We show that a generalized Dirac structure survives beyond the linear regime of the low-energy dispersion relations of graphene. A generalized uncertainty principle of the kind compatible with specific quantum gravity scenarios with a fundamental minimal length (here graphene lattice spacing) and Lorentz violation (here the particle/hole asymmetry, the trigonal warping, etc.) is naturally obtained. We then show that the corresponding emergent field theory is a table-top realization of such scenarios, by explicitly computing the third order Hamiltonian, and giving the general recipe for any order. Remarkably, our results imply that going beyond the low-energy approximation does not spoil the well known correspondence with analogue massless quantum electrodynamics phenomena (as usually believed), but rather it is a way to obtain experimental signatures of quantum-gravity-like corrections to such phenomena.

The dynamical net-charge fluctuations (ν dyn ) in different particle ratios K/π, K/p, and p/π are calculated from the hadron resonance gas (HRG) model and compared with STAR central Au+Au collisions at √ sNN = 7.7 − 200 GeV and NA49 central Pb+Pb collisions at √ sNN = 6.3 − 17.3 GeV. The three charged-particle ratios (K/π, K/p, and p/π) are determined as total and average of opposite and average of same charges. We find an excellent agreement between the HRG calculations and the experimental measurements, especially from STAR beam energy scan (BES) program, while the strange particles in the NA49 experiment at lower Super Proton Synchrotron (SPS) energies are not reproduced by the HRG approach. We conclude that the utilized HRG version seems to take into consideration various types of correlations including strong interactions through the heavy resonances and their decays especially at BES energies.PACS numbers: 24.10. Pa,75.20.Hr,25.75.Nq, Thermal models of nuclear reactions, fluctuation phenomena and valence fluctuations, production of quark-gluon plasma, hadron-induced high-energy reactions * The authors declare that there is no conflict of interest regarding the publication of this manuscript. † Electronic address: a.tawfik@eng.mti.edu.eg

A simple phenomenological potential model is suggested to describe the interaction between the constituent quarks of meson systems. Taking the spin-dependence terms in consideration modifies some previous potential models. The resonance masses and the leptonic decay widths of cc, bb, cs, bs, bū and cb mesons are calculated using the nonrelativistic wave equation. A comparison between the present calculations and the available experimental results are given.

The interaction of Nucleon-Nucleon (N N ) has certain physical characteristics, which indicated by nucleon, and meson degrees of freedom. The main purpose of this work is calculating the ground state energies of 2 1 H and 4 2 He through the two-body system with the exchange of mesons (π, σ, ω) that mediated between two nucleons. This paper investigates NN interaction based on the quasirelativistic decoupled Dirac equation and self-consistent Hartree-Fock formulation. We construct one-boson exchange potential (OBEP) model, where each nucleon is treated as a Dirac particle and acts as a source of pseudoscalar, scalar, and vector fields. The potential in the present work is analytically derived with two static functions of meson, the single particle energy dependent(SPED) and generalized Yukawa (GY) functions, the parameters used in meson functions are just published ones (mass, coupling constant,and cut off parameters). The theoretical results are compared to other theoretical models and their corresponding experimental data, one can see that the SPED function gives more satisfied agreement than the GY function in case of the considered nuclei.

The quark-gluon plasma (QGP) equation of state within a minimal length scenario or Generalized Uncertainty Principle (GU P ) is studied. The Generalized Uncertainty Principle is implemented on deriving the thermodynamics of ideal QGP at a vanishing chemical potential. We find a significant effect for the GUP term. The main features of QCD lattice results were quantitatively achieved in case of n f = 0, n f = 2 and n f = 2 + 1 flavors for the energy density, the pressure and the interaction measure. The exciting point is the large value of bag pressure especially in case of n f = 2 + 1 flavor which reflects the strong correlation between quarks in this bag which is already expected. One can notice that, the asymptotic behavior which is characterized by Stephan-Boltzmann limit would be satisfied.