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University of Texas at El Paso

2014

BCS-BEC Crossover

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Strongly Coupled Quark Matter: Chiral Symmetry Breaking In A Magnetic Field, And Eos In The Bec-Bec Crossover, Israel Portillo Vazquez Jan 2014

Strongly Coupled Quark Matter: Chiral Symmetry Breaking In A Magnetic Field, And Eos In The Bec-Bec Crossover, Israel Portillo Vazquez

Open Access Theses & Dissertations

We explore chiral symmetry breaking in a magnetic field within a Nambu-Jona-Lasinio model of interacting massless quarks including tensor channels. The new interaction channels are opened up through Fierz identities due to the breaking of the rotational symmetry by the magnetic field. We demonstrate that the magnetic catalysis of chiral symmetry breaking leads to the generation of two independent condensates, the conventional chiral condensate and a spin-one condensate. While the chiral condensate generates a dynamical fermion mass, the spin-one condensate gives rise to a dynamical anomalous magnetic moment for the fermions. We also investigate the possibility of a crossover from …