424 research outputs found
Improved action functionals in non-perturbative quantum gravity
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
A composition for the harp and violoncello commissioned for Rubano Arts Festival, performed by Giulia Rettore and Leonardo Sapere (7 min
On the Uniqueness of the Lagrangian Description for a Charged Particle in External Magnetic Field, Il Nuovo Cimento 98A (1987) 387
On the Uniqueness of the Lagrangian Description for a Charged Particle in External Magnetic Field, Il Nuovo Cimento 98A (1987) 387
Arnowitt-Deser-Misner gravity with variable G and Lambda and fixed point cosmologies from the renormalization group
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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