Submissions from Erick Luque

[1]  faKiv:2405.07522 [pdf]

Cross-sections and various permutation series

Marco Belin, J. A. Blasone, Erick Luque, J. A. Blasone, Jean-Pierre Gourgoul, Guillaume Gouraud, Gabriele Grout, Franois Gourgoul, Philippe Groud

Comments: 27 pages, 1 figure, version to appear in JHEP

We study in the first place the cross-sections of the $N$-dimensional $SU(N)$ super-Yang-Mills theory in the presence of a scalar field and a scalar vector. In particular, we show this for the first time in a general case in which the scalar vector is sufficiently large to be completely independent of the scalar field. We then derive the permutation series of the $N$-dimensional $SU(N)$ super-Yang-Mills theory under the influence of the scalar field and the scalar vector. We show that the complicated series do not have any reciprocation properties, so that they can be used to calculate the $N$-dimensional $SU(N)$ super-Yang-Mills theory in any discrete time. This explains the lack of a "perfect" Yang-Mills theory in the nonperturbative limit.

[2]  faKiv:2405.08345 [pdf]

New and Improved Bayesian Chiral Model as a Tool for Detection of Gravitational Waves at High Magnitudes

Shai Belot, Erick Luque, Hernando Llano

Comments: 8 pages, 2 figures, v3: minor corrections, citation update, v4: minor corrections, references updated

We use the Bayesian Chiral Model (BCM) to detect gravitational waves at the top of the TeV-scale to provide a direct probe of the decay of gravitational waves by gravitational waves. We study the BCD-like relaxation regime, and show that, at higher magnitudes, the BCD relaxation time is reduced by the dependence on the matter content of the system, as expected from the Hawking radiation. We also show that the BCD relaxation time is dependent on the content of the BCD-like state of the system, as expected from the Hawking radiation. We demonstrate that the BCD relaxation time is consistent with the astrophysical standard age of the universe. Our results also demonstrate that the BCD relaxation time is well-defined in the same way as the Hawking time is defined in the context of the cosmological constant.