3-7 July 2023
University of Zululand
Africa/Johannesburg timezone
The Proceedings of SAIP2023 Published: 20 December 2023

Equation of state and the Casimir effect in non-Abelian gauge theory on the lattice

5 Jul 2023, 14:00
20m
University of Zululand

University of Zululand

Oral Presentation Track G - Theoretical and Computational Physics Theoretical and Computational Physics

Speaker

Mr Blessed Arthur Ngwenya (University of Cape Town)

Description

We present a study of the equation of state in finite-temperature non-Abelian gauge theory for isotropic and anisotropic lattices, where the temperature $T$ is varied by changing the temporal lattice size $N_t$ at fixed lattice scale $a$. We compute the trace anomaly and the corresponding pressure/energy density and show the lattice spacing, as well as the volume dependence, with the corresponding the jackknife statistical error analysis. We also present results of the Casimir potential and the Casimir mass in $SU(2)$ at zero-temperature in $(2+1)$ spacetime dimensions, studied through the introduction of two parallel chmomoelectric wires separated by a distance $R$ on the lattice plaquettes. We show that the attractive Casimir interaction varies exponentially with the distance between the wires and is damped at large separation between the wires.

Level for award;(Hons, MSc, PhD, N/A)?

PhD

Apply to be considered for a student ; award (Yes / No)? Yes

Primary author

Mr Blessed Arthur Ngwenya (University of Cape Town)

Co-authors

Prof. Alexander Rothkopf (University of Stavanger) William Horowitz (University of Cape Town)

Presentation Materials

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