6533b7dcfe1ef96bd1271d07

RESEARCH PRODUCT

Star-product approach to quantum field theory: The free scalar field

Joseph Dito

subject

Scalar field theoryMathematical analysisSurface integralScalar (mathematics)Line integralScalar theories of gravitationStatistical and Nonlinear PhysicsScalar potentialAstrophysics::Cosmology and Extragalactic AstrophysicsScalar multiplicationAstrophysics::Solar and Stellar AstrophysicsAstrophysics::Earth and Planetary AstrophysicsScalar fieldAstrophysics::Galaxy AstrophysicsMathematical PhysicsMathematicsMathematical physics

description

The star-quantization of the free scalar field is developed by introducing an integral representation of the normal star-product. A formal connection between the Feynman path integral in the holomorphic representation and the star-exponential is established for the interacting scalar fields.

https://doi.org/10.1007/bf00398277