Nonuniqueness of the $\lambda {\Phi }^4$-vacuum

Ralf Schützhold, Ralf Kuhn, Michael Meyer-Hermann +2

We prove that the massless neutral $\lambda {\Phi }^4$-theory does not possess a unique vacuum. Based on the Wightman axioms the non-existence of a state which preserves Poincar{é} and scale in…