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Open Access Theses & Dissertations

Chiral Symmetry

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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 ...


Finite Density Qed At Strong Magnetic Field, Paul Lee Springsteen Jan 2014

Finite Density Qed At Strong Magnetic Field, Paul Lee Springsteen

Open Access Theses & Dissertations

In this Thesis we study the effect of a dense medium on the quantum properties of a relativistic electron-positron plasma under a magnetic field. From the calculation of the photon polarization operator depending on temperature, chemical potential, and the magnetic field; we study how the electric susceptibility of the strongly magnetized plasma is charged with temperature and density. In the same manner we study the dependence of the Debye mass with density. Then we investigated the phenomenon of magnetic catalysis of chiral symmetry breaking for a dense medium. We found that there exist a critical value of the chemical potential ...