Abstract
In this paper, we deal with root of gauge theory and constrained system. Considering unlike second class constrained leads to non-gauge theory, all theories with first class constraints are gauge theory. We consider two mathematical and systematic methods, BFT approach and Gauge Unfixing formalism which do conversion of non-gauge theory into gauge one. Despite of noble similarities of two methods, they have primordial different which mentioned. In the end, we figure out these methods for two impressive models which are interesting in their own
Similar content being viewed by others
References
Dirac, P.A.M.: Lecture on quantom mechanics, Belfer graduate school. Yashiva University Press, New York (1964)
Rothe, H.J., Rothe, K.D.: Classical and quantum dynamics of Hamiltonian constraint systems 81, 321 (2010)
Wipf, A.W.: Hamiltonian Formalism for Systems with Constraints, Bad Honnef, (1993)
Batalin, I.A., Fradkin, E.S.: Nucl. Phys. B 279, 514 (1987)
Batalin, I.A., Tyutin, I.V.: Int. J. Mod. Phys. A 11, 1353 (1996)
Monemzadeh, M., Ebrahimi, Aghileh S.: Int. J. Mod. Phys. A 27(1), 250081 (2012)
Monemzadeh, M., Taki, M.: Int. J. Mod. Phys. A 26, 1035 (2011)
Ebrahimi, A.S., Monemzadeh, M.: Int. J. Chem. Model. 4, 13 (2012)
Loran, F., Shirzad, A.: Int. J. Mod. Phys. A 17, 625 (2002)
Shirzad, A., Monemzadeh, M.: Phys. Lett. B 584(220) (2004)
Monemzadeh, M., Ebrahimi, A.S., Sarmad, S., Dehghani, M.: J. Mod. Phys. Lett. A 29(5), 1450028 (2014)
Mitra, P., Rajaraman, R.: Ann. Phys. (N.Y.) 203, 157 (1990)
Vytheeswaran, A.S.: Ann. Phys. (N.Y.) 206, 297 (1994)
Ananias Neto, J. Braz. J.: Phys. 36, 237 (2006)
Ananias Neto, J.: Braz. J. Phys. 37, 1106 (2007)
Obukhov, Y.N.: Rev. Phys. D 68, 21 (2003)
Izaurieta, F., Minning, P., Prez, A., Rodriguez, E., Salgado, P.: Phys. Lett. B 678, 213 (2009)
Bonora, L., Cvitan, M., Prester, P.D., Pallua, S., Smoli, I.: Class. Quantum Grav. 28, 195009 (2011)
Meusburger, C., Schroers, B.J.: Class. Quantum Grav. 22, 44 (2005)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ebrahimi, A.S., Monemzadeh, M. Mathematical Feature of Gauge Theory. Int J Theor Phys 53, 4121–4131 (2014). https://doi.org/10.1007/s10773-014-2163-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-014-2163-0