K. Scharnhorst: Background field method and effective action. Harvard University Cambridge report HUTP 87/A087, 32 pp.. [INSPIRE record]

Abstract: Quantum field theory in background fields is considered in order to set up a relation between the polarization operator in a background field and the effective action. Within the approach an application to Yang-Mills theory is discussed.

The paper is cited in:

• H.J. Kaiser, E. Wieczorek: Non-abelian gauge theory in external magnetic fields - Two-loop effective potential. IfH Berlin-Zeuthen report PHE 88-04, 16 pp. ( https://lib-extopc.kek.jp/preprints/PDF/1988/8808/8808544.pdf ).

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• K. Scharnhorst: On a special representation of the effective action. In: E. Wieczorek (Ed.): Proceedings of the XXII. International Symposium Ahrenshoop on the Theory of Elementary Particles, Ahrenshoop, October 17-21, 1988. IfH Berlin-Zeuthen report PHE 88-13, pp. 73-80. = paper [14]

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• A. McLachlan: Flux-breaking of gauge and central symmetries in the Hosotani model. Ph.D. Thesis, Glasgow University, Glasgow, 1988, 188 pp. ( http://theses.gla.ac.uk/77751/ ).

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• Ş. Türköz: Variational procedure for φ⁴-scalar field theory. Ph.D. Thesis, Massachusetts Institute of Technology, Cambridge, MA, 1989, 83 pp. ( http://dspace.mit.edu/handle/1721.1/52913 ).

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• G.V. Efimov, S.N. Nedelko: On a regularization of the SU(N) Yang-Mills theory by cutoff of the proper time integrals. Joint Institute of Nuclear Research Dubna report E2-89-478, 12 pp. ( https://lib-extopc.kek.jp/preprints/PDF/1989/8911/8911274.pdf ).

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• 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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• 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(1990)161-174 (DOI: 10.1088/0954-3899/16/2/005). = paper [15]

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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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• 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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• J.-P. Börnsen: Berechnung der β-Funktion der reinen Yang-Mills Theorie in 3. Ordnung unter Verwendung der kovarianten Hintergrundfeldmethode [Three-loop Yang-Mills β-function via the covariant background field method]. Ph.D. Thesis, University of Hamburg, Hamburg, 2002, 107 pp. ( https://ediss.sub.uni-hamburg.de/handle/ediss/3523 ). [in German]

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