Order parameters with higher dimensionful composite fields

Abstract

We discuss the possibility of the spontaneous symmetry breaking characterized by order parameters with higher dimensionful composite fields. By analyzing general Ginzburg-Landau potential for a complex scalar field ϕ=ϕ_1 + i ϕ_2 with O(2) symmetry, we demonstrate that a phase characterized by < ϕ_1^2 - ϕ_2^2 > \neq 0 with < ϕ_1 >=< ϕ_2 >=0 is realized in a certain parameter region. To clarify the driving force to favor this phase, we study the O(2) ϕ^6 theory in three dimensions.

4 pages, Latex, 3 ps-figures

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