Abstract
We investigate how topological zero-modes affect hadron physics in the quenched approximation. We remark that in a finite volume the exact zero-modes render the chiral condensate pathological and explain why this is not observed in lattice calculations. We then provide an argument, supported by a model calculation, to show how the mixed `zero-modes` produce a density of modes, {lambda}, in the large volume limit that diverges as 1/{radical}({lambda}). This implies that the quark physics of quenched QCD becomes pathological in the continuum limit. We also show how similar arguments lead to a non-standard but regular spectrum in full QCD. ((orig.)).
Citation Formats
Dowrick, N, and Teper, M.
Instantons, chiral symmetry breaking and the fate of the ultimate quenched calculation.
Netherlands: N. p.,
1995.
Web.
doi:10.1016/0920-5632(95)00212-R.
Dowrick, N, & Teper, M.
Instantons, chiral symmetry breaking and the fate of the ultimate quenched calculation.
Netherlands.
https://doi.org/10.1016/0920-5632(95)00212-R
Dowrick, N, and Teper, M.
1995.
"Instantons, chiral symmetry breaking and the fate of the ultimate quenched calculation."
Netherlands.
https://doi.org/10.1016/0920-5632(95)00212-R.
@misc{etde_101189,
title = {Instantons, chiral symmetry breaking and the fate of the ultimate quenched calculation}
author = {Dowrick, N, and Teper, M}
abstractNote = {We investigate how topological zero-modes affect hadron physics in the quenched approximation. We remark that in a finite volume the exact zero-modes render the chiral condensate pathological and explain why this is not observed in lattice calculations. We then provide an argument, supported by a model calculation, to show how the mixed `zero-modes` produce a density of modes, {lambda}, in the large volume limit that diverges as 1/{radical}({lambda}). This implies that the quark physics of quenched QCD becomes pathological in the continuum limit. We also show how similar arguments lead to a non-standard but regular spectrum in full QCD. ((orig.)).}
doi = {10.1016/0920-5632(95)00212-R}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}
title = {Instantons, chiral symmetry breaking and the fate of the ultimate quenched calculation}
author = {Dowrick, N, and Teper, M}
abstractNote = {We investigate how topological zero-modes affect hadron physics in the quenched approximation. We remark that in a finite volume the exact zero-modes render the chiral condensate pathological and explain why this is not observed in lattice calculations. We then provide an argument, supported by a model calculation, to show how the mixed `zero-modes` produce a density of modes, {lambda}, in the large volume limit that diverges as 1/{radical}({lambda}). This implies that the quark physics of quenched QCD becomes pathological in the continuum limit. We also show how similar arguments lead to a non-standard but regular spectrum in full QCD. ((orig.)).}
doi = {10.1016/0920-5632(95)00212-R}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}