Journal article
Authors list: Hauser, JM; Cassing, W; Leupold, S; Thoma, MH
Publication year: 1998
Pages: 155-197
Journal: Annals of Physics
Volume number: 265
Issue number: 2
ISSN: 0003-4916
Open access status: Green
DOI Link: https://doi.org/10.1006/aphy.1997.5820
Publisher: 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.
Citation Styles
Harvard Citation style: 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 Citation style: 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
Keywords
2-BODY CORRELATIONS; CORRELATION DYNAMICS; DYSON-SCHWINGER EQUATIONS; FIELD-THEORY; FINITE TEMPERATURE; GAUSS LAW; GLUON PROPAGATOR; HARTREE APPROXIMATION; TRANSPORT-EQUATIONS; WIGNER OPERATOR