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arXiv · 1805.06203

Influence of vector interactions on the favored shape of inhomogeneous chiral condensates

Abstract

We update a previous study of the effects of vector interactions in the Nambu--Jona-Lasinio model on the formation of inhomogeneous chiral symmetry breaking condensates. In particular, by properly considering a spatially modulated vector mean-field associated with the quark number density of the system we show that, as the value of the vector coupling increases, a chiral density wave modulation can become thermodynamically favored over a real sinusoidal modulation. This behavior is found both via a Ginzburg-Landau analysis close to the Lifshitz point, as well as with a full numerical diagonalization of the mean-field Dirac Hamiltonian at vanishing temperature.

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Stefano Carignano, Marco Schramm, Michael Buballa. 2018-05-16. Influence of vector interactions on the favored shape of inhomogeneous chiral condensates. https://doi.org/10.1103/physrevd.98.014033

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