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.
Highlights
The study of scattering in Lattice Field Theory (LFT) starts with the original work of Lüscher [1]
The formalism has been extended to moving frames [2], π − N scattering [3], N − N scattering [4], different masses [5,6], moving frames with different masses [7,8] and any multichannel system with arbitrary spin, momentum and masses [9]
For the case of scattering of vector particles, there may be interesting issues that can be addressed through LFT, such as the possibility of the Higgs boson to be a bound state of two W bosons
Summary
The study of scattering in Lattice Field Theory (LFT) starts with the original work of Lüscher [1]. For the case of scattering of vector particles, there may be interesting issues that can be addressed through LFT, such as the possibility of the Higgs boson to be a bound state of two W bosons. This is the case for a model proposed in Refs. One possible consequence of this model could be that the Higgs represents a bound state in the WW channel This justifies a thorough study of the WW interactions (including both the bound spectrum and scattering) within LFT, which is possible by using Lüscher’s approach
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