English

Partial twisting for scalar mesons

High Energy Physics - Lattice 2015-06-17 v1

Abstract

The possibility of imposing partially twisted boundary conditions is investigated for the scalar sector of lattice QCD. According to the commonly shared belief, the presence of quark-antiquark annihilation diagrams in the intermediate state generally hinders the use of the partial twisting. Using effective field theory techniques in a finite volume, and studying the scalar sector of QCD with total isospin I=1, we however demonstrate that partial twisting can still be performed, despite the fact that annihilation diagrams are present. The reason for this are delicate cancellations, which emerge due to the graded symmetry in partially quenched QCD with valence, sea and ghost quarks. The modified Luescher equation in case of partial twisting is given.

Keywords

Cite

@article{arxiv.1310.7183,
  title  = {Partial twisting for scalar mesons},
  author = {Dimitri Agadjanov and Ulf-G. Meißner and Akaki Rusetsky},
  journal= {arXiv preprint arXiv:1310.7183},
  year   = {2015}
}

Comments

35 pages, 4 figures

R2 v1 2026-06-22T01:54:49.309Z