Deutsch Intern
    Faculty of Physics and Astronomy

    Mini-Workshop Black Holes

    A path integral for the square root action of the relativistic point particle
    Date: 01/15/2019, 11:30 AM - 1:00 PM
    Category: Fakultät für Physik und Astronomie, Seminar
    Location: Hubland Süd, Geb. P1 (Physik), SE 5
    Organizer: Lehrstuhl für Theoretische Physik III
    Speaker: Prof. Dr. Benjamin Koch - Pontificia Universidad Católica, Santiago, Chile

    We present a stepwise construction of the path integral over relativistic orbits in Euclidean spacetime. It is shown that the apparent problems of this path integral, like the breakdown of the naive Chapman–Kolmogorov relation, can be solved by a careful analysis of the overcounting associated with local and global symmetries. Based on this, the direct calculation of the quantum propagator of the relativistic point particle in the path integral formulation results from a simple and purely geometric construction.