English

Scalar and Pseudoscalar Glueball Masses within a Gaussian Wavefunctional Approximation

High Energy Physics - Phenomenology 2012-09-03 v2 Nuclear Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1204.0296,
  title  = {Scalar and Pseudoscalar Glueball Masses within a Gaussian Wavefunctional Approximation},
  author = {Y. Tsue},
  journal= {arXiv preprint arXiv:1204.0296},
  year   = {2012}
}

Comments

24 pages, 3 figures

R2 v1 2026-06-21T20:43:14.067Z