424 research outputs found

    Improved action functionals in non-perturbative quantum gravity

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    Models of gravity with variable G and Lambda have acquired greater relevance after the recent evidence in favour of the Einstein theory being non-perturbatively renormalizable in the Weinberg sense. The present paper builds a modified Arnowitt-Deser-Misner (ADM) action functional for such models which leads to a power-law growth of the scale factor for pure gravity and for a massless phi**4 theory in a Universe with Robertson-Walker symmetry, in agreement with the recently developed fixed-point cosmology. Interestingly, the renormalization-group flow at the fixed point is found to be compatible with a Lagrangian description of the running quantities G and Lambda

    Come Cristallo di Cianuro Rubano Arts Festival, Padua, Italy

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    A composition for the harp and violoncello commissioned for Rubano Arts Festival, performed by Giulia Rettore and Leonardo Sapere (7 min

    Arnowitt-Deser-Misner gravity with variable G and Lambda and fixed point cosmologies from the renormalization group

    No full text
    Models of gravity with variable G and Lambda have acquired greater relevance after the recent evidence in favour of the Einstein theory being non-perturbatively renormalizable in the Weinberg sense. The present paper applies the Arnowitt– Deser–Misner (ADM) formalism to such a class of gravitational models. A modified action functional is then built which reduces to the Einstein–Hilbert action when G is constant, and leads to a power-law growth of the scale factor for pure gravity and for a massless φ**4 theory in a universe with Robertson– Walker symmetry, in agreement with the recently developed fixed-point cosmology. Interestingly, the renormalization-group flow at the fixed point is found to be compatible with a Lagrangian description of the running quantities G and Lambda
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