Operator product expansions in the massless Schwinger model

✍ Scribed by M Soldate

• Publisher: Elsevier Science
• Year: 1984
• Tongue: English
• Weight: 660 KB
• Volume: 158
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(84)90127-1

✦ Synopsis

The known operator solution of the massless Schwinger model is used to calculate exactly, in three operator product expansions, the coefficient functions of the first few operators of low dimension which contribute when vacuum matrix elements are to be taken. A comparison of the results provides a test of the procedure used by M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov [Nucl. Phys. B 147 (1979), 3854471 in their study of QCD. It is found that the shift in vacua does not affect the calculation of coefftcient functions. The vacuum insertion approximation yields somewhat misleading estimates of vacuum expectation values of some composite operators; however, the standard method used to estimate the errors of vacuum insertion indicates that the approximation is unreliable in this model. r: 1984 Academic P~CSS, IIIC.