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The effect of nonlocal confining kernels on magnetic chiral condensates

R. Gonzalez Felipe·G. M. Marques·J. E. Ribeiro
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Abstract

The physics of spontaneous chiral symmetry breaking in the case of the simultaneous presence of a magnetic field and a fermionic quartic interaction is discussed for both local and nonlocal kernels in 2+1 and 3+1 dimensions. The approach is based on the use of Valatin-Bogoliubov canonical transformations, which allow, in the absence of fermionic quartic terms, to completely diagonalize the Hamiltonian and construct the vacuum state.

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R. Gonzalez Felipe, G. M. Marques, J. E. Ribeiro. 2006-08-08. The effect of nonlocal confining kernels on magnetic chiral condensates. https://arxiv.org/abs/hep-th/0307290

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