Academic Journal
SUNY-NTG-98/15 Thouless Energy and Correlations of QCD Dirac Eigenvalues
| العنوان: | SUNY-NTG-98/15 Thouless Energy and Correlations of QCD Dirac Eigenvalues |
|---|---|
| المؤلفون: | J. C. Osborn, J. J. M. Verbaarschot |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://arxiv.org/pdf/hep-ph/9803419v2.pdf. |
| سنة النشر: | 1998 |
| المجموعة: | CiteSeerX |
| الوصف: | Eigenvalues and eigenfunctions of the QCD Dirac operator are studied for gauge field configurations given by a liquid of instantons. We find that for energy differences δE below an energy scale Ec the eigenvalue correlations are given by Random Matrix Theories with the chiral symmetries of the QCD partition function. For eigenvalues near zero this energy scale shows a weak volume dependence that is not consistent with Ec ∼ 1/L2 which might be expected from the pion Compton wavelength and from the behavior of the Thouless energy in mesoscopic systems. However, the numerical value of Ec for our largest volumes is in rough agreement with estimates from the pion Compton wavelength. A scaling behaviour consistent with Ec ∼ 1/L2 is found in the bulk of the spectrum. For δE> Ec the number variance shows a linear dependence with a slope which is larger than the nonzero multifractality index of the wave functions. Finally, the average spectral density and the scalar susceptibilities are discussed in the context of quenched chiral perturbation theory. We argue that a nonzero value of the disconnected scalar susceptibility requires |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.342.4116; http://arxiv.org/pdf/hep-ph/9803419v2.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.342.4116 http://arxiv.org/pdf/hep-ph/9803419v2.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.E6940309 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |