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Enhanced chiral logarithms in partially quenched QCD
| Content Provider | Semantic Scholar |
|---|---|
| Author | Sharpe, Stephen R. |
| Copyright Year | 1997 |
| Abstract | I discuss the properties of pions in “partially quenched” theories, i.e. those in which the valence and sea quark masses, mV and mS, are different. I point out that for lattice fermions which retain some chiral symmetry on the lattice, e.g. staggered fermions, the leading order prediction of the chiral expansion is that the mass of the pion depends only on mV , and is independent of mS . This surprising result is shown to receive corrections from loop effects which are of relative size mS ln mV , and which thus diverge when the valence quark mass vanishes. Using partially quenched chiral perturbation theory, I calculate the full one-loop correction to the mass and decay constant of pions composed of two non-degenerate quarks, and suggest various combinations for which the prediction is independent of the unknown coefficients of the analytic terms in the chiral Lagrangian. These results can also be tested with Wilson fermions if one uses a non-perturbative definition of the quark mass. Email: sharpe@phys.washington.edu |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-lat/9707018v1.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-lat/9707018v2.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Abnormal degeneration Arabic numeral 0 Assumed Chirality (chemistry) Coefficient Depth perception Discretization Email Frequency-hopping spread spectrum GSAP gene Lattice QCD Perturbation theory (quantum mechanics) Pin grid array Population Parameter Quenched approximation |
| Content Type | Text |
| Resource Type | Article |
