HENAN NORMAL UNIV,DEPT PHYS,XINGXIANG 453002,PEOPLES R CHINA
; ACAD SINICA,INST HIGH ENERGY PHYS,BEIJING 100039,PEOPLES R CHINA
The variational cumulant expansion is extended to d-dimensional U(1) gauge theory with radially active Higgs fields in the fundamental representation. The phase structures are given for d = 3 and d = 4 cases. A comparison with Monte Carlo and mean field results is also presented.