Share This Article:

Light-Front Hamiltonian, Path Integral and BRST Formulations of the Chern-Simons Theory under Appropriate Gauge-Fixing

Abstract Full-Text HTML Download Download as PDF (Size:120KB) PP. 385-392
DOI: 10.4236/jmp.2010.16055    3,758 Downloads   7,172 Views   Citations

ABSTRACT

The Chern-Simons theory in two-space one-time dimensions is quantized on the light-front under appropriate gauge-fixing conditions using the Hamiltonian, path integral and BRST formulations.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

U. Kulshreshtha, D. Kulshreshtha and J. Vary, "Light-Front Hamiltonian, Path Integral and BRST Formulations of the Chern-Simons Theory under Appropriate Gauge-Fixing," Journal of Modern Physics, Vol. 1 No. 6, 2010, pp. 385-392. doi: 10.4236/jmp.2010.16055.

References

[1] G. V. Dunne, “Aspects of Chern-Simons Theories,” hep-th/9902115, and references therein.
[2] A. Smirnov, “Notes on Chern-Simons Theory in the Temporal Gauge”, arXiv: hep-th/09105011.
[3] E. J. Ferrer, R. Hurka and V. D. L. Incera, “High Tem-perature Anyon Superconductivity,” Modern Physics Letters B, Vol. 11, No.1, 1997, pp. 1-8.
[4] R. B. Laughlin, “Nobel Lecture: Fractional Quantiza-tion,” Reviews of Modern Physics, Vol. 71 No. 4, 1999, pp. 863-874.
[5] F. Wilczek, “Quantum Mechanics of Fractional Spin Particles,” Physical Review Letters, Vol. 49, No. 14, 1982, pp. 957-959.
[6] D. Boyanovsky, “Chern-Simons with Matter Fields”, Phyical Review, Vol. 42, No. 4, 1990, pp. 1179-1183.
[7] D. Boyanovsky, E. T. Newman and C. Rovelli, “On the Quantization of Dynamical Systems with Chern-Simons Terms,” Physical Review, D45, 1992, pp. 1210-1216.
[8] U. Kulshreshtha and D. S. Kulshreshtha, “Hamiltonian, Path Integral and BRST Formulations of the Chern-Simons Theory under Appropriate Gauge-Fixing,” Canadian Journal of Physics, Vol. 86, No. 2, 2008, pp. 401-407.
[9] U. Kulshreshtha, D. S. Kulshreshtha, H. J. W. Muel-ler-Kirsten and J. P. Vary, “Hamiltonian, Path Integral and BRST Formulations of the Chern-Simons Higgs Theory under Appropriate Gauge-Fixing,” Physica Scripta, Vol. 79, No. 4, 2009, pp. 045001.
[10] U. Kulshreshtha, “Hamiltonian, Path Integral and BRST Formulations of the Chern-Simons Higgs Theory in the Broken Symmetry Phase,” Physica Scripta, Vol. 75, No. 6, 2007, pp. 795-802.
[11] U. Kulshreshtha, D. S. Kulshreshtha and J. P. Vary, “Light-Front Hamiltonian, Path Integral and BRST For-mulations of the Chern-Simons Higgs Theory under Ap-propriate Gauge-Fixing,” Physica Scripta, 82:055101, 2010.
[12] P. A. M. Dirac, “Generalized Hamiltonian Dynamics,” Canadian Journal of Mathematics, Vol. 2, 1950, pp. 129-148.
[13] M. Henneaux and C. Teitelboim, “Quantization of Gauge Systems,” Princeton University Press, New Jersey, 1992.
[14] U. Kulshreshtha and D. S. Kulshreshtha, “Conformally Gauge-Fixed Polyakov D1 Brane Action in the Presence of a 2-Form Gauge Field: The Instant-Form and Front- Form Hamiltonian and Path Integral Formulations,” Physics Letters B, Vol. 555, No. 3-4, 2003, pp. 255-263.
[15] U. kulshreshtha and D. S. Kulshreshtha, “Hamiltonian and Path Integral Formulations of the Dirac-Born-Infeld Nambu-Goto D1 Brane Action with and without a Dila-ton Field under Gauge-Fixing,” The European Physical Journal C, Vol. 29, No. 3, 2003, pp. 453-461.
[16] D. Nemeschansky, C. Preitschopf and M. Weinstein, “A BRST Primer,” Annals of Physics, Vol. 183, No. 2, 1988, pp. 226-268.
[17] P. A. M. Dirac, “Forms of Relativistic Dynamics,” Re-views of Modern Physics, Vol. 21, No. 3, 1949, pp. 392-399.
[18] S. J. Brodsky, H. C. Pauli and S. S. Pinsky, “Quantum Chromodynamics and other Field Theories on the Light-Cone”, Physics Reports, Vol. 301, No. 4-6, 1998, pp. 299-486.

  
comments powered by Disqus

Copyright © 2019 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.