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Looking for pions in all the wrong places

 

作者: Thomas D. Cohen,  

 

期刊: AIP Conference Proceedings  (AIP Available online 1992)
卷期: Volume 269, issue 1  

页码: 195-209

 

ISSN:0094-243X

 

年代: 1992

 

DOI:10.1063/1.42976

 

出版商: AIP

 

数据来源: AIP

 

摘要:

In this talk, the problem of virtual pion contributions to nucleon properties is discussed. The infrared behavior of the pion propagator can lead to quantities being nonanalytic inm2&pgr;asm2&pgr;→0. It is shown that these nonanalyticities can lead to large systematic errors in the extrapolation inmqnormally used in lattice QCD calculations. It is argued on the basis of both diagrammatics and largeNcQCD that quenched QCD calculation of nucleon properties includes at least some of the virtual pion effects. It is also shown that hedgehog soliton models based on largeNic QCD, have, for a certain class of observables, the same type of nonanalyticity inm2&pgr;as conventional chiral perturbation theory but with coefficients which differ by numerical constants.These constants depend only on the angular momentum and isospin of the quantity. The reason for this difference is the role of the &Dgr; resonance which is treated differently in the two approaches. If the &Dgr; is included realistically, one finds important corrections to both the hedgehog models and chiral perturbation theory.

 

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