Finite temperature quantum correlations in SU(2)cSU(2)_c quark states and quantum spin models

The entanglement at finite temperatures are analyzed by using thermal models for colored quarks making up the hadron physical states. We have found that these quantum correlations entirely vanish at $T_c\geq m_q/\ln(1.5)$. For temperatures larger than $T_c$ the correlations are classical. Also we worked out the entanglement for the transverse Ising spin chain. In dependence on both temperature $T$ and transverse field $\lambda$ we can identify a certain region, where the quantum effects are likely to dominate the system. We suggest the mutual information as a quantitative measure for the correlations in ground state.Comment: 15 pages, 10 eps-figure

QGP fireball explosion

We identify the major physics milestones in the development of strange hadrons as an observable for both the formation of quark-gluon plasma, and of the ensuing explosive disintegration of deconfined matter fireball formed in relativistic heavy ion collisions at 160--20A GeV. We describe the physical properties of QGP phase and show agreement with the expectations based on an analysis of hadron abundances. We than also demonstrate that the m_t shape of hadron spectra is in qualitative agreement with the sudden breakup of a supercooled QGP fireball.Comment: 10 pages, incl. 4 figures J. Phys. G in press; presented at STRANGENESS2000 International Conference, Berkeley July 200

Effect of the unpolarized spin state in spin-correlation measurement of two protons produced in the 12C(d,2He) reaction

In this note we discuss the effect of the unpolarized state in the spin-correlation measurement of the $^1S_0$ two-proton state produced in 12C(d,2He) reaction at the KVI, Groningen. We show that in the presence of the unpolarized state the maximal violation of the CHSH-Bell inequality is lower than the classical limit if the purity of the state is less than $\sim \verb+70$. In particular, for the KVI experiment the violation of the CHSH-Bell inequality should be corrected by a factor $\sim\verb+10$ from the pure $^1S_0$ state.Comment: 6 pages, to appear in J. Phys.

Finite temperature quantum correlations in su(2)(c) quark states and quantum spin models

The entanglement at finite temperatures is analyzed by using thermal models for colored quarks making tip the hadron physical states. We have found that these quantum correlations entirely vanish at T-c >= m(q)/ln(1.5). For temperatures larger than T-c the correlations are classical. We have also worked out the entanglement for the transverse Ising spin chain. In dependence on both temperature T and transverse field A we can identify a certain region, where the quantum effects are likely to dominate the system. We suggest the mutual information as a quantitative measure for the correlations in the ground state

The influence of strange quarks on QCD phase diagram and chemical freeze-out: Results from the hadron resonance gas model

We confront the lattice results on QCD phase diagram for two and three flavors with the hadron resonance gas model. Taking into account the truncations in the Taylor-expansion of energy density $\epsilon$ done on the lattice at finite chemical potential $\mu$, we find that the hadron resonance gas model under the condition of constant $\epsilon$ describes very well the lattice phase diagram. We also calculate the chemical freeze-out curve according to the entropy density $s$. The $s$-values are taken from lattice QCD simulations with two and three flavors. We find that this condition is excellent in reproducing the experimentally estimated parameters of the chemical freeze-out.Comment: 5 pages, 3 figures and 1 table Talk given at VIIIth international conference on ''Strangeness in Quark Matter'' (SQM 2004), Cape Town, South Africa, Sep. 15-20 200

Canonical aspects of strangeness enhancement

Strangeness enhancement (SE) in heavy ion collisions can be understood in the statistical model on the basis of canonical suppression. In this formulation,SE is a consequence of the transition from canonical to the asymptotic grand canonical limit and is predicted to be a decreasing function of collision energy. This model predictions are consistent with the recent NA49 data on $\Lambda$ enhancement at $p_{lab}=40, 80, 158$ GeV.Comment: 4 pages, 4 figures. To appear in the proceedings of Quark Matter 2002 (Nantes, France

Lower bounds for heights in relative Galois extensions

The goal of this paper is to obtain lower bounds on the height of an algebraic number in a relative setting, extending previous work of Amoroso and Masser. Specifically, in our first theorem, we obtain an effective bound for the height of an algebraic number $\alpha$ when the base field $\mathbb{K}$ is a number field and $\mathbb{K}(\alpha)/\mathbb{K}$ is Galois. Our second result establishes an explicit height bound for any nonzero element $\alpha$ which is not a root of unity in a Galois extension $\mathbb{F}/\mathbb{K}$, depending on the degree of $\mathbb{K}/\mathbb{Q}$ and the number of conjugates of $\alpha$ which are multiplicatively independent over $\mathbb{K}$. As a consequence, we obtain a height bound for such $\alpha$ that is independent of the multiplicative independence condition

Pulmonary hypertension: An important predictor of outcomes in patients undergoing non-cardiac surgery

SummaryObjectivesPerioperative risk associated with pulmonary hypertension (PH) in patients undergoing non-cardiac surgery (NCS) remains poorly defined. We report perioperative outcomes in a large cohort of patients undergoing NCS, comparing those with and without PH.MethodsPatients undergoing NCS at our institution between January 2002 and December 2006, were cross matched with a Right Heart Catheterization (RHC) database for the same period. Patients were excluded if they were <18 years old and if they underwent cardiac surgery prior to NCS or minor procedures using local anesthesia or sedation. Controls were defined as patients who underwent similar NCS with mean pulmonary arterial pressure (MPAP) ≤ 25 mmHg.Results173 patients underwent RHC and NCS during the specified period and were included in the analysis. Of these 96 (55%) had PH. Mean pulmonary arterial pressure (p = 0.001), American Association of Anesthesiology Class (p = 0.02), and chronic renal insufficiency (p = 0.03) were determined as independent risk factors for post-operative morbidity. Patients with PH were more likely to develop congestive heart failure (p < 0.001; OR: 11.9), hemodynamic instability (p < 0.002), sepsis (p < 0.0005), and respiratory failure (p < 0.004). Patients with PH needed longer ventilatory support (p < 0.002), stayed longer in the ICU (p < 0.04), and were more frequently readmitted to the hospital within 30 days (p < 008; OR 2.4).ConclusionsIn addition to the traditionally known risk factors for outcomes after NCS such as coronary artery disease, diabetes mellitus, chronic renal insufficiency, American Society of Anesthesiology class, the presence of underlying PH can have a significant negative impact on perioperative outcomes