Dryson equations, Ward identities, and the infrared behavior of Yang-Mills theories. [Schwinger-Dyson equations, Slavnov-Taylor identities]

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It was shown using the Schwinger-Dyson equations and the Slavnov-Taylor identities of Yang-Mills theory that no inconsistency arises if the gluon propagator behaves like (1/p/sup 2/)/sup 2/ for small p/sup 2/. To see whether the theory actually contains such singular long range behavior, a nonperturbative closed set of equations was formulated by neglecting the transverse parts of GAMMA and GAMMA/sub 4/ in the Schwinger-Dyson equations. This simplification preserves all the symmetries of the theory and allows the possibility for a singular low-momentum behavior of the gluon propagator. The justification for neglecting GAMMA/sup (T)/ and GAMMA/sub 4//sup (T)/ is not evident ... continued below

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Pages: 13

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Baker, M. January 1, 1979.

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It was shown using the Schwinger-Dyson equations and the Slavnov-Taylor identities of Yang-Mills theory that no inconsistency arises if the gluon propagator behaves like (1/p/sup 2/)/sup 2/ for small p/sup 2/. To see whether the theory actually contains such singular long range behavior, a nonperturbative closed set of equations was formulated by neglecting the transverse parts of GAMMA and GAMMA/sub 4/ in the Schwinger-Dyson equations. This simplification preserves all the symmetries of the theory and allows the possibility for a singular low-momentum behavior of the gluon propagator. The justification for neglecting GAMMA/sup (T)/ and GAMMA/sub 4//sup (T)/ is not evident but it is expected that the present study of the resulting equations will elucidate this simplification, which leads to a closed set of equations.

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Pages: 13

Notes

Dep. NTIS, PC A02/MF A01.

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  • Orbis scientiae 1979 conference, Coral Gables, FL, USA, 15 Jan 1979

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  • Report No.: DOE/ER-01388-781
  • Report No.: RLO-1388-781
  • Report No.: CONF-790150-5
  • Grant Number: EY-76-C-06-1388
  • Office of Scientific & Technical Information Report Number: 5786998
  • Archival Resource Key: ark:/67531/metadc1098728

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Office of Scientific & Technical Information Technical Reports

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  • January 1, 1979

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  • Feb. 18, 2018, 3:59 p.m.

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  • Feb. 26, 2018, 12:22 p.m.

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Baker, M. Dryson equations, Ward identities, and the infrared behavior of Yang-Mills theories. [Schwinger-Dyson equations, Slavnov-Taylor identities], article, January 1, 1979; United States. (https://digital.library.unt.edu/ark:/67531/metadc1098728/: accessed March 21, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.