A New Estimate of the Mass of the Gravitational Scalar Field for Dark Energy

  • Yasunori FujiiEmail author
Part of the Fundamental Theories of Physics book series (FTPH, volume 183)


A new estimate of the mass of the pseudo dilaton is offered by following the fundamental nature that a massless Nambu-Goldstone boson, called a dilaton, in the Einstein frame acquires a nonzero mass through the loop effects which occur with the Higgs field in the relativistic quantum field theory as described by poles of D, spacetime dimensionality off the physical value \(D=4\). Naturally the technique of dimensional regularization is fully used to show this pole structure to be suppressed to be finite by what is called a Classical-Quantum-Interplay, to improve our previous attempt. Basically the same analysis is extended to derive also the coupling of a pseudo dilaton to two photons.


Dark Energy Dimensional Regularization Higgs Field Jordan Frame Dirac Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



The author expresses his sincere thanks to K. Homma, H. Itoyama, C.S. Lim, K. Maeda, T. Tada and T. Yoneya for many useful discussions.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Advanced Research Institute for Science and EngineeringWaseda University, OkuboShinjuku-ku, TokyoJapan

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