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Chemical potential response of pseudoscalar meson masses in the Nambu--Jona-Lasinio model

High Energy Physics - Lattice · Submitted 15 Oct 2001

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim It means that dm/d\mu is much dependent on the mass difference between the two quarks, i.e., the u and s quarks (or even between the u and d quarks).

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arXiv IDhep-lat/0110089 (version 2)
Pith ID42VF34LT, Pith's permanent record of this paper and its review
CitationO. Miyamura, S. Choe. "Chemical potential response of pseudoscalar meson masses in the Nambu--Jona-Lasinio model." arXiv:hep-lat/0110089 (2001). https://pith.science/paper/42VF34LT
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,900 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.22 · human participants 0.01 · controlled comparison 0.52 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.47 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

Using the Nambu--Jona-Lasinio (NJL) model we study chemical potential response of the pion and kaon masses as a function of temperature and chemical potential, i.e., dm/d\mu (T, \mu). First, we obtain the responses assuming the vector-axial vector coupling is zero (g_V=0). Then, we include a non-zero g_V and study the effects of g_V on the responses. We find that the behavior of dm/d\mu for the pion is quite different from that for the kaon. It means that dm/d\mu is much dependent on the mass difference between the two quarks, i.e., the u and s quarks (or even between the u and d quarks). Our results may give a clue to future studies of dm/d\mu on the lattice.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Using the Nambu--Jona-Lasinio (NJL) model we study chemical potential response of the pion and kaon masses as a function of temperature and chemical potential, i.e., dm/d\mu (T, \mu). contribution 0.98 0.93 0.05 asserted 0.91
s1 First, we obtain the responses assuming the vector-axial vector coupling is zero (g_V=0). method 0.93 0.94 0.02 asserted 0.97
s2 Then, we include a non-zero g_V and study the effects of g_V on the responses. method 0.87 0.94 0.03 asserted 0.75
s3 We find that the behavior of dm/d\mu for the pion is quite different from that for the kaon. result 1.00 0.96 0.46 asserted 1.00
s4 It means that dm/d\mu is much dependent on the mass difference between the two quarks, i.e., the u and s quarks (or even between the u and d quarks). interpretation 0.99 0.82 0.60 asserted 0.94
s5 Our results may give a clue to future studies of dm/d\mu on the lattice. future work 0.93 0.35 0.06 hedged possibility 1.00

What kind of paper the classifier reports this is: theoretical result 0.56 · evidence from simulation or computation 0.89.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Using the Nambu--Jona-Lasinio (NJL) model we study chemical potential response of the pion and kaon masses as a function of temperature and chemical potential, i.e., dm/d\mu (T, \mu). First, we obtain the responses assuming the vector-axial vector coupling is zero (g_V=0). Then, we include a non-zero g_V and study the effects of g_V on the responses. We find that the behavior of dm/d\mu for the pion is quite different from that for the kaon. It means that dm/d\mu is much dependent on the mass difference between the two quarks, i.e., the u and s quarks (or even between the u and d quarks). Our results may give a clue to future studies of dm/d\mu on the lattice.

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