MPG-VT-UR 202/00 Ginzburg-Landau equations for superconducting quark matter in neutron stars
نویسنده
چکیده
We investigate magnetic properties of color superconducting quark matter within a Ginzburg-Landau approach. The simultaneous coupling of the quark fields to gluonic and electromagnetic gauge fields leads to “rotated electromagnetism” with a massive (Higgsed) and a massless photon-gluon field. We derive the Ginzburg-Landau equations for superconducting quark matter taking into account the “rotated electromagnetism” in the general case when the rotation angle α is an arbitrary function of the coordinates. We obtain expressions for the calculation of the penetration depth, the quantized magnetic flux Φq and the lower critical field Hc1 for the massive field and discuss the possibility of vortex formation in the superconducting quark matter interior of a compact star. We consider consequences of possible solutions of these equations for the question whether the magnetic field lines will be expelled from the superconducting quark core (Meissner effect). PACS number(s): 12.38.Mh, 26.60+c, 97.60.Jd Typeset using REVTEX
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