Boson Mapping in Field Theory
P.O. Hess, J.C. L\'opez Vieyra, C.R. Stephens
TL;DR
This paper introduces a boson mapping technique for pair field operators in field theory, preserving key properties and applicable to models with bound states, demonstrated on the Wick-Cutkosky model.
Contribution
It presents a new boson mapping method that maintains hermiticity and Poisson brackets, with practical application to bound state field theories like the Wick-Cutkosky model.
Findings
Mapping preserves hermiticity and Poisson brackets
Applicable to low-energy bound state models
Demonstrated on the Wick-Cutkosky model
Abstract
A boson mapping of pair field operators is presented. The mapping preserves all hermiticity properties and the Poisson bracket relations between fields and momenta. The most practical application of the boson mapping is to field theories which exhibit bound states of pairs of fields. As a concrete application we consider, in the low energy limit, the Wick-Cutkosky model with equal mass for the charged fields.
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Taxonomy
TopicsBiofield Effects and Biophysics · Particle physics theoretical and experimental studies · Atomic and Subatomic Physics Research