Revisiting equation of state for white dwarfs within finite temperature quantum field theory. (arXiv:1904.09174v1 [astro-ph.HE])

Revisiting equation of state for white dwarfs within finite temperature quantum field theory. (arXiv:1904.09174v1 [astro-ph.HE])
<a href="http://arxiv.org/find/astro-ph/1/au:+Hossain_G/0/1/0/all/0/1">Golam Mortuza Hossain</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Mandal_S/0/1/0/all/0/1">Susobhan Mandal</a>

The effects of fine-structure constant on the equation of state of degenerate
matter in the white dwarfs are computed in literature using electrostatic
considerations which break Lorentz invariance ab initio. Given special
relativity plays a key role in the white dwarf physics, such computations are
therefore unsatisfactory. After reviewing the existing literature, here we
employ the techniques of finite temperature relativistic quantum field theory
to compute the equation of state of degenerate matter in the white dwarfs. In
particular, we compute the leading order corrections due to the fine-structure
constant and the finite temperature. Using a fairly general consideration we
show that the fine-structure constant corrections involve an apriori
undetermined parameter whose determination may shed light on the underlying
structure within the degenerate matter.

The effects of fine-structure constant on the equation of state of degenerate
matter in the white dwarfs are computed in literature using electrostatic
considerations which break Lorentz invariance ab initio. Given special
relativity plays a key role in the white dwarf physics, such computations are
therefore unsatisfactory. After reviewing the existing literature, here we
employ the techniques of finite temperature relativistic quantum field theory
to compute the equation of state of degenerate matter in the white dwarfs. In
particular, we compute the leading order corrections due to the fine-structure
constant and the finite temperature. Using a fairly general consideration we
show that the fine-structure constant corrections involve an apriori
undetermined parameter whose determination may shed light on the underlying
structure within the degenerate matter.

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