Pauli–Zeldovich cancellation of the vacuum energy divergences, auxiliary fields and supersymmetry

Kamenshchik, Alexander Yu. (Aff1, 0000 0004 1757 1758, Dipartimento di Fisica e Astronomia, Università di Bologna and INFN, via Irnerio 46, 40126, Bologna, Italy) (Aff2, 0000 0001 2299 7671, L. D. Landau Institute for Theoretical Physics, 119334, Moscow, Russia) ; Starobinsky, Alexei A. (Aff2, 0000 0001 2299 7671, L. D. Landau Institute for Theoretical Physics, 119334, Moscow, Russia) (Aff3, 0000 0004 0578 2005, National Research University Higher School of Economics, 101000, Moscow, Russia) ; Tronconi, Alessandro (Aff1, 0000 0004 1757 1758, Dipartimento di Fisica e Astronomia, Università di Bologna and INFN, via Irnerio 46, 40126, Bologna, Italy) ; Vardanyan, Tereza (Aff1, 0000 0004 1757 1758, Dipartimento di Fisica e Astronomia, Università di Bologna and INFN, via Irnerio 46, 40126, Bologna, Italy) ; Venturi, Giovanni (Aff1, 0000 0004 1757 1758, Dipartimento di Fisica e Astronomia, Università di Bologna and INFN, via Irnerio 46, 40126, Bologna, Italy)

10 March 2018

Abstract: We have considered the Pauli–Zeldovich mechanism for the cancellation of the ultraviolet divergences in vacuum energy. This mechanism arises because bosons and fermions give contributions of the opposite signs. In contrast with the preceding papers devoted to this topic wherein mainly free fields were studied, here we have taken their interactions into account to the lowest order of perturbation theory. We have constructed some simple toy models having particles with spin 0 and spin 1 / 2, where masses of the particles are equal while the interactions can be quite non-trivial.


Published in: EPJC 78 (2018) 200
Published by: Springer/Società Italiana di Fisica
DOI: 10.1140/epjc/s10052-018-5703-6
License: CC-BY-3.0



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