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Sum Rules for the Gravitational Form Factors Using Light-Front Dressed Quark State

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Abstract

We consider a light-front dressed quark state, per se, instead of a proton state, we consider a simple composite spin-1/2 state of a quark dressed with a gluon. This perturbative model incorporates gluonic degrees of freedom, which enable us to evaluate the gravitational form factors (GFFs) of the quark as well as the gluon in this model (More et al. Phys Rev D 105(5):056017, 2022. arXiv:2112.06550, https://doi.org/10.1103/PhysRevD.105.056017; Gluon contribution to the mechanical properties of a dressed quark in light-front Hamiltonian QCD, 2023. arXiv:2302.11906). We employ the Hamiltonian framework and choose the light-front gauge \(A^+=0\). We calculate the four GFFs and corroborate the sum rules that GFFs satisfy. The GFF DD is attributed to information like pressure, shear, and energy distributions. We analyze some of these distributions for a dressed quark state at one loop in QCD.

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Acknowledgements

J. M. would like to thank the Department of Science and Technology (DST), Government of India, for financial support through grant No. SR/WOS-A/PM-6/2019(G) and Prof. Uma Sankar for partial travel support to attend the conference under the grant ‘PGRDFI94091’.

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Authors and Affiliations

  1. Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai, 400076, India

    Jai More, Asmita Mukherjee & Sudeep Saha

  2. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China

    Sreeraj Nair

  3. School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing, 100049, China

    Sreeraj Nair

  4. CAS Key Laboratory of High Precision Nuclear Spectroscopy, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China

    Sreeraj Nair

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  1. Jai More
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JM wrote the main manuscript. SN and SS prepared all the plots. All the authors reviewed the manuscript.

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Correspondence to Jai More.

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More, J., Mukherjee, A., Nair, S. et al. Sum Rules for the Gravitational Form Factors Using Light-Front Dressed Quark State. Few-Body Syst 64, 68 (2023). https://doi.org/10.1007/s00601-023-01841-w

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