Group theory and kink stability equations
Abstract
Starting from Schrödinger equations with SU(2) grouptheoretic potentials, we consider a general family of kinks labeled by two (half)integers ( l, n) with ¦ n¦≤ l. A particular choice of n=0, l= L ( L positive integer) leads to a general Lfamily, where L=1 corresponds to sineGordon theory, while L=2 represents the ( λφ ^{4})_{1+1} model. The ( λφ ^{6})_{1+1} model can also be recovered with l=3/2, n=1/2, a particular case of theories labeled by l and n such that ln=2 which possess simple kink solutions. We also discuss oneloop order corrections to the kink masses in supersymmetric versions of the Lfamily. As a byproduct, we obtain the SUSY renormalization of the socalled γ parameter in sineGordon theory.
 Publication:

International Journal of Theoretical Physics
 Pub Date:
 August 1991
 DOI:
 10.1007/BF00671494
 Bibcode:
 1991IJTP...30.1163C