Abstract
An elementary gauge-non-invariant model and the bosonized form of the chiral Schwinger model are introduced as classical theories. The constraint structure is then investigated. It is shown that by introducing a new field, these models can be made gauge-invariant. The BRST form of quantization is reviewed and applied to each of these models in turn such that gauge-invariance is not broken. Some consequences of this form of quantization are discussed.
Similar content being viewed by others
References
Bracken, P.: A chiral schwinger model its constraint structure and applications to its quantization. Int. J. Theor. Phys. A 23, 855 (2008)
Dirac, P.A.M.: Lectures on Quantum Mechanics. Dover, Mineola (2001)
Govaerts, J.: Hamiltonian Quantization and Constrained Dynamics. Leuven Notes in Mathematical and Theoretical Physics, vol. 4. Leuven University Press, Leuven (1991)
Henneaux, M.: Hamiltonian form of the path integral for theories with a gauge freedom. Phys. Rep. 126, 1 (1985)
Henneaux, M., Teitelboim, C.: Quantization of Gauge Systems. Princeton University Press, Princeton (1992)
Jackiw, R., Rajamaran, R.: Phys. Rev. Lett. 54, 1219 (1985)
Kulshreshtha, U., Kulshreshtha, D., Müller-Kirsten, H.J.W.: Z. Phys. C 60, 427 (1993)
Kulshreshtha, U., Kulshreshtha, D., Müller-Kirsten, H.J.W.: Can. J. Phys. 72, 639 (1994)
Weinberg, S.: The Quantum Theory of Fields, vol. 2. Cambridge University Press, Cambridge (1996)
Wess, J., Zumino, B.: Phys. Lett. B 37, 95 (1971)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bracken, P. Quantization of Two Classical Models by Means of the BRST Quantization Method. Int J Theor Phys 47, 3321–3334 (2008). https://doi.org/10.1007/s10773-008-9767-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-008-9767-1