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Perturbative formulae for relativistic interactions of effective particles

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abstract

The concept of effective particles as degrees of freedom in a relativistic quantum field theory is defined using a non-perturbative renormalization group procedure for Hamiltonians. However, every candidate for a basic physical theory appears to require an initial perturbative search for the set of interaction terms that may provide a basis with which the full effective theory Hamiltonian could be constructed in a series of successive approximations. This article describes the required perturbative expansion and illustrates it with a set of general 4th-order formulae.

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hep-th 1

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2026 1

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UNVERDICTED 1

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Gluon mass and small-x dynamics in hadrons

hep-th · 2026-06-28 · unverdicted · novelty 5.0

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.

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  • Gluon mass and small-x dynamics in hadrons hep-th · 2026-06-28 · unverdicted · none · ref 58 · internal anchor

    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.