Orateur
Description
The quantization of Yang–Mills (YM) theories via functional integrals requires gauge fixing, usually implemented through the Faddeev–Popov (FP) method. While successful at high energies due to asymptotic freedom, this framework fails in the infrared regime, where Gribov copies invalidate its assumptions. The Curci–Ferrari (CF) model addresses this issue by introducing a phenomenologically motivated mass term for the gluons after gauge fixing, enabling a renormalization scheme that yields reliable perturbative results at any energy scale, finding good agreement with lattice data.
In this work, we extend the CF model by coupling scalar fields in the adjoint representation to the gauge sector. We compute the two-point correlation functions associated with the scalar, gluon, and ghost fields at one-loop order, where the scalar self-coupling decouples. We compare our analytical results with lattice data for different values of the scalar mass and investigate the renormalization group structure of this model. Our results show that the CF approach provides a good description of the lattice data and reveals the existence of infrared‑safe trajectories, ensuring that perturbation theory is reliable in the infrared regime under this approximation. This confirms the robustness of the CF framework when extended beyond pure YM dynamics.
| Working Group | WG4. QCD models and non-perturbative QCD |
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| Type of oral contribution | Theory |