Journalartikel

Jahr der Veröffentlichung: 1998

Seiten: 155-197

Zeitschrift: Annals of Physics

Bandnummer: 265

Heftnummer: 2

ISSN: 0003-4916

Open Access Status: Green

DOI Link: https://doi.org/10.1006/aphy.1997.5820

Verlag: Elsevier 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.

Harvard-Zitierstil: Hauser, 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-Zitierstil: Hauser, 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