Path integral quantization of scalar fluctuations above a kink

Path integral quantization of parametrised field theory

Free scalar field theory on a flat spacetime can be cast into a generally covariant form known as parametrised field theory in which the action is a functional of the scalar field as well as the embedding variables which describe arbitrary , in general curved, foliations of the flat spacetime. We construct the path integral quantization of parametrised field theory in order to analyse issues at...

Worldsheet Covariant Path Integral Quantization of Strings

We discuss a covariant functional integral approach to the quantization of the bosonic string. In contrast to approaches relying on non-covariant operator regularizations, interesting operators here are true tensor objects with classical transformation laws, even on target spaces where the theory has a Weyl anomaly. Since no implicit noncovariant gauge choices are involved in the definition of ...

Path Integral Quantization of Cosmological Perturbations

We derive the first order canonical formulation of cosmological perturbation theory in a Universe filled by a few scalar fields. This theory is quantized via well-defined Hamiltonian path integral. The propagator which describes the evolution of the initial (for instance, vacuum) state, is calculated.

Kink-Based Path Integral Calculations of Atoms He-Ne

Path Integral Quantization of Self Interacting Scalar Field with Higher Derivatives

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