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Higher Derivatives and Canonical Formalisms
Takao Nakamura, Shinji Hamamoto
Path integral expressions for three canonical formalisms -- Ostrogradski's one, constrained one and generalized one -- of higher-derivative theories are given. For each fomalism we…
Gauge Theory of Massive Tensor Field
Shinji Hamamoto
In order to construct a massive tensor theory with a smooth massless limit, we apply the Batalin-Fradkin algorithm to the ordinary massive tensor theory. By introducing an auxiliar…
A Toy Model Approach to the Canonical Non-perturbative Quantization of the Spatially Flat Robertson-Walker Spacetimes with Cosmological Constant
C. Dariescu, S. Hamamoto, Marina-Aura Dariescu
We present a toy model approach to the canonical non-perturbative quantization of the spatially-flat Robertson-Walker Universes with cosmological constant, based on the fact that s…
Higher Derivatives and Canonical Formalism
Shinji HAMAMOTO
A canonical formalism for higher-derivative theories is presented on the basis of Dirac's method for constrained systems. It is shown that this formalism shares a path integral exp…
Gauging Higher Derivatives
Shinji HAMAMOTO
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.…