Abstract
The simultaneous breaking of conformal and chiral symmetry is investigated within the framework of nonlinear realizations and effective Lagrangians. The explicit introduction of a massless dilaton field, enables conformal invariance to be preserved in Lagrangians for massive matter fields. It is shown that the equation of Callan, Coleman, and Jackiw, , remains valid notwithstanding the introduction of this particle, and also that it is possible to construct Lagrangians which are simultaneously invariant under the chiral and conformal groups. If we introduce a term which explicitly violates both symmetries, then the dilaton acquires a definite (bare) mass which can be expressed in terms of the masses of the chiral bosons —the pion in the case of chiral , the pion and kaon in the case of chiral . The precise form of this mass relation depends upon the type of symmetry-breaking term adopted.
- Received 13 April 1970
DOI:https://doi.org/10.1103/PhysRevD.2.685
©1970 American Physical Society