Nuclear And Particle Physics


, Volume 11, Issue 4, pp 491-506

First online:

On the alleged equivalence of certain field theories

  • R RajaramanAffiliated withCentre for Theoretical Studies, Indian Institute of Science

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We critically examine some recent claims that certain field theories with and without boson kinetic energy terms are equivalent. We point out that the crucial element in these claims is the finiteness or otherwise of the boson wavefunction renormalisation constant. We show that when this constant is finite, the equivalence proof offered in the literature fails in a direct way. When the constant is divergent, the claimed equivalence is only a consequence of improper use of divergent quantities.


Field theory boson wave function renormalisation constant quantum mechanics