Vector particle scattering on the lattice

Abstract

In this work, we present an explicit form of the Luescher equation and consider the construction of the operators in different irreducible representations for the case of scattering of two vector particles. The formalism is applied to scalar QED in the Higgs Phase, where the $U(1)$ gauge boson acquires mass.

arXiv commentUpdate to match published version

References in corpus (19)

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Cited by in corpus (15)

• $I=3$ three-pion scattering amplitude from lattice QCD
• The $I=1$ pion-pion scattering amplitude and timelike pion form factor from $N_{\mathrm{f}}=2+1$ lattice QCD
• Generalizing the relativistic quantization condition to include all three-pion isospin channels
• Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states
• Energy shift of the three-particle system in a finite volume
• Scattering amplitudes from finite-volume spectral functions
• Scattering of two and three physical pions at maximal isospin from lattice QCD
• P-wave nucleon-pion scattering amplitude in the $\Delta (1232)$ channel from lattice QCD
• Consistency checks for two-body finite-volume matrix elements: I. Conserved currents and bound states
• Propagation of particles on a torus
• Consistency checks for two-body finite-volume matrix elements: II. Perturbative systems
• Singlet channel scattering in a Composite Higgs model on the lattice
• Photon operators for lattice gauge theory
• Dynamical Generation of Elementary Fermion Mass: First Lattice Evidence
• Three particles on the lattice