Inzai (Japan). Dept. of Physics; National Lab. for High Energy Physics (KEK), Tokai (Japan). Inst. of Particle and Nuclear Studies, KEK Theory Center

We show that, in dimensional reguralization in the minimal subtraction scheme, the QCD trace anomaly can be unambiguously decomposed into two parts coming from the renormalized quark and gluon energy momentum tensors. Here, we carry out this decomposition at the two-loop level. The result can be used to constrain the renormalization group properties of the nucleon’s twist-four gravitational form factor $$\bar{C}$$_q,g.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: SC0012704

OSTI ID:: 1484886

Report Number(s):: BNL--209637-2018-JAAM

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (28)

Twist-three relations of gluonic correlators for the transversely polarized nucleon Hatta, Yoshitaka; Tanaka, Kazuhiro; Yoshida, Shinsuke Journal of High Energy Physics, Vol. 2013, Issue 2 https://doi.org/10.1007/JHEP02(2013)003	journal	February 2013
Nucleon gravitational form factors from instantons: forces between quark and gluon subsystems Polyakov, Maxim V.; Son, Hyeon-Dong Journal of High Energy Physics, Vol. 2018, Issue 9 https://doi.org/10.1007/JHEP09(2018)156	journal	September 2018
$J/\psi$ -photoproduction and the gluon structure of the nucleon Kharzeev, D.; Satz, H.; Syamtomov, A. The European Physical Journal C, Vol. 9, Issue 3 https://doi.org/10.1007/s100520050039	journal	July 1999
QCD corrections to the nucleon's spin structure function g2(x, Q2) Kodaira, Jiro; Yasui, Yoshiaki; Tanaka, Kazuhiro Physics Letters B, Vol. 387, Issue 4 https://doi.org/10.1016/0370-2693(96)01087-8	journal	October 1996
The energy-momentum tensor in a non-Abelian quark gluon theory Nielsen, N. K. Nuclear Physics B, Vol. 120, Issue 2 https://doi.org/10.1016/0550-3213(77)90040-2	journal	March 1977
Higher order QCD effects in inclusive annihilation and deep inelastic scattering Floratos, E. G.; Kounnas, C.; Lacaze, R. Nuclear Physics B, Vol. 192, Issue 2 https://doi.org/10.1016/0550-3213(81)90434-X	journal	December 1981
The renormalization of FF Tarrach, R. Nuclear Physics B, Vol. 196, Issue 1 https://doi.org/10.1016/0550-3213(82)90301-7	journal	March 1982
Theory of power corrections to deep inelastic scattering in quantum chromodynamics (I). Q −2 effects Shuryak, E. V.; Vainshtein, A. I. Nuclear Physics B, Vol. 199, Issue 3 https://doi.org/10.1016/0550-3213(82)90355-8	journal	June 1982
Evolution equations for QCD string operators Balitsky, I. I.; Braun, V. M. Nuclear Physics B, Vol. 311, Issue 3 https://doi.org/10.1016/0550-3213(89)90168-5	journal	January 1989
The 3-loop QCD calculation of the moments of deep inelastic structure functions Larin, S. A.; Nogueira, P.; van Ritbergen, T. Nuclear Physics B, Vol. 492, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)80038-7	journal	May 1997
QCD sum rules for quark–gluon three-body components in the B meson Nishikawa, Tetsuo; Tanaka, Kazuhiro Nuclear Physics B, Vol. 879 https://doi.org/10.1016/j.nuclphysb.2013.12.007	journal	February 2014
Transverse polarization of the nucleon in parton picture Ji, Xiangdong; Xiong, Xiaonu; Yuan, Feng Physics Letters B, Vol. 717, Issue 1-3 https://doi.org/10.1016/j.physletb.2012.09.027	journal	October 2012
A critical assessment of the angular momentum sum rules Leader, Elliot Physics Letters B, Vol. 720, Issue 1-3 https://doi.org/10.1016/j.physletb.2013.01.050	journal	March 2013
Renormalization Collins, John C. https://doi.org/10.1017/CBO9780511622656	book	March 2010
Energy–momentum tensor from the Yang–Mills gradient flow Suzuki, Hiroshi Progress of Theoretical and Experimental Physics, Vol. 2013, Issue 8 https://doi.org/10.1093/ptep/ptt059	journal	August 2013
Lattice energy-momentum tensor from the Yang-Mills gradient flow--inclusion of fermion fields Makino, H.; Suzuki, H. Progress of Theoretical and Experimental Physics, Vol. 2014, Issue 6 https://doi.org/10.1093/ptep/ptu070	journal	June 2014
Study of off-forward parton distributions Ji, Xiangdong; Melnitchouk, W.; Song, X. Physical Review D, Vol. 56, Issue 9 https://doi.org/10.1103/PhysRevD.56.5511	journal	November 1997
SU(3) symmetry-breaking corrections to meson distribution amplitudes Braun, V. M.; Lenz, A. Physical Review D, Vol. 70, Issue 7 https://doi.org/10.1103/PhysRevD.70.074020	journal	October 2004
Gravitational form factors and transverse spin sum rule in a light front quark-diquark model in AdS/QCD Chakrabarti, Dipankar; Mondal, Chandan; Mukherjee, Asmita Physical Review D, Vol. 91, Issue 11 https://doi.org/10.1103/PhysRevD.91.114026	journal	June 2015
Hadron tomography by generalized distribution amplitudes in the pion-pair production process γ * γ → π 0 π 0 and gravitational form factors for pion Kumano, S.; Song, Qin-Tao; Teryaev, O. V. Physical Review D, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevD.97.014020	journal	January 2018
Operator relations for gravitational form factors of a spin-0 hadron Tanaka, Kazuhiro Physical Review D, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevD.98.034009	journal	August 2018
Holographic J / ψ production near threshold and the proton mass problem Hatta, Yoshitaka; Yang, Di-Lun Physical Review D, Vol. 98, Issue 7 https://doi.org/10.1103/PhysRevD.98.074003	journal	October 2018
Gauge-Invariant Decomposition of Nucleon Spin Ji, Xiangdong Physical Review Letters, Vol. 78, Issue 4 https://doi.org/10.1103/PhysRevLett.78.610	journal	January 1997
Forces inside hadrons: Pressure, surface tension, mechanical radius, and all that Polyakov, Maxim V.; Schweitzer, Peter International Journal of Modern Physics A, Vol. 33, Issue 26 https://doi.org/10.1142/S0217751X18300259	journal	September 2018
Polarized Structure Functions in QCD Kodaira, Jiro; Tanaka, Kazuhiro Progress of Theoretical Physics, Vol. 101, Issue 2 https://doi.org/10.1143/PTP.101.191	journal	February 1999
Renormalization of Gauge-Invariant Operators for the Structure Function g2(x, Q2) Kodaira, J.; Nasuno, T.; Tochimura, H. Progress of Theoretical Physics, Vol. 99, Issue 2 https://doi.org/10.1143/PTP.99.315	journal	February 1998
Twist-three relations of gluonic correlators for the transversely polarized nucleon Hatta, Yoshitaka; Tanaka, Kazuhiro; Yoshida, Shinsuke arXiv https://doi.org/10.48550/arxiv.1211.2918	text	January 2012
Nucleon gravitational form factors from instantons: forces between quark and gluon subsystems Polyakov, Maxim V.; Son, Hyeon-Dong arXiv https://doi.org/10.48550/arxiv.1808.00155	text	January 2018

Cited By (8)

Three-loop formula for quark and gluon contributions to the QCD trace anomaly Tanaka, Kazuhiro Journal of High Energy Physics, Vol. 2019, Issue 1 https://doi.org/10.1007/jhep01(2019)120	journal	January 2019
Impact of dynamical chiral symmetry breaking and dynamical diquark correlations on proton generalized parton distributions Freese, Adam; Cloët, Ian C. Physical Review C, Vol. 101, Issue 3 https://doi.org/10.1103/physrevc.101.035203	journal	March 2020
Near threshold J / ψ and ϒ photoproduction at JLab and RHIC Hatta, Yoshitaka; Rajan, Abha; Yang, Di-Lun Physical Review D, Vol. 100, Issue 1 https://doi.org/10.1103/physrevd.100.014032	journal	July 2019
Revisiting the mechanical properties of the nucleon Lorcé, Cédric; Moutarde, Hervé; Trawiński, Arkadiusz P. The European Physical Journal C, Vol. 79, Issue 1 https://doi.org/10.1140/epjc/s10052-019-6572-3	journal	January 2019
Nucleon’s energy–momentum tensor form factors in light-cone QCD Azizi, K.; Özdem, U. The European Physical Journal C, Vol. 80, Issue 2 https://doi.org/10.1140/epjc/s10052-020-7676-5	journal	February 2020
Revisiting the mechanical properties of the nucleon Lorcé, Cédric; Moutarde, Hervé; Trawiński, Arkadiusz P. arXiv https://doi.org/10.48550/arxiv.1810.09837	text	January 2018
Three-loop formula for quark and gluon contributions to the QCD trace anomaly Tanaka, Kazuhiro arXiv https://doi.org/10.48550/arxiv.1811.07879	text	January 2018
Nucleon's energy-momentum tensor form factors in light-cone QCD Azizi, K.; Ozdem, U. arXiv https://doi.org/10.48550/arxiv.1908.06143	text	January 2019

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