ζ-Regularized Lagrangians for massive quarks in constant background mean-fields

✍ Scribed by Emili Elizalde; Joan Soto

• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 876 KB
• Volume: 162
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(85)90233-7

✦ Synopsis

Hawking's <-function regularization method is used in order to obtain the effective QCD Lagrangian for ordinary quarks moving in some constant background field. The general context is Adler's mean-field approximation to QCD, and an extension of his results is obtained for three particular models. Namely, at one loop order, massive quarks in a constant self-dual, pure colormagnetic, or pure colorelectric held are confined, and this is true for any number of quark flavors, Also, a criterion is established in order to calculate the values and signs of the imaginary parts for E-and B-fields. The final results for these imaginary parts are in agreement with those of Nielsen and Olesen and of Yildiz and Cox.