Relativistic theory of free anyons reexamined

N. Banerjee; R. Banerjee; Subir Ghosh

doi:10.1103/PhysRevD.54.1719

Access by Xinjiang University

Relativistic theory of free anyons reexamined

N. Banerjee^* and R. Banerjee^†

Subir Ghosh

S. N. Bose National Center for Basic Sciences, Block JD, Sector III, Salt Lake, Calcutta 700 091, India

Gobardanga Hindu College, North 24-Parganas, West Bengal, India

^*Electronic address: narayan@bose.ernet.in
^†Electronic address: rabin@bose.ernet.in

PDF

Phys. Rev. D 54, 1719 – Published 15 July, 1996

DOI: https://doi.org/10.1103/PhysRevD.54.1719

Abstract

We reconsider some recent models of free relativistic particles with arbitrary spin (anyons) in 2+1 dimensions. It is shown that even if the mass shell and the symplectic two-form conditions (essential for describing anyons) are satisfied, there are other consistency requirements which determine the validity (or otherwise) of a specific model. The implications of this analysis for electromagnetic coupling are also discussed.

References (14)

F. Wilczek, Fractional Statistics and Anyon Superconductivity (World Scientific, Singapore, 1990) articles in "Physics and Mathematics of anyons" Proceedings TCSUH workshop, Houston, 1991, edited by S. S. Chern, C. W. Chu, and C. S. Ting (World Scientific, Singapore, 1991)
F. Wilczek and A. Zee, Phys. Rev. Lett. 51, 2250 (1983) M. Bowick, D. Karabali, and L. C. R. Wijewardhana, Nucl. Phys. B271, 417 (1986) R. Banerjee, ibid. B419, [FS], 611 (1994)
I. Dzyaloshinskii, A. Polyakov, and P. Wiegmann, Phys. Lett. A 127, 112 (1988) P. Panigrahi, S. Roy, and W. Scherer, Phys. Rev. Lett. 61, 2827 (1988)
S. Paul and A. Khare, Phys. Lett. B 174, 420 (1986) H. J. de Vega and F. Schaposnik, Phys. Rev. Lett. 56, 2654 (1986)
J. Hong, Y. Kim, and P. Y. Pac, Phys. Rev. Lett. 64, 2230 (1990) R. Jackiw and E. Weinberg, ibid. 64, 2234 (1990)
G. Semenoff, Phys. Rev. Lett. 61, 517 (1988) G. Semenoff and P. Sodano, Nucl. Phys. B328, 753 (1989) R. Banerjee, A. Chatterjee, and V. V. Sreedhar, Ann. Phys. (N.Y.) 122, 254 (1993)
R. Banerjee, Phys. Rev. Lett. 69, 17 (1992) Phys. Rev. D 48, 2905 (1993) Nucl. Phys. B390, 681 (1993) D. Boyanovsky, E. Newman, and C. Rovelli, Phys. Rev. D 45, 1210 (1992)
B. Binegar, J. Math. Phys. 23, 1511 (1982)
J. F. Schonfeld, Nucl. Phys. B 185, 157 (1981) A. P. Balachandran, G. Marmo, B. Skagerstam, and A. Stern, Gauge symmetries and fibre bundles (Springer-Verlag, Berlin, 1983)
R. Jackiw and V. P. Nair, Phys. Rev. D 43, 1933 (1991) C. Chou, V. P. Nair, and A. Polychronakos, Phys. Lett. B 304, 105 (1993)
M. Chaichian, F. Gonzalez Felipe, and D. Luis Martinez, Phys. Rev. Lett. 71, 3405 (1993) ibid.73, 2009(E) (1994)
R. Jackiw and V. P. Nair, Phys. Rev. Lett. 73, 2007 (1994)
K. Sundermeyer, Constrained Dynamics, Lecture Notes in Physics Volume 169, (Springer-Verlag, Berlin, 1982)
S. Ghosh, Phys. Lett. B 338, 235 (1994)

[c1] F. Wilczek, Fractional Statistics and Anyon Superconductivity (World Scientific, Singapore, 1990) articles in "Physics and Mathematics of anyons" Proceedings TCSUH workshop, Houston, 1991, edited by S. S. Chern, C. W. Chu, and C. S. Ting (World Scientific, Singapore, 1991)

[c2] F. Wilczek and A. Zee, Phys. Rev. Lett. 51, 2250 (1983) M. Bowick, D. Karabali, and L. C. R. Wijewardhana, Nucl. Phys. B271, 417 (1986) R. Banerjee, ibid. B419, [FS], 611 (1994)

[c3] I. Dzyaloshinskii, A. Polyakov, and P. Wiegmann, Phys. Lett. A 127, 112 (1988) P. Panigrahi, S. Roy, and W. Scherer, Phys. Rev. Lett. 61, 2827 (1988)

[c4] S. Paul and A. Khare, Phys. Lett. B 174, 420 (1986) H. J. de Vega and F. Schaposnik, Phys. Rev. Lett. 56, 2654 (1986)

[c5] J. Hong, Y. Kim, and P. Y. Pac, Phys. Rev. Lett. 64, 2230 (1990) R. Jackiw and E. Weinberg, ibid. 64, 2234 (1990)

[c6] G. Semenoff, Phys. Rev. Lett. 61, 517 (1988) G. Semenoff and P. Sodano, Nucl. Phys. B328, 753 (1989) R. Banerjee, A. Chatterjee, and V. V. Sreedhar, Ann. Phys. (N.Y.) 122, 254 (1993)

[c7] R. Banerjee, Phys. Rev. Lett. 69, 17 (1992) Phys. Rev. D 48, 2905 (1993) Nucl. Phys. B390, 681 (1993) D. Boyanovsky, E. Newman, and C. Rovelli, Phys. Rev. D 45, 1210 (1992)

[c8] B. Binegar, J. Math. Phys. 23, 1511 (1982)

[c9] J. F. Schonfeld, Nucl. Phys. B 185, 157 (1981) A. P. Balachandran, G. Marmo, B. Skagerstam, and A. Stern, Gauge symmetries and fibre bundles (Springer-Verlag, Berlin, 1983)

[c10] R. Jackiw and V. P. Nair, Phys. Rev. D 43, 1933 (1991) C. Chou, V. P. Nair, and A. Polychronakos, Phys. Lett. B 304, 105 (1993)

[c11] M. Chaichian, F. Gonzalez Felipe, and D. Luis Martinez, Phys. Rev. Lett. 71, 3405 (1993) ibid.73, 2009(E) (1994)

[c12] R. Jackiw and V. P. Nair, Phys. Rev. Lett. 73, 2007 (1994)

[c13] K. Sundermeyer, Constrained Dynamics, Lecture Notes in Physics Volume 169, (Springer-Verlag, Berlin, 1982)

[c14] S. Ghosh, Phys. Lett. B 338, 235 (1994)

Physical Review D

Export citation

Export citation

Relativistic theory of free anyons reexamined

Abstract

References (14)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation