Rotating fermions inside a spherical boundary
Mathematical Physics
2020-09-10 v2 High Energy Physics - Theory
math.MP
Abstract
We apply the cannonical quantization procedure to the Dirac field inside a spherical boundary with rotating coordinates. The rotating quantum states with two kinds of boundary conditions, namely, spectral and MIT boundary conditions, are defined. To avoid faster-than-light, we require the speed on the surface to be less than the speed of light. For this situation, the definition of vacuum is unique and identical with the Minkowski vacuum. Finally, we calculate the thermal expectation value of the fermion condensate in a thermal equilibrium rotating fermion field and find it depends on the boundary condition.
Keywords
Cite
@article{arxiv.2006.00677,
title = {Rotating fermions inside a spherical boundary},
author = {Zheng Zhang and Chao Shi and Xiaofeng Luo and Hong-Shi Zong},
journal= {arXiv preprint arXiv:2006.00677},
year = {2020}
}