Infrared Divergences in $e^{+}{e}^{-}\to 2jets$ in the Light Front Coherent State Formalism

Abstract

We study infrared (IR) divergences in light front quantum chromodynamics using a coherent state basis in light front time-ordered Hamiltonian perturbation theory. In computation of the S-matrix elements in Hamiltonian formalism, the IR divergences appear in the form of vanishing energy denominators. We consider the process $e^{+}{e}^{-}\to 2jets$ at $\mathcal{O}(g^2)$ in strong coupling, construct the coherent state representing the outgoing particles, and explicitly show that the `true' IR divergences cancel to this order when the matrix elements are calculated between coherent states instead of Fock states.

arXiv comment23 pages, 5 figures. Published version. Minor additions and changes compared to v2

References in corpus (8)

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Cited by in corpus (1)

• Cancellation of Infrared Divergences in $e^{+}{e}^{-}\to q\bar{q}g$ in Light Front Coherent State Formalism