Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-05-10
Class.Quant.Grav. 15 (1998) 1281-1314
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
34p, LATEX
Scientific paper
10.1088/0264-9381/15/5/012
It is an old speculation in physics that, once the gravitational field is successfully quantized, it should serve as the natural regulator of infrared and ultraviolet singularities that plague quantum field theories in a background metric. We demonstrate that this idea is implemented in a precise sense within the framework of four-dimensional canonical Lorentzian quantum gravity in the continuum. Specifically, we show that the Hamiltonian of the standard model supports a representation in which finite linear combinations of Wilson loop functionals around closed loops, as well as along open lines with fermionic and Higgs field insertions at the end points are densely defined operators. This Hamiltonian, surprisingly, does not suffer from any singularities, it is completely finite without renormalization. This property is shared by string theory. In contrast to string theory, however, we are dealing with a particular phase of the standard model coupled to gravity which is entirely non-perturbatively defined and second quantized.
No associations
LandOfFree
QSD V : Quantum Gravity as the Natural Regulator of Matter Quantum Field Theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with QSD V : Quantum Gravity as the Natural Regulator of Matter Quantum Field Theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and QSD V : Quantum Gravity as the Natural Regulator of Matter Quantum Field Theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-603278