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Path Integral Quantization of Self Interacting Scalar Field with Higher Derivatives

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arxiv 0709.4522 v2 pith:GNXHXL4P submitted 2007-09-28 hep-th

classification hep-th
keywords derivativesfieldhigherintegralpathquantizationscalarcanonical
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Scalar field systems containing higher derivatives are studied and quantized by Hamiltonian path integral formalism. A new point to previous quantization methods is that field functions and their derivatives with time are considered as independent canonical variables. Consequently, generating functional, explicit expressions of propagators and Feynman diagrams in $\phi^3$ theory are found

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