INSTANTONS, CHIRAL-SYMMETRY BREAKING AND THE FATE OF THE ULTIMATE QUENCHED CALCULATION
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 mo...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
1995
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| Summary: | 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, λ, in the large volume limit that diverges as 1/√λ. 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. © 1995 Elsevier Science B.V. All rights reserved. |
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