A path integral leading to higher-order Lagrangians

Abstract

We consider a simple modification of standard phase-space path integrals and show that it leads in configuration space to Lagrangians depending also on accelerations.

6 pages

References in corpus (8)

• Quantum mechanics on the noncommutative plane and sphere
• The exotic Galilei group and the "Peierls substitution"
• Galilean-Invariant (2+1)-Dimensional Models with a Chern-Simons-Like Term and D=2 N oncommutative Geometry
• "Peireles Substitution" and Chern-Simons Quantum Mechanics
• Path Integral Formulation of Noncommutative Quantum Mechanics
• Anyon spin and the exotic central extension of the planar Galilei group
• Cosmological Evolution on Self-Tuned Branes and the Cosmological Constant
• Lagrangian versus Quantization

Cited by in corpus (6)

• Hamiltonian Formalism in the Presence of Higher Derivatives
• Hamiltonian analysis for linearly acceleration-dependent Lagrangians
• The geometry of systems of third order differential equations induced by second order Lagrangians
• The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time
• A Lagrangian form of tangent forms
• Comment on ''A path integral leading to higher-order Lagrangians, arXiv:0708.4351 [hep-th]''