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mixing. Adv. Theor. Math. Phys. 11, 991–1089 (2007)
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emergence of Pati-Salam unification. JHEP 1311, 132 (2013)
7. A.H. Chamseddine, A. Connes, W.D. van Suijlekom, Grand unification in the spectral PatiSalam model. JHEP 1511, 011 (2015)
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and Particle Physics (Oxford 1988). Inst. Math. Applu. Conf. Ser. New Ser., vol. 24 (Oxford
University Press, New York, 1990), pp. 9–48
9. A. Connes, Noncommutative Geometry (Academic Press, San Diego, 1994)
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11. A. Connes, Gravity coupled with matter and the foundation of non-commutative geometry.
Commun. Math. Phys. 182, 155–176 (1996)
12. A. Connes, M. Marcolli, Noncommutative Geometry, Quantum Fields and Motives. Colloquium Publications, vol. 55 (American Mathematical Society, Providence, 2008)
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Phys. 31(10), 129–141 (2019)
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253
3. A.H. Chamseddine, A. Connes, Universal formula for noncommutative geometry actions:
unifications of gravity and the standard model. Phys. Rev. Lett. 77, 4868–4871 (1996)
4. A.H. Chamseddine, A. Connes, The spectral action principle. Commun. Math. Phys. 186,
731–750 (1997)
5. A.H. Chamseddine, A. Connes, M. Marcolli, Gravity and the Standard Model with neutrino
mixing. Adv. Theor. Math. Phys. 11, 991–1089 (2007)
6. A.H. Chamseddine, A. Connes, W.D. van Suijlekom, Beyond the spectral standard model:
emergence of Pati-Salam unification. JHEP 1311, 132 (2013)
7. A.H. Chamseddine, A. Connes, W.D. van Suijlekom, Grand unification in the spectral PatiSalam model. JHEP 1511, 011 (2015)
8. A. Connes, Essay on physics and noncommutative geometry, in The Interfaces of Mathematics
and Particle Physics (Oxford 1988). Inst. Math. Applu. Conf. Ser. New Ser., vol. 24 (Oxford
University Press, New York, 1990), pp. 9–48
9. A. Connes, Noncommutative Geometry (Academic Press, San Diego, 1994)
10. A. Connes, Noncommutative geometry and reality. J. Math. Phys. 36(11), 6194–6231 (1995)
11. A. Connes, Gravity coupled with matter and the foundation of non-commutative geometry.
Commun. Math. Phys. 182, 155–176 (1996)
12. A. Connes, M. Marcolli, Noncommutative Geometry, Quantum Fields and Motives. Colloquium Publications, vol. 55 (American Mathematical Society, Providence, 2008)
13. A. Devastato, F. Lizzi, P. Martinetti, Grand symmetry, spectral action, and the Higgs mass.
JHEP 1401, 042 (2014)
14. L.D. Faddeev, V.N. Popov, Feynman diagrams for the Yang-Mills field. Phys. Lett. B25, 29–30
(1967)
15. G. Felder, D. Kazhdan, The classical master equation, in Perspectives in Representation
Theory, Contemporary Mathematics, ed. by P. Etingof, M. Khovanov, A. Savage (American
Mathematical Society, Providence, 2014)
16. R.P. Feynman, A.R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York,
1965)
17. R.A. Iseppi, The BV formalism: theory and application to a U(2)-matrix model. Rev. Math.
Phys. 31(10), 129–141 (2019)
18. R.A. Iseppi, W.D. van Suijlekom, Noncommutative Geometry and the BV formalism:
application to a matrix model. J. Geom. Phys. 120, 129–141 (2017)