Fetching the paper…
Reading the bibliography…
We show how (a slight modification of) the noncommutative geometry bosonic spectral action can be obtained by the cancelation of the scale anomaly of the fermionic action.
K. Fujikawa, “Comment On Chiral And Conformal Anomalies,” Phys. Rev. Lett. 44
1980
Earlier work this paper cites.
A. A. Andrianov, L. Bonora and R. Gamboa-Saravi, “Regularized Functional Integral For Fermions And Anomalies,” Phys. Rev. D 26
1982
Earlier work this paper cites.
A. Connes, Noncommutative Geometry
1984
Earlier work this paper cites.
A. A. Andrianov and L. Bonora, “Finite - Mode Regularization Of The Fermion Functional Integral,” Nucl. Phys. B 233
1984
Earlier work this paper cites.
A. A. Andrianov and L. Bonora, “Finite Mode Regularization Of The Fermion Functional Integral. 2,” Nucl. Phys. B 233
1984
Earlier work this paper cites.
P. Gilkey, Invariance Theory, the Heat Equation and the Athiya-Singer Index Theorem
1984
Earlier work this paper cites.
M. Wodzicki. Non-commutative Residue Chapter I. In Lecture Notes in Mathematics. Yu.I. Manin, editor, Vol. 1289, 320. Springer-Verlag, Berlin, (1987)
1987
Earlier work this paper cites.
A. A. Andrianov, V. A. Andrianov, V. Y. Novozhilov and Yu. V. Novozhilov, “Joint Chiral and Conformal Bosonization in QCD and the Linear Sigma Model,” Phys. Lett. B 186
1987
Earlier work this paper cites.
Y. V. Novozhilov and D. V. Vassilevich, “Induced Quantum Conformal Gravity,” Phys. Lett. B 220
1989
Earlier work this paper cites.
A. Connes and J. Lott, “Particle Models and Noncommutative Geometry (Expanded Version),” Nucl. Phys. Proc. Suppl. 18B
1991
Earlier work this paper cites.
M. J. Duff, “Twenty years of the Weyl anomaly,” Class. Quant. Grav. 11
1994
Cited alongside, same era.
A. Connes, “Noncommutative Geometry and Reality,” J. Math. Phys. 36
1995
Cited alongside, same era.
F. Lizzi, G. Mangano, G. Miele and G. Sparano, “Inflationary cosmology from noncommutative geometry,” Int. J. Mod. Phys. A 11
1996
Cited alongside, same era.
G. Landi, An Introduction to Noncommutative Spaces and their Geometries
1997
Cited alongside, same era.
A. H. Chamseddine and A. Connes, “The spectral action principle,” Commun. Math. Phys. 186
1997
Cited alongside, same era.
F. Lizzi, G. Mangano, G. Miele and G. Sparano, “Fermion Hilbert space and fermion doubling in the noncommutative geometry approach to gauge theories,” Phys. Rev. D 55
A. D. Sakharov, “Vacuum quantum fluctuations in curved space and the theory of gravitation,” Sov. Phys. Dokl. 12
2000
Later among the works it cites.
F. Lizzi, G. Mangano and G. Miele, “Another alternative to compactification: Noncommutative geometry and Randall-Sundrum models,” Mod. Phys. Lett. A 16
2001
Later among the works it cites.
M. Visser, “Sakharov’s induced gravity: A modern perspective,” Mod. Phys. Lett. A 17
2002
Later among the works it cites.
D. V. Vassilevich, Phys. Rept. 388
2003
Later among the works it cites.
A. H. Chamseddine, “Noncommutative gravity,” Annales Henri Poincare 4S2
2003
Later among the works it cites.
K. Fujikawa, H. Suzuki, Path Integrals And Quantum Anomalies
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1997
Cited alongside, same era.
J. M. Gracia-Bondia, B. Iochum and T. Schucker, “The standard model in noncommutative geometry and fermion doubling,” Phys. Lett. B 416
1998
Cited alongside, same era.
J.M. Gracia-Bondia, J.C. Varilly, H. Figueroa, Elements of Noncommutative Geometry
2000
Cited alongside, same era.
J. Madore, “An Introduction To Noncommutative Differential Geometry and its Physical Applications,” Lond. Math. Soc. Lect. Note Ser. 257
2000
Cited alongside, same era.
C. Bär, “Dependence on the spin structure of the Dirac spectrum”, Seminaires et Congres 4, Global Analysis and Harmonic Analysis, J.P. Bourguignon, T. Branson, O. Hijazi (Eds.), 17, 2000
2000
Cited alongside, same era.
Cited in the paper.
Cited in the paper.
2004
Later among the works it cites.
A. H. Chamseddine and A. Connes, “Scale invariance in the spectral action,” J. Math. Phys. 47
2006
Later among the works it cites.
A. Connes and M. Marcolli, Noncommutative Geometry from Quantum Fields to Motives
2007
Later among the works it cites.
A. H. Chamseddine, A. Connes and M. Marcolli, “Gravity and the standard model with neutrino mixing,” Adv. Theor. Math. Phys. 11
2007
Later among the works it cites.
A. Connes, “A unitary invariant in Riemannian geometry”, ArXiv:0810.2091
2091
Closest in time.