Spectral geometry and gravity

• Grant number: 15/05120-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: September 01, 2015
• End date: December 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Dmitry Vasilevich
• Grantee: Maxim Kurkov
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
• Associated research grant: 12/00333-7 - Problems in quantum mechanics and quantum field theory with strong backgrounds and in noncommutative spacetimes, AP.TEM

Abstract

The spectral action principle allows unification of gravity with other fundamental interaction. We propose to study the aspects of spectral action and other spectral apporaches related to the gravity. We shall study the ultaviolet regime of the action and look for pheneomenological and cosmological consquences.

Scientific publications

(11)

(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)

CANFORA, FABRIZIO; KURKOV, MAXIM A.; ROSA, LUIGI; VITALE, PATRIZIA. The Gribov problem in noncommutative QED. Journal of High Energy Physics, n. 1, JAN 4 2016. (15/05120-0)

KURKOV, MAXIM A.; LIZZI, FEDELE. Clifford structures in noncommutative geometry and the extended scalar sector. Physical Review D, v. 97, n. 8, APR 30 2018. (15/05120-0)

KURKOV, M.; VASSILEVICH, D.. Parity anomaly in four dimensions. PHYSICAL REVIEW D, v. 96, n. 2, p. 7-pg., 2017-07-14. (15/05120-0, 16/03319-6)

CANFORA, FABRIZIO; KURKOV, MAXIM A.; ROSA, LUIGI; VITALE, PATRIZIA. The Gribov problem in noncommutative QED. Journal of High Energy Physics, v. N/A, n. 1, p. 20-pg., 2016-01-04. (15/05120-0)

KURKOV, MAXIM A.; LIZZI, FEDELE. Clifford structures in noncommutative geometry and the extended scalar sector. PHYSICAL REVIEW D, v. 97, n. 8, p. 12-pg., 2018-04-30. (15/05120-0)

KURKOV, MAXIM; VASSILEVICH, DMITRI. Gravitational parity anomaly with and without boundaries. Journal of High Energy Physics, n. 3, MAR 13 2018. (16/03319-6, 15/05120-0)

KURKOV, M.; VASSILEVICH, D.. Parity anomaly in four dimensions. Physical Review D, v. 96, n. 2, JUL 14 2017. (16/03319-6, 15/05120-0)

D'ANDREA, FRANCESCO; KURKOV, MAXIM A.; LIZZI, FEDELE. Wick rotation and fermion doubling in noncommutative geometry. Physical Review D, v. 94, n. 2, JUL 22 2016. (15/05120-0)

KURKOV, MAXIM A.. Emergent spontaneous symmetry breaking and emergent symmetry restoration in rippling gravitational background. EUROPEAN PHYSICAL JOURNAL C, v. 76, n. 6, JUN 16 2016. (15/05120-0)

KURKOV, MAXIM; VASSILEVICH, DMITRI. Gravitational parity anomaly with and without boundaries. Journal of High Energy Physics, v. N/A, n. 3, p. 17-pg., 2018-03-13. (15/05120-0, 16/03319-6)

D'ANDREA, FRANCESCO; KURKOV, MAXIM A.; LIZZI, FEDELE. Wick rotation and fermion doubling in noncommutative geometry. PHYSICAL REVIEW D, v. 94, n. 2, p. 15-pg., 2016-07-22. (15/05120-0)