6533b85ffe1ef96bd12c12ec

RESEARCH PRODUCT

Ostrogradsky's Hamilton formalism and quantum corrections

Stefan SchererJambul Gegelia

subject

High Energy Physics - TheoryStatistics and ProbabilityPhysicsScalar field theoryFOS: Physical sciencesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsLagrange formalismFormalism (philosophy of mathematics)High Energy Physics - Theory (hep-th)Modeling and SimulationQuantumMathematical PhysicsMathematical physics

description

By means of a simple scalar field theory it is demonstrated that the Lagrange formalism and Ostrogradsky's Hamilton formalism in the presence of higher derivatives, in general, do not lead to the same results. While the two approaches are equivalent at the classical level, differences appear due to the quantum corrections.

https://doi.org/10.1088/1751-8113/43/34/345406