Quantum Field Dynamics in a Uniform Magnetic Field: Description using Fields in Oblique Phase Space

Details Quantum Field Dynamics in a Uniform Magnetic Field: Description using Fields in Oblique Phase Space Quantum Field Dynamics in a Uniform Magnetic Field: Description using Fields in Oblique Phase Space

2001-10-27

arxiv.org/abs/hep-th/0110249v1

Phys.Rev. D65 (2002) 045009

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, no figures

Scientific paper

10.1103/PhysRevD.65.045009

We present a simple field transformation which changes the field arguments from the ordinary position-space coordinates to the oblique phase-space coordinates that are linear in position and momentum variables. This is useful in studying quantum field dynamics in the presence of external uniform magnetic field: here, the field transformation serves to separate the dynamics within the given Landau level from that between different Landau levels. We apply this formalism to both nonrelativistic and relativistic field theories. In the large external magnetic field our formalism provides an efficient method for constructing the relevant lower-dimensional effective field theories with the field degrees defined only on the lowest Landau level.

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