Hadron resonance mass spectrum and lattice QCD thermodynamics

Karsch, Frithjof; Redlich, K.; Tawfik, A.

doi:10.1140/epjc/s2003-01228-y

Cited by 343 publications

(574 citation statements)

References 27 publications

Supporting

Mentioning

550

Contrasting

Order By: Relevance

“…eqs (34), (35) below. Then the dynamical part of the fermion Green function G R f (p) decouples from the integral.…”

Section: High Temperature Limit ("Hot Hadron Liquid" ) Multiple Rescmentioning

confidence: 99%

Hadron liquid with a small baryon chemical potential at finite temperature

Voskresensky¹

2004

Nuclear Physics A

View full text Add to dashboard Cite

We discuss general properties of a system of heavy fermions (including antiparticles) interacting with rather light bosons. First, we consider one diagram of Φ. The fermion chemical potential is assumed to be small, µ f < ∼ T . Already for the low temperature, T ≪ min(T bl.f , m b ), the fermion mass shell proves to be partially blurred due to multiple fermion rescatterings on virtual bosons, m b is the boson mass, T bl.f (≪ m f ) is the typical temperature corresponding to a complete blurring of the gap between fermion-antifermion continua, m f is the fermion mass. As the result, the ratio of the number of fermion-antifermion pairs to the number provided by the ordinary Boltzmann distribution becomes larger than unity (is the effective boson mass, the abundance of all particles dramatically increases. Bosons behave as quasi-static impurities, on which heavy fermions undergo multiple rescatterings. The soft thermal loop approximation solves the problem. The effective fermion mass m * f (T ) decreases with the temperature increase. For T > ∼ T bl.f fermions are essentially relativistic particles. Due to the interaction of the boson with fermion-antifermion pairs, m * b (T ) decreases leading to the possibility of the "hot Bose condensation" for T > T cb . The phase transition might be of the second order or of the first order depending on the species under consideration. We study in detail properties of the system of spin 1/2 heavy fermions interacting with substantially lighter scalar neutral bosons (e.g., N σ system). Correlation effects of higher order diagrams of Φ are evaluated resulting in a suppression of vertices for T > ∼ m * b (T ). The abundance of high-lying baryon resonances proves to be of the same order, as the nucleon-antinucleon abundance, or might be even higher for some species. Further we discuss the system of heavy fermions interacting with more light vector bosons (e.g., N ω and N ρ) and then, with pseudo-scalar bosons (e.g., N π). For the fermion -vector boson system correlation effects are incorporated by keeping the Ward identity. In case of the fermion -pseudo-scalar boson system correlation effects are rather small. Finally, we allow for all interactions. We estimate R N ∼ 1.5 for T ∼ m π /2; T bl.f proves to be near T cb ; both values are in the vicinity of the pion mass m π .

show abstract

“…eqs (34), (35) below. Then the dynamical part of the fermion Green function G R f (p) decouples from the integral.…”

Section: High Temperature Limit ("Hot Hadron Liquid" ) Multiple Rescmentioning

confidence: 99%

Hadron liquid with a small baryon chemical potential at finite temperature

Voskresensky¹

2004

Nuclear Physics A

View full text Add to dashboard Cite

show abstract

“…In the resonance gas model the partition function is a sum of one-particle partition functions of all mesons, baryons and their resonances [49]. In Fig.…”

Section: Comparison With the Resonance Gas Modelmentioning

confidence: 99%

“…parison with the resonance gas model which includes about 2000 degrees of freedom corresponding to resonances with masses below 2GeV . Since lattice calculations are done at unphysical quark masses the masses of experimentally know resonances have been extrapolated upward in quark mass to take this into account [49]. Note that pions contribute only 14% to the energy density at the transition temperature [49].…”

Section: Comparison With the Resonance Gas Modelmentioning

confidence: 99%

See 1 more Smart Citation

QCD Thermodynamics on lattice

Petreczky

2005

Nuclear Physics B - Proceedings Supplements

View full text Add to dashboard Cite

show abstract

“…This may be considered as the transition region between the high temperature QGP, where quarks and gluons are still not massless, but the quasiparticle masses are set by the scale λT c = 180 MeV, and the hadronic phase, near T c dominated by heavy resonances [8]. The large number of of different hadron types is the factor which accommodates the high entropy inherent in the QGP with liberated color degrees of freedom.…”

mentioning

confidence: 99%

Entropy of expanding QCD matter

Bı́ró

Zimányi

2007

Physics Letters B

View full text Add to dashboard Cite

We utilize the equation of state obtained in lattice QCD for an isentropically expanding fireball. We investigate the number of particles in an equivalent ideal gas, N = pV /T , by keeping the entropy, S, constant. We realize that this number reduces roughly to its one third, the fastest reduction rate occurs around the crossover temperature, Tc.It is a recurring accusation against the quark coalescence hadronization model that the entropy would be reduced by an enormous factor when transforming a quark-gluon plasma (QGP) into hadronic matter. Such argumentation, however, assume a massless ideal gas full with gluons on the QGP side and the lightest hadrons (pions) on the hadron side only.In this paper, based on our recent analysis of lattice QCD equation of state (eos) data[1], we show that during an adiabatic expansion the number of massive particles in a quasiparticle approach[2] can be reduced to half or to one third in a realistic expansion time. This quantitative property of the lattice QCD eos explains the success of the massive quark matter coalescence hadronization model [3,4,5].Our starting point is a fit to the pressure curve of Ref. [6]. The pressure of the realistic quark-gluon system, extrapolated to the continuum is well described by (cf. Fig.1)with c = 5.21 andwhere g = T c /T . The Stefan-Boltzmann coefficient per degree of freedom, σ(g), is temperature dependent. This reflects the interaction, in particular mass generation, in the lattice QCD eos [1]. At infinite temperature, g = 0, it is by construction σ(0) = 1.

show abstract

Hadron resonance mass spectrum and lattice QCD thermodynamics

Cited by 343 publications

References 27 publications

Hadron liquid with a small baryon chemical potential at finite temperature

Hadron liquid with a small baryon chemical potential at finite temperature

QCD Thermodynamics on lattice

Entropy of expanding QCD matter

Contact Info

Product

Resources

About