Thermal properties and evolution of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>U</mml:mi><mml:mi>A</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>factor for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math>flavors

Fejős, G.; Hosaka, Atsushi

doi:10.1103/physrevd.94.036005

Cited by 34 publications

(53 citation statements)

References 41 publications

(52 reference statements)

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“…Note that in order to do so, it is required to calculate various field derivatives of the effective action. The necessary formulas can be found in Appendix B and in [15]. In this section, we review the numerical results that have been obtained at finite temperature and finite baryochemical potential.…”

Section: Resultsmentioning

confidence: 99%

“…First, we determine h 0 and h 8 from the partially conserved axialvector current (PCAC) relations (we use values of f π , f K decay constants [27]), in accordance with [15], then fit the masses of π, K, η, η , N , and finally, choose g in a way that the nucleon mass gets as much contribution from the symmetry breaking as possible. The following values were employed for parametrization [27]:…”

Section: Resultsmentioning

confidence: 99%

“…The reader is referred to Appendix A for detailed expressions of ∂ k U k , ∂ k C k , ∂ k A k , and for field derivatives of the action. Regarding the procedure in more detail, the reader should consult with [15]. Now we are only left with the flow of V N k,M , i.e.…”

Section: Solution Of the Flow Equationmentioning

confidence: 99%

“…The corresponding formulas for V M k,M can be found in [15], here, we take care of V N k,M . One obtains the following expressions:…”

Section: (B2)mentioning

confidence: 99%

“…Concerning effective model calculations for 2 + 1 flavors, due to the melting of the chiral condensate at finite temperature, they predict a drop in the η mass around the critical temperature [9][10][11], but a common feature of these calculations is to treat the anomaly parameter without being affected by fluctuations. In [15], we introduced a scale-dependent anomaly function and investigated the effect of mesonic fluctuations (both quantum and thermal) on it. We found that these fluctuations are significant and cannot be neglected, as the axial anomaly tend to strengthen toward the critical temperature once they are taken into account.…”

Section: Introductionmentioning

confidence: 99%

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Mesonic and nucleon fluctuation effects at finite baryon density

Fejős

2017

Phys. Rev. D

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Mesonic and nucleon fluctuation effects are investigated in medium. We couple the nucleon field to the 2 + 1 flavor meson model and investigate the finite temperature and density behavior of the system, in particular, the axial anomaly function. Somewhat contrary to earlier expectations we find that it tends to strengthen at finite density. At lower temperatures nucleon density fluctuations can cause a relative difference in the UA(1) axial anomaly of about 20%. This has important consequences on the mesonic spectra, especially on the η − η system, as we observe no drop in the η mass as a function of the baryochemical potential, irrespective of the temperature. Based on the details of chiral symmetry restoration, it is argued that there has to be a competition between underlying QCD effects of the anomaly and fluctuations of the low energy hadronic degrees of freedom, and the fate of the UA(1) coefficient should be decided by taking into account both effects simultaneously.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Solution Of the Flow Equationmentioning

confidence: 99%

“…The corresponding formulas for V M k,M can be found in [15], here, we take care of V N k,M . One obtains the following expressions:…”

Section: (B2)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Mesonic and nucleon fluctuation effects at finite baryon density

Fejős

2017

Phys. Rev. D

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Three Lectures on QCD Phase Transitions

Pisarski

2022

Understanding the Origin of Matter

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Fate of the topological susceptibility in two-color dense QCD

Kawaguchi,

Suenaga

2023

J. High Energ. Phys.

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We explore the topological susceptibility at finite quark chemical potential and zero temperature in two-color QCD (QC2D) with two flavors. Through the Ward-Takahashi identities of QC2D, we find that the topological susceptibility in the vacuum solely depends on three observables: the pion decay constant, the pion mass, and the η mass in the low-energy regime of QC2D. Based on the identities, we numerically evaluate the topological susceptibility at finite quark chemical potential using the linear sigma model with the approximate Pauli-Gursey SU(4) symmetry. Our findings indicate that, in the absence of U(1)A anomaly effects represented by the Kobayashi-Maskawa-’t Hooft-type determinant interaction, the topological susceptibility vanishes in both the hadronic and baryon superfluid phases. On the other hand, when the U(1)A anomaly effects are present, the constant and nonzero topological susceptibility is induced in the hadronic phase, reflecting the mass difference between the pion and η meson. Meanwhile, in the superfluid phase it begins to decrease smoothly. The asymptotic behavior of the decrement is fitted by the continuous reduction of the chiral condensate in dense QC2D, which is similar to the behavior observed in hot three-color QCD matter. In addition, effects from the finite diquark source on the topological susceptibility are discussed. We expect that the present study provides a clue to shed light on the role of the U(1)A anomaly in cold and dense QCD matter.

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Thermal properties and evolution of theUA(1)factor for2+1flavors

Cited by 34 publications

References 41 publications

Mesonic and nucleon fluctuation effects at finite baryon density

Mesonic and nucleon fluctuation effects at finite baryon density

Three Lectures on QCD Phase Transitions

Fate of the topological susceptibility in two-color dense QCD

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