nLab Jose Gracia-Bondia (changes)

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Selected writings:

On the Moyal product as the polarized groupoid convolution algebra of the corresponding symplectic groupoid, hence as an example of geometric quantization of symplectic groupoids:

• José Gracia-Bondia, Joseph Varilly, From geometric quantization to Moyal quantization, J. Math. Phys. 36 (1995) 2691-2701 (arXiv:hep-th/9406170)

On the Connes-Lott-Chamseddine-Barrett model:

• José Gracia-Bondia, On Marshak’s and Connes’ views of chirality, in: E. C. G. Sudarshan (ed.), A Gift of Prophecy, Essays in Celebration of the Life of Robert Eugene Marshak, pp. 208-217, World Scientific (1995) (arXiv:hep-th/9706200, doi:10.1142/9789812831408_0017)

On noncommutative geometry:

• José Gracia-Bondia, Joseph Varilly, Héctor Figueroa, Elements of noncommutative geometry, Birkhäuser 2001. xviii+685 pp. (doi:10.1007/978-1-4612-0005-5, gBooks)

On renormalization of the Higgs field’s diphoton decay using causal perturbation theory:

• Pawel Duch, Michael Duetsch, Jose Gracia-Bondia, Diphoton decay of the higgs from the Epstein–Glaser viewpoint (arXiv:2011.12675)

• Moyal deformation quantization

• geometric quantization of symplectic groupoids

• renormalization

• Feynman diagram

• differential renormalization

• Connes-Lott-Chamseddine-Barrett model