New Dynamical Degrees of Freedom from Invertible Transformations

Abstract

We show that invertible transformations of dynamical variables can change the number of dynamical degrees of freedom. Moreover, even in cases when the number of dynamical degrees of freedom remains unchanged, the resulting dynamics can be essentially different from the one of the system prior to transformation. After giving concrete examples in point particle cases, we discuss changes in dynamics due to invertible disformal transformations of the metric in gravitational theories

arXiv comment21 pages, plus references, plus 2 figures, added a discussion on spontaneous symmetry breaking

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Cited by in corpus (4)

• Generalisation of Conformal-Disformal Transformations of the Metric in Scalar-Tensor Theories
• On the degrees of freedom count on singular phase space submanifolds
• Collapsing scenarios of K-essence generalized Vaidya spacetime under $f(\bar{R},\bar{T})$ gravity
• Jackiw-Teitelboim Gravity Generates Horndeski via Disformal Transformations