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A disformal coupling between two scalar fields is considered in the context of cosmological inflation.
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D. Bettoni and M. Zumalacárregui, Kinetic mixing in scalar-tensor theories of gravity
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H. Y. Ip, J. Sakstein, and F. Schmidt, Solar System Constraints on Disformal Gravity Theories
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J. Martin, C. Ringeval, and V. Vennin, Encyclopædia Inflationaris
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