Spontaneous Mass Generation in ConformalInvariant φ^{4} Theory
Abstract
The effective potential of the conformalinvariant massless φ^{4} theory in which the invariance is nonlinearly realized is calculated by means of nonpolynomial Lagrangian techniques. It is shown that the scaling law (Ward identity of dilatation current) which is compatible with the perturbation expansion is obtained only when a special form of the point transformations is applied to the fields. It gives a welldefined expression to the tadpole graph. The spontaneous mass is given by the potential in the case when the coupling constant is small and negative.
 Publication:

Progress of Theoretical Physics
 Pub Date:
 November 1980
 DOI:
 10.1143/PTP.64.1800
 Bibcode:
 1980PThPh..64.1800M