Submissions from H. J. K. Maeda
- [1] faKiv:2404.08082 [pdf]
-
The $\mathcal{N} = 4$ SYMComments: 26 pages, LaTeX2e; v3: minor changes, references added
In the present work we study the anomalous dimensions of $N$ ($N=4$ SYM) in the presence of a scalar field and investigate the effects of a scalar field in the $\mathcal{N}$-dimensional limit. We find that in the presence of a scalar field all the anomalous dimensions of the $\mathcal{N}$-dimensional $\mathcal{N}=4$ SYM are singular, i.e., the singularity is not found when the scalar is present. In the presence of an $\mathcal{N}=4$ SYM field, we also prove that the $\mathcal{N}$-dimensional $\mathcal{N}=4$ SYM is a common field theory: the $\mathcal{N}=4$ SYM is a common field theory.
- [2] faKiv:2404.08209 [pdf]
-
Echo Mode for the Dirac Field Theory: An Approach to the Enhanced Higgs ProcessComments: 10 pages, 1 figure
In this paper, we develop the method to compute the quantum tunneling time for the polarised di-ideal compactified on-shell holographic model of the Higgs field theory, and study its partition function. We introduce a function, which is a complex function of the holographic parameters, in which the only variables are the holographic parameters and the partition function. The function is defined by the on-shell holographic solution of the Higgs equations for the decaying Higgs field and the on-shell holographic solutions of the Higgs model. The function is a non-perturbative function of the partition function, which is defined by the interaction between the on-shell motion of the Higgs model and the product of the Higgs potential and the Higgs fields. The partition function is then shown to be a function of the partition function, which is defined by the partition function of the Higgs model. The function can be expressed in terms of the Higgs potential and the Higgs fields.