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Gravitational Frames and Scalar Field Dynamics

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Abstract

Scalar fields describe interesting phenomena such as Higgs bosons, dark matter and dark energy, and are found to be quite common in physical theories. These fields are susceptible to gravitational forces so that being massless is not enough to remain conformal invariant. They should also be connected directly to the scalar curvature. Because of this characteristics, we investigated the structure and interactions of scalar fields under the conformal transformations. We show how to reduce the quadratic quantum contributions in the single scalar field theory. In the multi-scalar field theories, we analyzed interactions in certain limits. We suggest a new method for stabilizing Higgs bosons.

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Acknowledgments

The authors would like to thank D. A. Demir for inspiration of research and useful discussion.

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Correspondence to N. Pirinccioglu.

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Ozaydin, M.T., Pirinccioglu, N. Gravitational Frames and Scalar Field Dynamics. Int J Theor Phys 58, 1836–1844 (2019). https://doi.org/10.1007/s10773-019-04077-9

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