Abstract
The q-deformation of the BRST algebra, the algebra of the ghost, matter and gauge field on one spacetime point is constructed using the result of the bicovariant differential calculus. We define the covariant commutation relation among the fields and their derivatives consistently with the two nilpotent operation the spacetime derivativeand the BRST operation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Abe, E.: 1980, ’Hopf Algebras’, Cambridge Tracts in Math., vol. 74, (Cambridge Univ. Press, 1980).
Aref’eva, I.Ya. and Volovich, I.V.: 1991, Mod. Phys. Lett. A6, 893
Bernard, D.: 1990, Prog. Theor. Phys. Suppl. 102, 49
Brzeziñski, T. and Majid, S.: 1992 ’Quantum group gauge theory on quantum spaces.’ Preprint DAMTP/92-27, ; ’Quantum Group Gauge Theory on Classical Spaces’ Preprint DAMTP/92-51.
C. Becchi, A. Rouet and R. Stora,: 1976, Ann. Phys. , 287
Tyuitin, I.V.: 1975 Lebedev preprint FIAN 39 (1975), unpublished.
Carow-Watamura, U., Schlieker, M., Watamura, S. and Weich, W.: 1991a, Commun. Math. Physics 142 , 605
Carow-Watamura, U. and Watamura, S.: 1991b “Complex Quantum Group, Dual Algebra and Bicovariant Differential Calculus,” preprint TU-382(1991) to be published in Commun. Math. Physics.
Carow-Watamura, U.: 1992, Ph.D. Thesis, ’The quantum group symmetry in the models of elementary particle physics.’
Drinfeld, V.G.: 1986, ’Quantum Groups’, Proceedings of the International Congress Mathematicians, Vol.1, 798.
Faddeev, L.D. and Popov, V.: 1967, Phys. Lett. 25B, 29
Hirayama, M.: 1992, ’Gauge Field Theory of the Quantum Group SUq (2)’, preprint TOYAMA-74(1992).
Isaev, A.P. and Popowicz, Z.: 1992, Phys. Lett. 281B, 271
Jimbo, M.: 1986, Lett. Math. Phys. 10, 63
Jurco, B.: 1991, Lett. Math. Phys. 22, 177
Manin, Yu.I.: 1988, ’Quantum groups and non-commutative geometry’, Centre de Recherches Mathematiques, Universite de Montreal.
Reshetikhin, N.Yu., Takhtajan, L.A. and Faddeev, L.D.:1989, ’Quantization of Lie groups and Lie algebras’, Algebra i Analiz, 1 178.
Watamura, S.: 1992, ’Quantum Deformation of BRST Algebra’, preprint HD-THEP-92-39, TU-411(1992).
Woronowicz, S.L.: 1987, Commun. Math. Phys. 111, 613
Woronowicz, S.L.: 1989, Commun. Math. Phys. 122, 122
Wu, K. and Zhang, R.: 1992, Commun. Theor. Phys. 17, 175
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Watamura, S. (1993). Bicovariant Differential Calculus and q-Deformation of Gauge Theory. In: Oziewicz, Z., Jancewicz, B., Borowiec, A. (eds) Spinors, Twistors, Clifford Algebras and Quantum Deformations. Fundamental Theories of Physics, vol 52. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1719-7_35
Download citation
DOI: https://doi.org/10.1007/978-94-011-1719-7_35
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4753-1
Online ISBN: 978-94-011-1719-7
eBook Packages: Springer Book Archive