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.

The article is cited in:

• C. Eberlein, H.J. Kaiser, E. Wieczorek: Radiative corrections to non-abelian gauge theory in homogeneous self-dual backgrounds.
  • In: H.J. Kaiser (Ed.): Proceedings of the XXIII. International Symposium Ahrenshoop on the Theory of Elementary Particles, Ahrenshoop, October 9-13, 1989. IfH Berlin-Zeuthen report PHE 89-13. Institut für Hochenergiephysik (IfH), Berlin-Zeuthen, 1988, pp. 126-137.
  • Annalen der Physik (Leipzig), 7. Series, 48(1991)343-352 (DOI: 10.1002/andp.19915030506).

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• K.J. Biebl: Unstable modes in a SU(2) homogeneous magnetic field. IfH Berlin-Zeuthen report PHE 90-23, 34 pp. ( https://lib-extopc.kek.jp/preprints/PDF/1991/9105/9105484.pdf ).

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• H.J. Kaiser: Two background field configurations allowing exact propagator solutions for nonabelian gauge theories. In: G. Weigt (Ed.): Proceedings of the XXIV. International Symposium Ahrenshoop on the Theory of Elementary Particles, Gosen, Germany, October 8-12, 1990. IfH Zeuthen 1991, pp. 126-132.

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• V.C. Zhukovskii: Stabilization of a color ferromagnetic state in QCD at nonzero temperature. University of Wisconsin Madison report MAD-TH-91-5, 16 pp..

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• H.J. Kaiser: Propagators in magnetic string backgrounds calculated by shifting the angular operators. In: H.J. Kaiser (Ed.): Proceedings of the XXV. International Symposium Ahrenshoop on the Theory of Elementary Particles, Gosen, Germany, September 23-26, 1991. IfH Zeuthen 1991, pp. 351-357.

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• U. Müller: Berechnung von Strahlungskorrekturen für eine nichtabelsche Feldtheorie in einem selbstdualen homogenen Hintergrundfeld [Calculation of radiative corrections for a non-abelian field theory in a self-dual homogeneous background field]. Diploma Thesis, Humboldt University Berlin 1992, 63 pp.. [in German]

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• E. Wieczorek: Nonabelian gauge fields in the background of magnetic strings.
  • In: B. Dörfel, E. Wieczorek (Eds.): Proceedings of the XXVI. International Symposium Ahrenshoop on the Theory of Elementary Particles, Wendisch-Rietz, September 9-13, 1992. DESY-IfH Zeuthen report DESY 93-013, pp. 27-36.
  • Proceedings of the Second Workshop on `Quantum Field Theory under the Influence of External Conditions', University of Leipzig, September 14-20, 1992. University of Leipzig, NTZ 1992 ( https://inspirehep.net/literature/345414 ), pp. 80-89.

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• U. Müller, E. Wieczorek: Radiative corrections for a non-abelian gauge theory in a homogeneous self-dual background. Proceedings of the Second Workshop on `Quantum Field Theory under the Influence of External Conditions', University of Leipzig, September 14-20, 1992. University of Leipzig, NTZ, 1992 ( https://inspirehep.net/literature/345414 ), pp. 101-112.

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• A.O. Starinets, A.S. Vshivtsev, V.C. Zhukovskii: Color ferromagnetic state in SU(2) gauge theory at finite temperature. Physics Letters B 322(1994)403-412 (DOI: 10.1016/0370-2693(94)91172-X).

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• M. Reuter, C. Wetterich: Indications for gluon condensation from nonperturbative flow equations. University of Heidelberg report HD-THEP-94-39, DESY Hamburg report DESY 95-001, arXiv:hep-th/9411227, 33 pp..

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• H.J. Kaiser: Some considerations on field theory in a modified homogeneous magnetic background. In: D. Lüst, G. Weigt (Eds.): Proceedings of the XXVIII. International Symposium Ahrenshoop on the Theory of Elementary Particles, Wendisch-Rietz, August 30 - September 4, 1994. DESY-IfH Zeuthen report DESY 95-027, pp. 305-310.

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• D. Persson: Asymptotic freedom from thermal and vacuum magnetization. Annals of Physics (New York) 252(1996)33-71 (DOI: 10.1006/aphy.1996.0124) [arXiv:hep-ph/9601259].

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• M. Reuter, C. Wetterich: Gluon condensation in nonperturbative flow equations. Physical Review D 56(1997)7893-7916 (DOI: 10.1103/PhysRevD.56.7893) [arXiv:hep-th/9708051].

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• H. Gies: Probing the quantum vacuum - Perturbative effective action approach in QED and QCD and its applications; Doctoral Thesis, Eberhard-Karls-Universität Tübingen, Tübingen, 1999, 264 pp..

© K. Scharnhorst . Document last modified: June 8, 2023