Browsing Matemática by Procedence

Now showing items 1-4 of 4

    • Connes' tangent groupoid and strict quantization 

      Cariñena Marzo, José F.; Clemente Gallardo, Jesús; Follana, Eduardo; Gracia Bondía, José M.; Rivero, Alejandro; Várilly Boyle, Joseph C. (1999-12)
      We address one of the open problems in quantization theory recently listed by Rieffel. By developing in detail Connes' tangent groupoid principle and using previous work by Landsman, we show how to construct a strict flabby ...

    • Improved Epstein-Glaser renormalization in x-space versus differential renormalization 

      Gracia Bondía, José M.; Gutiérrez Garro, Heidy; Várilly Boyle, Joseph C. (2014-09)
      Renormalization of massless Feynman amplitudes in x-space is reexamined here, using almost exclusively real-variable methods. We compute a wealth of concrete examples by means of recursive extension of distributions. This ...

    • Moyal planes are spectral triples 

      Gayral, Victor; Gracia Bondía, José M.; Iochum, Bruno; Schücker, Thomas; Várilly Boyle, Joseph C. (2004-04)
      Axioms for nonunital spectral triples, extending those introduced in the unital case by Connes, are proposed. As a guide, and for the sake of their importance in noncommutative quantum field theory, the spaces R^2N endowed ...

    • Stora's fine notion of divergent amplitudes 

      Várilly Boyle, Joseph C.; Gracia Bondía, José M. (2016-11)
      Stora and coworkers refined the notion of divergent quantum amplitude, somewhat upsetting the standard power-counting recipe. This unexpectedly clears the way to new prototypes for free and interacting field theories of ...