Condensates and pressure of two-flavor chiral perturbation theory at nonzero isospin and temperature

Adhikari, Prabal; Andersen, Jens O.; Mojahed, Martin A.

doi:10.1140/epjc/s10052-021-08948-6

Cited by 16 publications

(9 citation statements)

References 58 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the SU(3) formulation, the same is also likely for kaons. There is abundant evidence and results about the phase of both condensations in the lattice QCD simulations and also in the theoretical models [7][8][9][10][11][12][13][14]. As the present analysis only remains below BEC, we did not calculate BEC, although some of the relevant features concerning finite mu I would also happen in the BEC phase.…”

Section: Introductionmentioning

confidence: 78%

See 1 more Smart Citation

QCD Phase Structure and In-Medium Modifications of Meson Masses in Polyakov Linear-Sigma Model with Finite Isospin Asymmetry

Tawfik

2023

Universe

View full text Add to dashboard Cite

In the QCD-like effective model, the Polyakov linear-sigma model, the isospin sigma field (σ¯3=fK±−fK0) and the third generator of the matrix of the explicit symmetry breaking [h3=ma02fK±−fK0] are estimated in terms of the decay constants of the neutral (fK0) and charged Kaon (fK±) and the mass of a0 meson. Both quantities σ¯3 and h3 are then evaluated, at finite baryon (μB), isospin chemical potential (μI), and temperature (T). Thereby, the dependence of the critical temperature on isospin chemical potential could be mapped out in the (T−μI) phase diagram In the QCD-like effective model, the Polyakov linear-sigma model, the isospin sigma field (σ¯3=fK±−fK0) and the third generator of the matrix of the explicit symmetry breaking [h3=ma02fK±−fK0] are estimated in terms of the decay constants of the neutral (fK0) and charged Kaon (fK±) and the mass of a0 meson. Both quantities σ¯3 and h3 are then evaluated, at finite baryon (μB), isospin chemical potential (μI), and temperature (T). Thereby, the dependence of the critical temperature on isospin chemical potential could be mapped out in the (T−μI) phase diagram. The in-medium modifications of pseudoscalars (Jpc=0−+), scalars (Jpc=0++), vectors (Jpc=1−−), and axial-vectors (Jpc=1++) meson states are then analyzed in thermal and dense medium. We conclude that the QCD phase diagram (T−μI) is qualitatively similar to the (T−μB) phase diagram. We also conclude that both temperature and isospin chemical potential enhance the in-medium modifications of the meson states a0, σ, η′, π, f0, κ, η, K, ρ, ω, κ*, ϕ, a1, f1, K*, and f1*. Regarding their chemical potential, at high temperatures the various meson states likely dissolve into colored partonic phase. In this limit, the meson masses form a universal bundle. Thus, we conclude that the increase in the chemical potential similar to temperature derives the colorless confined meson states into the colored deconfined parton phase.

show abstract

Section: Introductionmentioning

confidence: 78%

“…At nonzero µ I , T, µ S , µ B , a chiral perturbation theory framework with quite compelling results compared to lattice simulations has been reported [7][8][9][10][11][12][13][14]. The Polyakov linearsigma model (PLSM) as a QCD-like approach is well developed [21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

QCD Phase Structure and In-Medium Modifications of Meson Masses in Polyakov Linear-Sigma Model with Finite Isospin Asymmetry

Tawfik

2023

Universe

View full text Add to dashboard Cite

show abstract

“…Hence it is possible to calculate observables for much larger values of the chemical potential compared to the µ B case, and it is precisely for these value that bias can become significant. The QCD phase diagram in the T -µ I plane is also a topic of interest in its own right [36][37][38], and our formalism could prove useful in future lattice QCD studies based on the Taylor series approach.…”

Section: A Results For Finite Isospin Chemical Potentialmentioning

confidence: 99%

New way to resum the lattice QCD Taylor series equation of state at finite chemical potential

2022

View full text Add to dashboard Cite

“…At zero temperature, they show that a second order phase transition at a critical isospin chemical potential (corresponding to the vacuum pion mass), separates the hadron from the pion condensate phase [14]. In addition to LQCD, these phases are also found using chiral perturbation theory (χPT) [16][17][18][19][20][21][22][23][24][25][26][27][28], Hard Thermal Loop perturbation theory (HTLPt) [29], the Nambu-Jona-Lasinio (NJL) model [9,[30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45] and its Polyakov loop (PNJL) extended version [46,47], the quark meson model (QMM) [48][49][50][51] and other low energy effective models exploiting functional RG studies [52]. Calculations using a LQCD equation of state for finite µ I have investigated the viability of the existence of pion stars, with a pion condensate as the dominant core constituent [24,53].…”

Section: Introductionmentioning

confidence: 99%

QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case

Ayala¹,

Bandyopadhyay²,

Farias³

et al. 2023

Preprint

View full text Add to dashboard Cite

We use the two-flavor linear sigma model with quarks to study the phase structure of isospin asymmetric matter at zero temperature. The meson degrees of freedom provide the mean field chiral-and isospin-condensates on top of which we compute the effective potential accounting for quark fluctuations at one-loop order. Using the renormalizability of the model, we absorb the ultraviolet divergences into suitable counter-terms that are added respecting the original structure of the theory. These counter-terms are determined from the stability conditions which require the effective potential to have minima in the condensates directions at the classical values, as well as the transition from the non-condensed to the condensed phase to be smooth as a function of the isospin chemical potential. We use the model to study the evolution of the condensates as well as the pressure, energy and isospin densities and the sound velocity as functions of the isospin chemical potential. The approach does a good average description up to isospin chemical potentials values not too large as compared to the vacuum pion mass.

show abstract

Condensates and pressure of two-flavor chiral perturbation theory at nonzero isospin and temperature

Cited by 16 publications

References 58 publications

QCD Phase Structure and In-Medium Modifications of Meson Masses in Polyakov Linear-Sigma Model with Finite Isospin Asymmetry

QCD Phase Structure and In-Medium Modifications of Meson Masses in Polyakov Linear-Sigma Model with Finite Isospin Asymmetry

New way to resum the lattice QCD Taylor series equation of state at finite chemical potential

QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case

Contact Info

Product

Resources

About