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Methods and applications of noncommutative geometry: twisted symmetry and quantum gravity

Grant number: 06/56056-0
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): April 01, 2007
Effective date (End): October 31, 2008
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:Paulo Teotonio Sobrinho
Grantee:Aleksandr Nikolaevich Pinzul
Home Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

Recently it was suggested that the correct symmetry of the noncommutative (quantum) field theory is the twisted Poincare group. The proposed research concerns the investigation of the various consequences of this suggestion from both theoretical and phenomenological points of view. We also propose to investigate the connection of this formulation of the 3D noncommutative gravity to noncommutative Chern-Simons theory as well as to look for the cosmological effects due to noncommutativity. (AU)

Scientific publications (7)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
MELIKYAN, A.; PINZUL, A. On quantum integrability of the Landau-Lifshitz model. Journal of Mathematical Physics, v. 50, n. 10 OCT 2009. Web of Science Citations: 10.
BALACHANDRAN, A. P.; PINZUL, A.; QUEIROZ, A. R. Twisted Poincare invariance, noncommutative gauge theories and UV-IR mixing. Physics Letters B, v. 668, n. 3, p. 241-245, OCT 9 2008. Web of Science Citations: 17.
MELIKYAN, A.; PINZUL, A.; RIVELLES, V. O.; WEBER, G. On S-matrix factorization of the Landau-Lifshitz model. Journal of High Energy Physics, n. 10 OCT 2008. Web of Science Citations: 6.
BALACHANDRAN‚ AP; PINZUL‚ A.; QURESHI‚ BA. Twisted Poincaré invariant quantum field theories. Physical Review D, v. 77, n. 2, p. 025021, 2008.
BALACHANDRAN‚ AP; PINZUL‚ A.; QURESHI‚ BA; VAIDYA‚ S. S matrix on the Moyal plane: locality versus Lorentz invariance. Physical Review D, v. 77, n. 2, p. 025020, 2008.
PINZUL‚ A.; STERN‚ A. Gauge theory of the star product. Nuclear Physics B, v. 791, n. 3, p. 284-297, 2008.
BALACHANDRAN‚ AP; PINZUL‚ A.; QURESHI‚ BA; VAIDYA‚ S. Twisted gauge and gravity theories on the Groenewold-Moyal plane. Physical Review D, v. 76, n. 10, p. 105025, 2007.

Please report errors in scientific publications list by writing to: cdi@fapesp.br.