Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

The momentum sum rule via the Feynman Hellmann theorem

Aug 12, 2022, 5:00 PM
CP1-HSZ/0.010 (CP1-HSZ) - HS2 (CP1-HSZ)

CP1-HSZ/0.010 (CP1-HSZ) - HS2


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Oral Presentation Hadron Structure Hadron Structure


James Zanotti (University of Adelaide)


Determining the quark and gluon contributions to the momentum of a hadron is a difficult and computationally expensive problem. This difficulty mainly arises from the calculation of the gluon matrix element which involves a quark-line disconnected gluon operator, which suffers from noisy ultra-violet fluctuations. Furthermore, a complete calculation also requires a determination of the non-perturbative renormalisation of this operator. In this work, we performed a quenched QCD study of the fully-renormalised quark and gluon contributions to the pion and nucleon momenta via an adaption of the Feynman-Hellmann technique. We find the momentum sum rules are satisfied within our uncertainties for both the pion and nucleon for 3 different values of the quark masses. We also discuss some recent progress on extending this procedure to a dynamical simulations.

Primary author

James Zanotti (University of Adelaide)


Ross Young (The University of Adelaide) Roger Horsley (University of Edinburgh) Dr Paul Rakow (University of Liverpool) Mr Tomas Howson (University of Adelaide) Dr Yoshifumi Nakamura (RIKEN) Prof. Holger Perlt (University of Leipzig) Dr Hinnerk Stueben (University of Hamburg) Gerrit Schierholz (DESY)

Presentation materials