11 papers
Gauge-Invariant Off-Shell Mass
Kang-Sin Choi, Hyeseon Im
We define a gauge-invariant and renormalized off-shell mass function in quantum field theory. The conventional self-energy is gauge-dependent off-shell. We generalize the self-ener…
A Quantitative Definition of Intelligence
Kang-Sin Choi
We propose an operational, quantitative definition of intelligence for arbitrary physical systems. The intelligence density of a system is the ratio of the logarithm of its indepen…
The Gauge-Invariant Mass Function
Kang-Sin Choi
In gauge theories, the mass of a field has been regarded as a purely on-shell concept: the pole mass is gauge-invariant, but the off-shell propagator has had no gauge-invariant def…
On the Gauge-Invariant Fermion
Kang-Sin Choi
We show that the Dirac dressing of the fermion is equivalent to a shift of the gauge parameter. For every gauge, the gauge-dependent part is projected out of physical observables.…
Natural Higgs Mass from Power-Law Running
Kang-Sin Choi
The renormalized scalar mass squared is a function of the energy scale and power-runs as its square. Well above the electroweak scale, its dimensionless couplings evolve only slowl…
One-Loop Correction to the Higgs Mass
Kang-Sin Choi
We present the complete one-loop corrected Higgs mass within the Standard Model. It is crucial to identify the observable mass as the renormalized one that depends on the external…
Self-Similar Structure of Loop Amplitudes and Renormalization
Kang-Sin Choi
We study the self-similar structure of loop amplitudes in quantum field theory and apply it to amplitude generation and renormalization. A renormalized amplitude can be regarded as…
Stability of the Scalar Mass against Loop Corrections
Kang-Sin Choi
We show that the renormalized loop corrections to the scalar mass are suppressed if the field in the loop is heavy. Here, treating the renormalized mass is important, as it is the…
Renormalization, Decoupling and the Hierarchy Problem
Kang-Sin Choi
The hierarchy problem is associated with renormalization and decoupling. The smallness of the scalar mass against loop corrections follows from the decoupling of heavy fields, once…
Exact Renormalization of the Higgs Field
Kang-Sin Choi
Using Wilsonian renormalization, we calculate the quantum correction to observable quantities, rather than the bare parameters, of the Higgs field. A physical parameter, such as a…
On the Observables of Renormalizable Interactions
Kang-Sin Choi
We reconsider the renormalization of scalar mass and point out that the quantum correction to the physical observable, as opposed to the bare parameter, of a renormalizable operato…