Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Effective Light Front QCD Hamiltonian and spectral equation for quark-antiquark states. / Prokhvatilov, E.V. ; Franke, V.A. ; Ioffe, M.V. ; Lebedev, I.A. ; Puchkov, A.M. ; Belov, P.A. ; Malyshev, M. Yu. ; Dong, Yubing.
Hadron Spectroscopy and Structure: The 18th International Conference on Hadron Spectroscopy and Structure (HADRON2019), Guilin, China, 16 – 21 August 2019. 2020. стр. 632-637.Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - Effective Light Front QCD Hamiltonian and spectral equation for quark-antiquark states
AU - Prokhvatilov, E.V.
AU - Franke, V.A.
AU - Ioffe, M.V.
AU - Lebedev, I.A.
AU - Puchkov, A.M.
AU - Belov, P.A.
AU - Malyshev, M. Yu.
AU - Dong, Yubing
PY - 2020
Y1 - 2020
N2 - The model for effective QCD Hamiltonian, describing bound states of “constituent” quark and antiquark, is proposed, using the Light Front (LF) formulation of QCD in the LF gauge. Zero mode of gluon field becomes independent canonical variable in this model unlike the known canonical formulations on the LF. This mode forms the “string” between quark and antiquark and bounds them. As quark and antiquark are separated by the “string”, the interaction term, related to the interaction of fermion currents in the Hamiltonian, gives zero due to locality of this interaction. We introduce the nonlocal modification of this term and investigate the resulting spectral equation for mass squared. This equation is solved analytically in the large quark mass limit. However the rotation invariance turns out to be violated with our choice of modified interaction term. We show the way to restore the invariance and discuss the possibility to obtain the spectrum describing the experimental one.
AB - The model for effective QCD Hamiltonian, describing bound states of “constituent” quark and antiquark, is proposed, using the Light Front (LF) formulation of QCD in the LF gauge. Zero mode of gluon field becomes independent canonical variable in this model unlike the known canonical formulations on the LF. This mode forms the “string” between quark and antiquark and bounds them. As quark and antiquark are separated by the “string”, the interaction term, related to the interaction of fermion currents in the Hamiltonian, gives zero due to locality of this interaction. We introduce the nonlocal modification of this term and investigate the resulting spectral equation for mass squared. This equation is solved analytically in the large quark mass limit. However the rotation invariance turns out to be violated with our choice of modified interaction term. We show the way to restore the invariance and discuss the possibility to obtain the spectrum describing the experimental one.
KW - квантование на световом фронте, калибровочная теория поля, кварк-антикварковая модель
KW - quantization on the Light Front
KW - gauge field theory
KW - quark-antiquark model
U2 - 10.1142/9789811219313_0108
DO - 10.1142/9789811219313_0108
M3 - Conference contribution
SN - 978-981-121-919-1
SP - 632
EP - 637
BT - Hadron Spectroscopy and Structure
T2 - The 18th International Conference on Hadron Spectroscopy and Structure
Y2 - 16 August 2019 through 21 August 2019
ER -
ID: 71131645