The effect of nonlocal confining kernels on magnetic chiral condensates

Details The effect of nonlocal confining kernels on magnetic chiral condensates The effect of nonlocal confining kernels on magnetic chiral condensates

2003-07-30

arxiv.org/abs/hep-th/0307290v2

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 4 figures, new content and results presented, version to appear in Nucl. Phys. A

Scientific paper

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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