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Using recently developed quantum SU(2)xU(1) rotor approach, that provides aself-consistent treatment of the antiferromagnetic state we have performedelectronic spectral function calculations for the Hubbard model on the squarelattice. The collective variables for charge and spin are isolated in the formof the space-time fluctuating U(1) phase field and rotating spin quantizationaxis governed by the SU(2) symmetry, respectively. As a result interactingelectrons appear as composite objects consisting of bare fermions with attachedU(1) and SU(2) gauge fields. This allows us to write the fermion Green'sfunction in the space-time domain as the product CP^1 propagator resulting fromthe SU(2) gauge fields, U(1) phase propagator and the pseudo-fermioncorrelation function. As a result the problem of calculating the spectral lineshapes now becomes one of performing the convolution of spin, charge andpseudo-fermion Green's functions. The collective spin and charge fluctuationsare governed by the effective actions that are derived from the Hubbard modelfor any value of the Coulomb interaction. The emergence of a sharp peak in theelectron spectral function in the antiferromagnetic state indicates the decayof the electron into separate spin and charge carrying particle excitations.

Neel Order and Electron Spectral Functions in the Two-Dimensional Hubbard Model: a Spin-Charge Rotating Frame Approach