Perturbative Construction of Coherent States

Abstract

The perturbative consistency of coherent states within interacting quantum field theory requires them to be altered beyond the simple non-squeezed form. Building on this point, we perform explicit construction of consistent squeezed coherent states, required by the finiteness of physical quantities at the one-loop order. Extending this analysis to two-loops, we demonstrate that a non-Gaussian alteration of squeezed coherent states is necessary. The modifications of the coherent state we propose are perturbative in $\hslash$ and may be an indication that coherence must be viewed through a nonlinearly redefined, background-dependent, degree of freedom.

23+1 pages