Journal article

Convergence properties of the equal-time connected Green function approach for temporal gauge SU(2)2+1 Yang-Mills theory


Authors listHauser, JM; Cassing, W; Leupold, S; Thoma, MH

Publication year1998

Pages155-197

JournalAnnals of Physics

Volume number265

Issue number2

ISSN0003-4916

Open access statusGreen

DOI Linkhttps://doi.org/10.1006/aphy.1997.5820

PublisherElsevier Masson


Abstract
The hierarchy of equations of motion for equal-time Green functions in temporal gauge SU(N) Yang-Mills theory is truncated using ail expansion in terms of connected Green functions. A second hierarchy of constraint equations arises from Gauss law and can be truncated in a similar way. Within this approximation scheme we investigate SU(2) Yang-Mills theory on a torus in 2 + 1 spacetime dimensions in a finite basis of plane wave stares and focus on infrared and ultraviolet properties of the approach. In all truncation schemes considered up to the 4-point level the connected Green function approach is found to be UV divergent and to violate gauge invariance. The problems associated with adiabatically generating a nonperturbative ground state are discussed as well. (C) 1998 Academic Press.



Citation Styles

Harvard Citation styleHauser, J., Cassing, W., Leupold, S. and Thoma, M. (1998) Convergence properties of the equal-time connected Green function approach for temporal gauge SU(2)2+1 Yang-Mills theory, Annals of Physics, 265(2), pp. 155-197. https://doi.org/10.1006/aphy.1997.5820

APA Citation styleHauser, J., Cassing, W., Leupold, S., & Thoma, M. (1998). Convergence properties of the equal-time connected Green function approach for temporal gauge SU(2)2+1 Yang-Mills theory. Annals of Physics. 265(2), 155-197. https://doi.org/10.1006/aphy.1997.5820



Keywords


2-BODY CORRELATIONSCORRELATION DYNAMICSDYSON-SCHWINGER EQUATIONSFIELD-THEORYFINITE TEMPERATUREGAUSS LAWGLUON PROPAGATORHARTREE APPROXIMATIONTRANSPORT-EQUATIONSWIGNER OPERATOR

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