The effect of nonlocal confining kernels on magnetic chiral condensates

摘要

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. (c) 2006 Elsevier B.V. All rights reserved.