Colóquio de Física

  • Responsável: PPG-FIS
  • Câmpus: Santo André
  • Local: meet.google.com/dnt-ujjo-jyp
  • Data: 18/11/2020
  • Horário: 14:00 às 16:00
  • Descrição:

    Palestrante: Gustavo Rigolin (UFSCAR)
    Título: On Lorentz invariant complex scalar fields

    Resumo: We obtain a Lorentz covariant wave equation whose complex wave function transforms under a Lorentz boost according to the following rule, Psi(x) –> exp{ig(x)}Psi(x). We show that the spacetime dependent phase g(x) is the most natural relativistic extension of the phase associated with the transformation rule for the non-relativistic Schrödinger wave function when it is subjected to a Galilean transformation. We then generalize the previous analysis by postulating that Psi(x) transforms according to the above rule under proper Lorentz transformations (boosts or spatial rotations).
    This is the most general transformation rule compatible with a Lorentz
    invariant physical theory whose observables are bilinear functions of the field Psi(x).
    We also formulate logically consistent classical and quantum field
    theories associated with these Lorentz covariant wave equations.
    We show that it is possible to make those theories equivalent to the
    Klein-Gordon theory whenever we have self-interacting terms that do not break their Lorentz invariance or if we introduce electromagnetic interactions via the minimal coupling prescription.
    For interactions that break Lorentz invariance, however, we show that
    the present theories are not equivalent to Klein-Gordon’s and that particles and antiparticles behave differently, with the latter being more unstable. This suggests a possible connection between Lorentz invariance-breaking interactions and the matter-antimatter asymmetry problem.
    We also show that the complex scalar field theories here presented
    suggest that particles and antiparticles should have masses with
    different signs. We then show that this difference in the sign of the
    mass between particles and antiparticles shows up for Lorentz invariance-breaking interactions.

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  • Link de divulgação: https://bit.ly/37sbEw9

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