Introduces a gluon mass and auxiliary scalar field to cancel small-x divergences in the front-form QCD Hamiltonian, yielding confinement for heavy quarks as the mass parameter is sent to zero.
Flow equations for band--matrices
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abstract
Continuous unitary transformations can be used to diagonalize or approximately diagonalize a given Hamiltonian. In the last four years, this method has been applied to a variety of models of condensed matter physics and field theory. With a new generator for the continuous unitary transformation proposed in this paper one can avoid some of the problems of former applications. General properties of the new generator are derived. It turns out that the new generator is especially useful for Hamiltonians with a banded structure. Two examples, the Lipkin model, and the spin--boson model are discussed in detail.
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hep-th 1years
2026 1verdicts
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Gluon mass and small-x dynamics in hadrons
Introduces a gluon mass and auxiliary scalar field to cancel small-x divergences in the front-form QCD Hamiltonian, yielding confinement for heavy quarks as the mass parameter is sent to zero.