Now showing items 1-3 of 3

    • A nonperturbative form of the spectral action principle in noncommutative geometry 

      Figueroa González, Héctor; Gracia Bondía, José M.; Lizzi, Fedele; Várilly Boyle, Joseph C. (1998-07)
      Using the formalism of superconnections, we show the existence of a bosonic action functional for the standard K-cycle in noncommutative geometry, giving rise, through the spectral action principle, only to the Einstein ...
    • Metric properties of the fuzzy sphere 

      D'Andrea, Francesco; Lizzi, Fedele; Várilly Boyle, Joseph C. (2013-02)
      The fuzzy sphere, as a quantum metric space, carries a sequence of metrics which we describe in detail. We show that the Bloch coherent states, with these spectral distances, form a sequence of metric spaces that converge ...
    • The Kirillov picture for the Wigner particle 

      Gracia Bondía, José M.; Lizzi, Fedele; Várilly Boyle, Joseph C.; Vitale, Patrizia (2018-06)
      We discuss the Kirillov method for massless Wigner particles, usually (mis)named "continuous spin" or "infinite spin" particles. These appear in Wigner's classification of the unitary representations of the Poincaré group, ...