Convergence of Boson Expansion Theory

Theory of Gauge Boson Structure

I have been asked to review the theory of vector boson structure. Recent discussion about the possibility of composite vectors and the meaning of structure has been rather confusing, but I believe a consensus is beginning to emerge. Because the following talk by Dr. Miyamoto will review in some detail the phenomenological possibilities, I will concentrate on the theoretical underpinnings. In th...

Boson Mapping in Field Theory

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 ...

Higgs Boson Theory and Phenomenology

Precision electroweak data presently favors a weakly-coupled Higgs sector as the mechanism responsible for electroweak symmetry breaking. Low-energy supersymmetry provides a natural framework for weakly-coupled elementary scalars. In this review, we summarize the theoretical properties of the Standard Model (SM) Higgs boson and the Higgs sector of the minimal supersymmetric extension of the Sta...

Expansion of an Interacting Boson Condensate: the Role of Dimensionality

Convergence of Scaled Delta Expansion: Anharmonic Oscillator

We prove that the linear delta expansion for energy eigenvalues of the quantum mechanical anharmonic oscillator converges to the exact answer if the order dependent trial frequency Ω is chosen to scale with the order as Ω = CN ; 1/3 < γ < 1/2, C > 0 as N → ∞. It converges also for γ = 1/3, if C ≥ αcg, αc ≃ 0.570875, where g is the coupling constant in front of the operator q/4. The extreme case...