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Nuclear Theory·nucl-th

Monday·June 11, 2018

8 papers—6 primary·2 cross-listed

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  1. 07

    [Submitted on 8 Jun 2018] (cross-list from hep-th)

    Thermomagnetic properties and Bjorken expansion of hot QCD matter in a strong magnetic field

    Shubhalaxmi Rath🇮🇳 · Binoy Krishna Patra🇮🇳

    In this work we have studied the effects of an external strong magnetic field on the thermodynamic and magnetic properties of a hot QCD matter and then explored these effects on the subsequent hydrodynamic expansion of the said matter once produced in the ultrarelativistic heavy ion collisions. For that purpose, we have computed the quark and gluon self-energies up to one loop in the strong magnetic field, using the HTL approximation with two hard scales - temperature and magnetic field, which in turn compute the effective propagators for quarks and gluons, respectively. Hence the quark and gluon contributions to the free energy are obtained from the respective propagators and finally derive the equation of state (EOS) by calculating the pressure and energy density. We have found that the speed of sound is enhanced due to the presence of strong magnetic field and this effect will be later exploited in the hydrodynamics. Thereafter the magnetic properties are studied from the free energy of the matter, where the magnetization is found to increase linearly with the magnetic field, thus hints the paramagnetic behavior. The temperature dependence of the magnetization is also studied, where the magnetization is found to increase slowly with the temperature. Finally, to see how a strong magnetic field could affect the hydrodynamic evolution, we have revisited the Bjorken boost-invariant picture with our paramagnetic EOS as an input in the equation of motion for the energy-momentum conservation. We have noticed that the energy density evolves faster than in the absence of strong magnetic field, i.e. cooling becomes faster, which could have implications on the heavy-ion phenomenology. As mentioned earlier, this observation can be understood by the enhancement of the speed of sound.

    Comments:
    37 pages with 5 figures
    Subjects:
    High Energy Physics — Theory (hep-th); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    1806.03008 [pdf]
    EPJA(2019)·26 citations
  2. 08

    [Submitted on 8 Jun 2018] (cross-list from hep-ph)

    Factorization of the soft gluon divergence from the dipole picture deep inelastic scattering cross sections at next-to-leading order

    B. Ducloué🇫🇷 · H. Hänninen🇫🇮 · T. Lappi🇫🇮 · Y. Zhu🇩🇪

    We use a factorization scheme analogous to one proposed for single inclusive forward hadron production to factorize the soft gluon divergence present in the deep inelastic scattering cross sections in the dipole picture at next-to-leading order (NLO). We show numerically that in this carefully constructed scheme it is possible to obtain meaningful results for the DIS cross sections at NLO, and so we are able to quantitatively study the recently derived NLO corrections to the DIS cross sections. We find that the NLO corrections can be significant and sensitive to the details of the factorization scheme used for the resummation of the large logarithms into the BK evolution equation. In the case of an approximative factorization scheme we observe a problematic behavior of the DIS cross sections similar to what has been seen with analogously factorized single inclusive cross sections.

    Comments:
    6 pages, 3 figures. Prepared for the proceedings of the DIS2018: XXVI International Workshop on Deep Inelastic Scattering and Related Subjects
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    1806.03080 [pdf]
    PoS(2018)·0 citations

Affiliations

first authorsco-authorsvia INSPIRE