Scalar and Pseudoscalar Glueball Masses within a Gaussian Wavefunctional Approximation

Details Scalar and Pseudoscalar Glueball Masses within a Gaussian Wavefunctional Approximation Scalar and Pseudoscalar Glueball Masses within a Gaussian Wavefunctional Approximation

2012-04-02

arxiv.org/abs/1204.0296v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 3 figures

Scientific paper

The lowest scalar and pseudoscalar glueball masses are evaluated by means of the time-dependent variational approach to the Yang-Mills gauge theory without fermions in the Hamiltonian formalism within a Gaussian wavefunctional approximation. The glueball mass is calculated as a pole of the propagator for a composite glueball field which consists of two massless gluons. The glueball propagator is here evaluated by using the linear response theory for the composite external glueball field. As a result, a finite glueball mass is obtained through the interaction between two massless gluons, in which the glueball mass depends on the QCD coupling constant g in the nonperturbative form.

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