Non-relativistic trace anomaly and equation of state in dense fermionic matter
arxiv(2024)
摘要
We theoretically investigate a non-relativistic trace anomaly and its impact
on the low-temperature equation of state in spatially one-dimensional
three-component fermionic systems with a three-body interaction, which exhibit
a non-trivial three-body crossover from a bound trimer gas to dense fermionic
matter with increasing density. By applying the G-matrix approach to the
three-body interaction, we obtain the analytical expression for the
ground-state equation of state relevant to the high-density degenerate regime
and thereby address how the three-body contact or, equivalently, the trace
anomaly emerges. The analytical results are compared with the recent quantum
Monte Carlo data. Our study of the trace anomaly and the sound speed could have
some relevance to the physics of hadron-quark crossover in compact stars.
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