Gauging Higher Derivatives

Shinji Hamamoto · 1995

The usual prescription for constructing gauge-invariant Lagrangian is generalized to the case where a Lagrangian contains second derivatives of fields as well as first derivatives. Symmetric tensor fields in addition to the usual vector fields are introduced as gauge fields. Covariant derivatives and gauge-field Higher-derivative theories have been investigated in various contexts of physics: higher-derivative terms naturally occur as quantum corrections to lower-derivative theories; nonlocal theories, for example string theories, are considered to be equivalent to higher-derivative theories; gravity theories with R 2 terms are good candidates

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