28 July 2024 to 3 August 2024
Europe/London timezone

Towards glueball scattering in lattice Yang-Mills theory

1 Aug 2024, 09:40
20m
Talk Hadronic and Nuclear Spectrum and Interactions Hadronic and nuclear spectrum and interactions

Speaker

Maxwell Hansen (University of Mainz)

Description

We present progress in the determination of glueball masses and scattering parameters computed using lattice $SU(3)$ Yang-Mills theory. Focusing on the vacuum-quantum-number ($J^{PC} = 0^{++}$) sector, the computation makes use of a number of techniques to improve the extraction of energies from Euclidean correlators, including anisotropic lattices, the multi-level algorithm, and a large set of operators applied in a variational method. In addition to various algorithmic considerations, our main result is a volume-dependent extraction of the ground state energy. This enables a prediction of the mass in the infinite volume limit and the trilinear coupling governing the coefficient of the leading volume-dependent exponential. This result is a first step towards using excited finite-volume states to extract the glueball scattering amplitude, with potential applications in QCD and strongly interacting dark matter models.

Primary authors

Prof. Antonio Rago (QTC & IMADA, University of Southern Denmark) Mattia Bruno (Universita' di Milano-Bicocca) Maxwell Hansen (University of Mainz)

Presentation materials