Theorem on the Lightest Glueball State

Details Theorem on the Lightest Glueball State Theorem on the Lightest Glueball State

1996-03-14

arxiv.org/abs/hep-ph/9603316v1

Phys.Rev.Lett. 77 (1996) 2622-2625

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, using harvmac

Scientific paper

10.1103/PhysRevLett.77.2622

This paper is devoted to proving that, in QCD, the lightest glueball state must be the scalar with $J^{PC} = 0^{++}$. The proof relies upon the positivity of the path integral measure in Euclidean space and the fact that interpolating fields for all spins can be bounded by powers of the scalar glueball operator. The problem presented by the presence of vacuum condensates is circumvented by considering the time evolution of the propagators and exploiting the positivity of the Hamiltonian.

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