Spontaneous Breakdown of Conformal Symmetry

Abstract

Let us consider a scalar field φ(x) in a Minkowski space. Suppose that along with a conformally in variant vacuum $\left| 0 \right\rangle$ there exists another vacuum $\left| \Omega \right\rangle$ with a lower symmetry. Let us consider a mean field

$$B\left( x \right) = \left\langle \Omega \right|\varphi \left( x \right)\left| \Omega \right\rangle$$

(1.1)

.