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In this work, the PLECHDE model with Granda-Oliveros (G-O) IR-cutoff is studied. The evolution of dark energy density, deceleration and EoS parameters are calculated. I demonstrate that under a condition, our universe can accelerate near the phantom barrier at present time. We calculate these parameters also in PLECHDE at Ricci scale, when when $\alpha=2$ and $\beta=1$, and at last a comparison between Ricci scale, G-O cutoff and non-corrected HDE without matter field with G-O cutoff is done. The correspondence between this model and some scalar field of dark energy models is established. By this method, the evolutionary treatment of kinetic energy and potential for quintessence, tachyon, K-essence and dilaton fields, are obtained. I show that the results has a good compatibility with previous work in the limiting case of flat, dark dominated and non corrected holographic dark energy., Comment: 15 pages, one table, some sentences and references are added, accepted by modern Phys. L. A (MPLA)

Starting from the universal entropy bounds suggested by Bekenstein and Susskind and applying them to the black-body radiation situation, we get a cut-off of space $ \Delta x \geq \chi l_{\mathrm{P}}$ with $\chi \geq 0.1$. We go further to get a cut-off of time $ \Delta t \geq \chi l_{\mathrm{P}}/c $, thus, the discrete space-time structure is obtained. With the discrete space-time, we can explain the uncertainty principle. Based on the hypothesis of information theory and the entropy of black holes, we get the precise value of the parameter $\chi$ and demonstrate the reason why the entropy bounds hold., Comment: 9 latex pages, no figure, final version for journal publication

We have shown that the possibility of the existence of the mixed phase of the non-uniform chiral (NCh) and the color superconducting (2SC) ground state depends significantly on the choice of the parameters and type of the regularization scheme. Our calculations indicate that irrespective of the choice of regularization type, in a moderate baryon density region, there is a local minimum of a system corresponding to the NCh/2SC related phase. In the 3d cutoff regularization scheme, the mixed region of the NCh and the 2SC phases exists for a broad set of NJL model parameters. However, in the Schwinger regularization scheme, if parameters are set to the vacuum values of fπ, mπ and [Formula: see text], then the mixed region of the NCh and the 2SC phases does not exist.

The extended quark delocalization color screening model, which incorporates Goldstone–boson-exchange with soft cutoff, and chiral quark model are employed to do a systematic dynamical calculation of six-quark systems with strangeness. The two models give similar results, although they have different attraction mechanisms. Comparing with the previous calculation of the extended quark delocalization color screening model, in which the Goldstone–bosons are introduced with hard cutoff, the present calculation obtains a little large binding energies for most of the states. However, the conclusions are the same. The calculations show that NΩ state with IJ = 1/2, 2 is a good dibaryon candidate with narrow width, and ΩΩ state with IJ = 00 is a stable dibaryon against the strong interaction. The calculations also reveal several other possible dibaryon candidates with high angular momentum, ΔΣ*(1/2, 3), ΔΞ*(1, 3), etc. These states may have too wide width to be observed experimentally.

Results from the High Resolution Fly's Eye (HiRes) experiment and the Pierre Auger Observatory (PAO) on the observation of the Greissen-Zatsepin-Kuzmin cutoff in the cosmic ray spectrum are presented. Both experiments observe a cutoff consistent with the GZK predictions with a five and six sigma significance respectively. The nature of the cosmic ray composition near the GZK cutoff is discussed as well as the recent claim of a correlation of the highest energy cosmic rays with AGNs in the Southern sky.

We consider the possibility that the particles in the Ultra High Energy Cosmic Rays arriving to Earth might be neutrons instead of protons. We stress that in such case the argument for the GZK cutoff is weaker and that it is conceivable that neutrons would not be affected by it. This scenario would require the neutron to start with an energy larger than the observed one, in order to be able to travel the distances involved, within its proper life-time. It must then loose most of the extra energy through interaction with the galactic dark matter or some other matter in the intergalactic medium., 4 pages, revtex two columns, small changes and more references. Accepted for publication in Modern Physics Letters A

The HiRes Collaboration has recently announced preliminary measurements of the energy spectrum of ultra-high energy cosmic rays (UHECR), as seen in monocular analyses from each of the two HiRes sites. This spectrum is consistent with the existence of the GZK cutoff, as well other aspects of the energy loss processes that cause the GZK cutoff. Based on the analytic energy loss formalism of Berezinsky {\it et al.}, the HiRes spectra favor a distribution of extragalactic sources that has a similar distribution to that of luminous matter in the universe, both in its local over-density and in its cosmological evolution., 12 pages, 6 figures

Exact renormalization group techniques are applied to the mass deformed [Formula: see text] super-symmetric Yang–Mills theory, viewed as a regularized [Formula: see text] model. The solution of the flow equation, in case of dominance of the potential term, reproduces the one-loop (perturbatively exact) expression for the effective action of [Formula: see text] supersymmetric Yang–Mills theory, when the regularizing mass, M, reaches the value of the dynamical cutoff Λ. One speculates about the way in which further nonperturbative contributions (instanton effects) may be accounted for.

We present a simple physical representation for states of two-dimensional string theory. In order to incorporate a fundamental cutoff of the order 1/gst we use a picture consisting of q oscillators at the first quantized level. In this framework we also find a representation for the (singular) negatively dressed states representing nontrivial string backgrounds.

A regularization scheme is discussed, in which the naive momentum cutoff of an internal loop integral ∫d4q is modified to ∫d4qe±iq.ε. The uv divergence is suppressed by high frequency oscillation of e±iq.ε. Since the regulator is removed as ε→0, logarithmic divergence is expressed as logarithmic singularity of ε such as ln (μ|ε|) where μ is an arbitrary mass parameter. With ε as a mere parameter describing uv divergence, this regularization method does not break the important Poincaré invariance and gauge symmetry. This method also allows easier evaluation of loop integrals than the dimensional regularization, and clearly expresses quadratic divergences, which do not appear in the dimensional regularization.

Monte-Carlo lattice data for thermodynamical functions and the heavy-quark potential for an SU(2) gluon plasma are considered in the “cutoff” model with a temperature dependent cutoff parameter. Good agreement with the data in both cases was found. We compare these results with a model of gluons with a thermal mass and find little difference between the two models. The results obtained for the heavy-quark potential are significantly better in both cases than those obtained from pure perturbative calculations.

We study the possible positron/electron excesses within the multi-component leptonically decaying dark matter (DM) scenario by fitting the most recent AMS-02 data on the positron fraction and total [Formula: see text] flux. We show that both the single- and two-component DM models are able to fit the two AMS-02 datasets. However, the single-component DM model favors the [Formula: see text] energy cutoff from the DM decay less than 1 TeV through the [Formula: see text]-channel, which is already well constrained by the diffuse [Formula: see text]-ray spectrum measured by Fermi-LAT. For the two-component case with closing the [Formula: see text]-mode for the heavy DM particle, we find that the new AMS-02 data allows the heavy DM cutoff larger than 1 TeV, providing a good description of the high-energy behavior of the total [Formula: see text] flux and satisfying the diffuse [Formula: see text]-ray constraint.

The Tamm-Dancoff (TD) deformation of the boson oscillator incorporates a high energy cutoff in its spectrum. It is found that one can obtain a similar deformation of any generalized bosonic oscillator algebra. The Hopf (or ‘quantum’) algebraic aspects of the TD-deformation are discussed. Examples are given.

The [Formula: see text] mixing parameter is evaluated by making the parameters (g2, gt and v) included in its one-loop estimation, run according to the variation of loop momentum squared. Even though the running behavior of gt and v distinguishes models with and without dynamical breaking due to the top condensation, the relatively lower cutoff scale Λ10 GeV, or the larger value of mt (100 GeV) >250 GeV is necessary in order to recognize in the [Formula: see text] mixing a sizable amount of modification by the renormalization group equations.

Using Leibbrandt's general prescription for regularizing (n · q)−1 poles in momentum intergrals in axial-type non-covariant gauges we show that the difference between two linearly divergent integrals which arise in such gauges yield a surface term which is logarithmically divergent. The form of divergence of this term is shown to be independent of the choice of non-covariant gauge. We show that such a term modifies the expression for the one-loop Yang–Mills self-energy evaluated using a cutoff scheme of adding to it a divergent part.

This paper is devoted to study the power-law entropy corrected holographic dark energy (ECHDE) model in the framework of f(T) gravity. We assume infrared (IR) cutoff in terms of Granda–Oliveros (GO) length and discuss the constructed f(T) model in interacting as well as in non-interacting scenarios. We explore some cosmological parameters like equation of state (EoS), deceleration, statefinder parameters as well as ωT–ωT′ analysis. The EoS and deceleration parameters indicate phantom behavior of the accelerated expansion of the universe. It is mentioned here that statefinder trajectories represent consistent results with ΛCDM limit, while evolution trajectory of ωT–ωT′ phase plane does not approach to ΛCDM limit for both interacting and non-interacting cases.