skip to main content

SciTech ConnectSciTech Connect

Title: On quark-antiquark approximation in light front QCD with zero gluon modes

We consider a transition to the light front Hamiltonian from theories quantized on spacelike planes approaching to the light front. In this approach we preserve the dynamics of zero mode present in the theories near the light front. We make the limit transition differently for zero and nonzero modes. This leads to the appearance of some phenomenological parameter which can be used to describe vacuum effects. Also we use a lattice gauge invariant regularization in transverse coordinate space. As an illustration of our scheme we consider the quark-antiquark bound states problem in 2+1 dimensions. We construct basis states in the light front Fock space and provide detailed computations of the Hamiltonian matrix in this basis. These steps allow us to construct the matrix eigenvalue equation. In conclusion we discuss the nuances of obtained results.
Authors:
;  [1]
  1. Saint Petersburg State University, Saint Petersburg, Russia. e-mail: roman.zubov@hep.phys.spbu.ru, evgeni.prokhvat@pobox.spbu.ru (Russian Federation)
Publication Date:
OSTI Identifier:
22499047
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1701; Journal Issue: 1; Conference: 11. conference on quark confinement and hadron spectrum, Saint Petersburg (Russian Federation), 8-12 Sep 2014; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUND STATE; EIGENVALUES; GAUGE INVARIANCE; GLUONS; HAMILTONIANS; HARTREE-FOCK METHOD; MATRICES; QUANTUM CHROMODYNAMICS; QUARK-ANTIQUARK INTERACTIONS