Demystifier said:With presently existing computer power, lattice calculations are not suitable for very precise computations in 3+1 dimensions. For that reason, g-2 is not a quantity suitable for a lattice treatment. It can be computed in principle, but in practice it cannot be computed with such a big precision.
Some of the approaches are partial resummation of perturbative expansion, effective theory modeling, lower dimensional analogues, axiomatic approaches, ...star apple said:What is other non-perturbative approach other than lattice QFT?
Demystifier said:Some of the approaches are partial resummation of perturbative expansion, effective theory modeling, lower dimensional analogues, axiomatic approaches, ...
Yes we would.star apple said:Say.. about the Higgs Hierarchy Problems (https://en.wikipedia.org/wiki/Hierarchy_problem).. would we still have the same problem if we use non-perturbative QFT?
Demystifier said:Yes we would.
You mix up some independent concepts such as quantum correction, perturbation and renormalization. Any of these concepts can make sense without the others.star apple said:Oh.. why is there still "quantum corrections" in non-perturbative QFT? Is it not the Hierarchy Problem is due to the quantum corrections.. so what is the counterpart of "quantum corrections" in non-perturbative QFT?
Perturbative means it is Taylor expansion and since we can't solve the higher order of the coupling constants. So we renormalize to lower power and eliminate the higher power. Does Non-perturbative means we can solve the higher power? But if it is infinite.. how can non-perturbation solve it?
Demystifier said:You mix up some independent concepts such as quantum correction, perturbation and renormalization. Any of these concepts can make sense without the others.
Demystifier said:You mix up some independent concepts such as quantum correction, perturbation and renormalization. Any of these concepts can make sense without the others.
Finetuning and naturalness are not artifacts of doing perturbation theory.star apple said:To which extent is finetuning (and hence naturalness) an artefact of doing perturbation theory?
I'm sure there are, but I am not an expert in exactly solvable QFT's so I cannot give a concrete example.star apple said:Are there exactly soluble QFT's which suffer from naturalness/finetuning problems? Others are asking this same questions too.
Demystifier said:Finetuning and naturalness are not artifacts of doing perturbation theory.
I'm sure there are, but I am not an expert in exactly solvable QFT's so I cannot give a concrete example.
For instance, if you study SM on the lattice, you have to choose some UV cutoff on the lattice. The physical quantities may strongly depend on that choice, which can lead to a fine tuning problem.star apple said:Ah, ok. how would finetuning of the Higgs mass show up in a non-perturbative formulation of the SM? Thanks a lot.
The electron gyromagnetic ratio, also known as the g-factor or the Landé g-factor, is a dimensionless quantity that describes the magnetic moment of an electron in relation to its angular momentum. It is approximately equal to 2, indicating that the electron behaves like a spinning charged particle.
The electron gyromagnetic ratio can be measured using various experimental techniques, such as nuclear magnetic resonance, electron spin resonance, and atomic spectroscopy. These methods involve applying a magnetic field to the electron and observing the resulting energy levels.
Lattice quantum field theory is a theoretical framework used to study the dynamics of quantum field theories on a discrete lattice. It involves discretizing the space and time coordinates in order to make calculations more computationally tractable. This approach is particularly useful for studying strongly coupled systems, such as those found in condensed matter physics.
In lattice quantum field theory, the electron gyromagnetic ratio can be calculated by simulating the behavior of electrons on a lattice and measuring their magnetic moment. This allows for the prediction and verification of the electron's behavior in different conditions, such as in the presence of external fields or in different materials.
Understanding the electron gyromagnetic ratio and lattice quantum field theory has implications in various fields of physics, such as particle physics, condensed matter physics, and cosmology. It can help us understand the behavior of electrons in different materials and environments, as well as provide insights into the fundamental nature of matter and the universe.