0000000000387692

AUTHOR

Joseph Dito

showing 2 related works from this author

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

1990

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.

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 physicsLetters in Mathematical Physics
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An example of cancellation of infinities in the star-quantization of fields

1993

Within the *-quantization framework, it is shown how to remove some of the divergences occurring in theλo 2 4 -theory by introducing aλ-dependent *-product cohomologically equivalent to the normal *-product.

Complex systemStatistical and Nonlinear PhysicsTopologyRenormalizationsymbols.namesakeTheoretical physicsSingularityHamiltonian formalismRegularization (physics)symbolsQuantum field theoryHamiltonian (quantum mechanics)Mathematical PhysicsMathematicsLetters in Mathematical Physics
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