Yang-Mills theory and quantum chromodynamics in the temporal gauge

Kurt Haller

doi:10.1103/PhysRevD.36.1839

Access by Xinjiang University

Yang-Mills theory and quantum chromodynamics in the temporal gauge

Kurt Haller

Department of Physics, University of Connecticut, Storrs, Connecticut 06268

PDF

Phys. Rev. D 36, 1839 – Published 15 September, 1987

DOI: https://doi.org/10.1103/PhysRevD.36.1839

Abstract

A canonical formulation is given for Yang-Mills theory and quantum chromodynamics in the temporal gauge. Operator constraints are avoided so that canonical commutation rules apply throughout. The use of ghost operators for longitudinal and timelike gluons permits the selection of states that obey the gauge-fixing condition and Gauss’s law as time-independent constraints. Propagators for longitudinal gluons are evaluated and an argument is given in support of the conclusion that the part of the propagator that violates time-translation invariance has no effect on perturbative S-matrix elements. The validity of asymptotic free-field representations for quarks and gluons in perturbative S-matrix calculations is related to the Lie algebra that characterizes the gauge theory.

References (19)

K. Haller, preceding paper, Phys. Rev. D 36, 1830 (1987).
H. Cheng and E. C. Tsai, Phys. Rev. Lett. 57, 511 (1986); Phys. Rev. D 34, 3858 (1986).
K. Haller, Phys. Rev. D 28, 3054 (1983).
T. N. Tudron, Phys. Rev. D 21, 2348 (1980).
N. H. Christ and T. D. Lee, Phys. Rev. D 22, 934 (1980).
P. A. M. Dirac, Lectures on Quantum Mechanics (Belfer, New York, 1964).
K. Haller, Acta Phys. Austriaca 42, 163 (1975).
R. B. Sohn and K. Haller, J. Math. Phys. 18, 641 (1976).
See, for example, R. Jackiw, Rev. Mod. Phys. 52, 661 (1980); M. Creutz, I. J. Muzinich and T. N. Tudron, Phys. Rev. D 19, 531 (1979).
S. Caracciolo, G. Curci and P. Menotti, Phys. Lett. 113B, 311 (1982).
S. C. Lim, Phys. Lett. 149B, 201 (1984).
H. P. Dahmen, B. Scholz and F. Steiner, Phys. Lett. 117B, 339 (1982).
H. Yamugishi, Phys. Lett. 189B, 161 (1987).
D. Zeppenfeld, Nucl. Phys. B247, 125 (1984).
J. Frenkel, Phys. Lett. 85B, 63 (1979).
H. O. Girotti and K. D. Rothe, Phys. Rev. D 33, 3132 (1986).
P. V. Landshoff, Phys. Lett. 169B, 69 (1986).
K. Haller and R. B. Sohn, Phys. Rev. A 20, 1541 (1979).
I. Bialynicki-Birula, Phys. Rev. 155, 1414 (1967).

[c1] K. Haller, preceding paper, Phys. Rev. D 36, 1830 (1987).

[c2] H. Cheng and E. C. Tsai, Phys. Rev. Lett. 57, 511 (1986); Phys. Rev. D 34, 3858 (1986).

[c3] K. Haller, Phys. Rev. D 28, 3054 (1983).

[c4] T. N. Tudron, Phys. Rev. D 21, 2348 (1980).

[c5] N. H. Christ and T. D. Lee, Phys. Rev. D 22, 934 (1980).

[c6] P. A. M. Dirac, Lectures on Quantum Mechanics (Belfer, New York, 1964).

[c7] K. Haller, Acta Phys. Austriaca 42, 163 (1975).

[c8] R. B. Sohn and K. Haller, J. Math. Phys. 18, 641 (1976).

[c9] See, for example, R. Jackiw, Rev. Mod. Phys. 52, 661 (1980); M. Creutz, I. J. Muzinich and T. N. Tudron, Phys. Rev. D 19, 531 (1979).

[c10] S. Caracciolo, G. Curci and P. Menotti, Phys. Lett. 113B, 311 (1982).

[c11] S. C. Lim, Phys. Lett. 149B, 201 (1984).

[c12] H. P. Dahmen, B. Scholz and F. Steiner, Phys. Lett. 117B, 339 (1982).

[c13] H. Yamugishi, Phys. Lett. 189B, 161 (1987).

[c14] D. Zeppenfeld, Nucl. Phys. B247, 125 (1984).

[c15] J. Frenkel, Phys. Lett. 85B, 63 (1979).

[c16] H. O. Girotti and K. D. Rothe, Phys. Rev. D 33, 3132 (1986).

[c17] P. V. Landshoff, Phys. Lett. 169B, 69 (1986).

[c18] K. Haller and R. B. Sohn, Phys. Rev. A 20, 1541 (1979).

[c19] I. Bialynicki-Birula, Phys. Rev. 155, 1414 (1967).

Physical Review D

Export citation

Export citation

Yang-Mills theory and quantum chromodynamics in the temporal gauge

Abstract

References (19)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation