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Quark Matter in a Strong Magnetic Background

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Strongly Interacting Matter in Magnetic Fields

Part of the book series: Lecture Notes in Physics ((LNP,volume 871))

Abstract

In this chapter, we discuss several aspects of the theory of strong interactions in presence of a strong magnetic background. In particular, we summarize our results on the effect of the magnetic background on chiral symmetry restoration and deconfinement at finite temperature. Moreover, we compute the magnetic susceptibility of the chiral condensate and the quark polarization at zero temperature. Our theoretical framework is given by chiral models: the Nambu-Jona-Lasinio (NJL), the Polyakov improved NJL (or PNJL) and the Quark-Meson (QM) models. We also compare our results with the ones obtained by other groups.

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Notes

  1. 1.

    If the vacuum corrections are neglected, the deconfinement and chiral crossovers are found to be coincident even in very strong magnetic fields [71], but the critical temperature decreases as a function of eB; this scenario is very interesting theoretically, but it seems excluded from the recent Lattice simulations [44].

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Acknowledgements

We are pleased to acknowledge the editors of this volume of Lecture Notes in Physics for their interest in our work and their kind invitation to contribute to the book. We also acknowledge K. Fukushima and M. Frasca for scientific collaborations which led to some of the results presented here. Finally we also acknowledge many clarifying discussions with M. D’Elia and G. Endrodi about the topics discussed in this chapter, with particular reference to the ones related to Lattice simulations.

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Authors and Affiliations

  1. Departement de Physique Theorique, Universite de Geneve, CH-1211, Geneve 4, Switzerland

    Raoul Gatto

  2. Department of Astronomy and Physics, Catania University, Via S. Sofia 64, I-95125, Catania, Italy

    Marco Ruggieri

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  1. Raoul Gatto
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Correspondence to Raoul Gatto .

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Editors and Affiliations

  1. Department of Physics, Stony Brook University, Nicolls Rd 100, Stony Brook, 11794, New York, USA

    Dmitri Kharzeev

  2. Instituto de Fisica Teorica UAM/CSIC, Universidad Autonoma de Madrid, Nicolas Cabrera 13-15, Madrid, 28049, Spain

    Karl Landsteiner

  3. Institut für Theoretische Physik, Technische Universität Wien, Wiedner Haupstr. 8, Wien, 1040, Austria

    Andreas Schmitt

  4. Physics Department (MC 273), University of Illinois at Chicago, West Taylor Street 845Rm 2236, Chicago, 60607, Illinois, USA

    Ho-Ung Yee

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Gatto, R., Ruggieri, M. (2013). Quark Matter in a Strong Magnetic Background. In: Kharzeev, D., Landsteiner, K., Schmitt, A., Yee, HU. (eds) Strongly Interacting Matter in Magnetic Fields. Lecture Notes in Physics, vol 871. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37305-3_4

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