English

Independent Operators at Different Dimension

High Energy Physics - Lattice 2007-05-23 v1

Abstract

To apply lattice QCD in the calculation of glueball spectrum it is needed firstly to know associated operators acting on vacuum. We show how to find all the independent representations and operators, of group SO(3)PCSO(3)^{PC} at different dimension, since the work is not trivial. Then, we decompose these representation into irreducible representation of OPCO^{PC} group, which are listed in the note. At last we argue that fJ(2220)f_J(2220) and gTg_T states can not be tensor glueball simultaneously.

Keywords

Cite

@article{arxiv.hep-lat/0512033,
  title  = {Independent Operators at Different Dimension},
  author = {Yin Chen and Daqing Liu and Yubin Liu and Jimin Wu},
  journal= {arXiv preprint arXiv:hep-lat/0512033},
  year   = {2007}
}

Comments

8 pages

R2 v1 2026-07-22T13:16:37.691Z