Journal of Physical Studies 6(3), 289–297 (2002)
DOI: https://doi.org/10.30970/jps.06.289

REDUCED LAGRANGIANS FOR FIELD THEORIES WITH NON-LINEAR COUPLING

V. Ye. Shpytko^{1*}, J. W. Darewych²
¹Institute for Condensed Matter Physics of NAS of Ukraine,
1 Svientsitskii Str., Lviv, UA-79011, Ukraine
²Department of Physics and Astronomy, York University,
Toronto, Ontario, M3J 1P3, Canada

We consider a reformulation of various models in QFT in which field equations are used to express the mediating fields in terms of matter fields. Scalar QED and SU(2) gauge fields are considered in particular. We show that for these cases the interaction term of the reformulated Lagrangian can be expressed in a series of terms, which contain matter fields and the Green functions of the mediating fields only.

PACS number(s): 03.50.-z, 03.50.Kk, 11.10.Lm, 11.15.-q