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TWISTED BOSONIZATION IN TWO-DIMENSIONAL NONCOMMUTATIVE SPACETIME

ASRARUL HAQUE

Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India

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and

T. R. GOVINDARAJAN

Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India

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https://doi.org/10.1142/S0217732312501490Cited by:1 (Source: Crossref)

Abstract

We study the twisted bosonization of massive Thirring model to relate to sine-Gordon model in Moyal spacetime using twisted commutation relations. We obtain the relevant twisted bosonization rules. We show that there exists dual relationship between twisted bosonic and fermionic operators. The strong–weak duality is also observed to be preserved as its commutative counterpart.

Keywords:

References

P. Jordan and E. P. Wigner, Z. Phys. 47, 631 (1928). Crossref, ADS, Google Scholar
S. Coleman, Phys. Rev. D 11, 2088 (1975). Crossref, Web of Science, Google Scholar
S. Mandelstam, Phys. Rev. D 11, 3026 (1975). Crossref, Web of Science, ADS, Google Scholar
M. Chaichian, P. Presnajder and A. Tureanu, Phys. Rev. Lett. 94, 151602 (2005). Crossref, Web of Science, ADS, Google Scholar
M. Chaichian, P. Presnajder and A. Tureanu, Phys. Lett. B 604, 98 (2004). Crossref, Web of Science, ADS, Google Scholar
A. P. Balachandranet al., Phys. Rev. D 75, 045009 (2007). Crossref, Web of Science, Google Scholar
A. P. Balachandran, P. Padmanabhan and A. R. de Queiroz, Phys. Rev. D 84, 065020 (2011). Crossref, Web of Science, Google Scholar
C. Nunez, K. Olsen and R. Schiappa, JHEP 0007, 030 (2000). Crossref, ADS, Google Scholar
A. Daset al., JHEP 0405, 022 (2004). ADS, Google Scholar
S. Ghosh, Phys. Lett. B 563, 112 (2003). Crossref, Web of Science, ADS, Google Scholar
M. T. Grisaru and S. Penati , arXiv:hep-th/0112246 . Google Scholar
M. T. Grisaruet al., JHEP 0404, 057 (2003). ADS, Google Scholar
O. Lechtenfeldet al., Nucl. Phys. B 705, 477 (2005). Crossref, Web of Science, ADS, Google Scholar
S. Vaidya, Phys. Lett. B 655, 294 (2005). Crossref, Web of Science, ADS, Google Scholar
A. P. Balachandranet al., Int. J. Mod. Phys. A 21, 3111 (2005). Link, Web of Science, ADS, Google Scholar
A. P. Balachandranet al., Phys. Rev. D 75, 045009 (2007). Crossref, Web of Science, Google Scholar
B. Klaiber, Lectures in Theoretical Physics X-A, eds. A. O. Barut and W. E. Brittin (Gordon and Breach, 1968) pp. 141–176. Google Scholar
A. P. Balachandran, A. Pinzul and B. Qureshi, Phys. Lett. B 634, 434 (2006). Crossref, Web of Science, ADS, Google Scholar
D. Bahnset al., Phys. Lett. B 533, 178 (2002). Crossref, Web of Science, ADS, Google Scholar
A. P. Balachandranet al., JHEP 0410, 072 (2004). ADS, Google Scholar
H. Grosse, Phys. Lett. B 86, 267 (1979). Crossref, Web of Science, ADS, Google Scholar
A. B. Zamolodchikov and Al. B. Zamolodchikov, Ann. Phys. 120, 253 (1979). Crossref, Web of Science, ADS, Google Scholar
L. Faddeev, Sov. Sci. Rev. C 1, 107 (1980). Web of Science, Google Scholar
E. Witten, Commun. Math. Phys. 92, 455 (1984). Crossref, Web of Science, ADS, Google Scholar