Effects of breakage of mirror symmetry on Lagrangian response function

Abstract

We investigate the effects of the breakage of mirror symmetry on the Lagrangian response function through the Lagrangian renormalized approximation. For the conventional Lagrangian response function, the non-mirror-symmetric part of the Lagrangian response function must be zero. Furthermore, the mirror-symmetric part is not affected by the breakage of mirror symmetry. For the alternative Lagrangian response function, the effects of the breakage of mirror symmetry explicitly remain. Under the scale-similar spectra and time scale, however, we show that the effects of the breakage of mirror symmetry vanish.