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Main Authors: Xiong, Jia-Ying, Ma, Yao, Sheng, Bing-Kai, Ma, Yong-Liang
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.04353
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author Xiong, Jia-Ying
Ma, Yao
Sheng, Bing-Kai
Ma, Yong-Liang
author_facet Xiong, Jia-Ying
Ma, Yao
Sheng, Bing-Kai
Ma, Yong-Liang
contents We established a new power counting scheme, chiral-scale density counting (CSDC) rules, for the application of the chiral-scale effective field theory to nuclear matter at finite densities and temperatures. Within this framework, the free fermion gas is at the leading order, while one-boson-exchange interactions appear at the next-to-leading order, and the multi-meson couplings are at higher orders. Then, we applied the CSDC rules to study the nuclear matter properties, and estimated the valid regions of the CSDC rules. It was found that the zero temperature symmetric nuclear matter properties around saturation density and the critical temperature of liquid-gas phase transition can be captured by an appropriate choice of CSDC orders, and the results beyond these regions are align with the chiral nuclear force. Moreover, the evolution of scale symmetry was found to be consistent with previous studies. The results of this work indicate that the quantum corrections may be crucial in the studies of nuclear matter in a wide density region.
format Preprint
id arxiv_https___arxiv_org_abs_2511_04353
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Chiral-scale effective field theory for dense and thermal systems
Xiong, Jia-Ying
Ma, Yao
Sheng, Bing-Kai
Ma, Yong-Liang
Nuclear Theory
We established a new power counting scheme, chiral-scale density counting (CSDC) rules, for the application of the chiral-scale effective field theory to nuclear matter at finite densities and temperatures. Within this framework, the free fermion gas is at the leading order, while one-boson-exchange interactions appear at the next-to-leading order, and the multi-meson couplings are at higher orders. Then, we applied the CSDC rules to study the nuclear matter properties, and estimated the valid regions of the CSDC rules. It was found that the zero temperature symmetric nuclear matter properties around saturation density and the critical temperature of liquid-gas phase transition can be captured by an appropriate choice of CSDC orders, and the results beyond these regions are align with the chiral nuclear force. Moreover, the evolution of scale symmetry was found to be consistent with previous studies. The results of this work indicate that the quantum corrections may be crucial in the studies of nuclear matter in a wide density region.
title Chiral-scale effective field theory for dense and thermal systems
topic Nuclear Theory
url https://arxiv.org/abs/2511.04353