H.J. Kaiser, K. Scharnhorst, E. Wieczorek: Euclidean Yang-Mills theory in constant background fields and unstable modes. Journal of Physics G: Nuclear and Particle Physics 16:2(1990)161-174 (DOI: 10.1088/0954-3899/16/2/005). [INSPIRE record]

Abstract: Within Euclidean SU(2) Yang-Mills theory considered in certain non-Abelian background fields the explicit construction of gluon and ghost Green functions is presented, paying special attention to unstable modes. The propagators obtained turn out to be purely real. The propagator expressions given for two different background fields are related to each other in the coincidence limit of these background configurations. On the basis of the derived results the imaginary part of the Euclidean Yang-Mills theory effective action is discussed, showing that no higher-loop corrections beyond the well known 1-loop result appear. Also arguments are given that the 1-loop imaginary part should not be trusted.

• Electronic copy of the article: Journal of Physics G: Nuclear and Particle Physics
• Electronic copy of the preprint version - IfH Berlin-Zeuthen Preprint PHE 89-6: scanned preprint (KEK library: https://lib-extopc.kek.jp/preprints/PDF/1989/8906/8906216.pdf ) [local copy: PDF (613 kB), gzipped PS (619 kB), DJVU (606 kB)]
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© K. Scharnhorst . Document last modified: June 8, 2023