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

• Grant number: 06/56056-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: April 01, 2007
• End date: October 31, 2008
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Paulo Teotonio Sobrinho
• Grantee: Aleksandr Nikolaievich Pinzul
• Host 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

(8)

(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)

PINZUL‚ A.; STERN‚ A.. Gauge theory of the star product. Nuclear Physics B, v. 791, n. 3, p. 284-297, 2008. (06/56056-0)

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. (06/56056-0)

BALACHANDRAN‚ AP; PINZUL‚ A.; QURESHI‚ BA. Twisted Poincaré invariant quantum field theories. Physical Review D, v. 77, n. 2, p. 025021, 2008. (06/56056-0)

MELIKYAN, A.; PINZUL, A.; RIVELLES, V. O.; WEBER, G.. On S-matrix factorization of the Landau-Lifshitz model. Journal of High Energy Physics, v. N/A, n. 10, p. 26-pg., 2008-10-01. (06/02939-9, 05/05147-3, 06/56056-0)

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. (05/05147-3, 06/56056-0, 06/02939-9)

MELIKYAN, A.; PINZUL, A.. On quantum integrability of the Landau-Lifshitz model. Journal of Mathematical Physics, v. 50, n. 10, OCT 2009. (05/05147-3, 06/56056-0)

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. (06/56056-0)

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. (06/56056-0)