Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Abers E S and Lee B W 1973Phys. Rep. C9 1
Amati D and Testa M 1974Phys. Lett. B48 227
Bjorken J D 1963Ann. Phys. 24 174
Bjorken J D and Drell S D 1965Relativistic quantum fields (New York: McGraw Hill)
Bogoliubov N N and Shirkov D V 1959Introduction to the theory of quantised fields (New York: Intersci.)
Dirac P A M 1950Can. J. Math. 2 129
Eguchi T 1976Phys. Rev. D14 2755
Gross D J and Neveu A 1974Phys. Rev. D10 3235
Hanson A J and Regge T 1974Ann. Phys. 87 498
Kikkawa K 1976Prog. Theor. Phys. 56 947
Lurie D and McFarlane A J 1964Phys. Rev. B136 816
Lurie D 1968Particles and fields (New York: Intersci. Pub.)
Nambu Y and Jona-Lasinio G 1961Phys. Rev. 122 345;124 246
Rajasekaran G and Srinivasan V 1977Pramana 9 239
Rajasekaran G and Srinivasan V 1978Pramana 10 33
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rajaraman, R. On the alleged equivalence of certain field theories. Pramana - J Phys 11, 491–506 (1978). https://doi.org/10.1007/BF02848170
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02848170