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Chiral and Diquark condensates at large magnetic field in two-flavor superconducting quark matter

2009/12/08 by Tanumoy Mandal, Mandal, Tanumoy, Prashanth Jaikumar +3 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #hep-ph #nucl-th

paper · pdf · doi:10.48550/arxiv.0912.1413

8 pages, 6 figure files

arxiv created 2009/12/08 · arxiv updated 2010/01/07

Abstract

We study the effect of a large magnetic field on the chiral and diquark condensates in a regime of moderately dense quark matter. Our focus is on the inter-dependence of the two condensates through non-perturbative quark mass and strong coupling effects, which we address in a 2-flavor Nambu-Jona-Lasinio (NJL) model. For magnetic fields eB\lesssim 0.01 GeV2 (corresponding to B\lesssim 1018G), our results agree qualitatively with the zero-field study of Huang et al., who found a mixed broken phase region where the chiral and superconducting gap are both non-zero. For eB\gtrsim 0.01 GeV2 and moderate diquark-to-scalar coupling ratio GD/GS, we find that the chiral and superconducting transitions become weaker but with little change in either transition density. For large GD/GS however, such a large magnetic field disrupts the mixed broken phase region and changes a smooth crossover found in the zero-field case to a first-order transition at neutron star interior densities.

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