Example of a Poincar{acute e} anomaly in relativistic quantum mechanics

Journal Article · Sun Dec 31 23:00:00 EST 1995 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.53.960· OSTI ID:283645

Lenz, S ^[1]; Schreiber, B ^[2]

---

1. Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520-8120 (United States)
2. Massachusetts Institute of Technology, Center for Theoretical Physics, Cambridge, Massachusetts 02139 (United States)

The Poincar{acute e} algebra of classical electrodynamics in one spatial dimension is studied using light-cone coordinates and ordinary Minkowski coordinates. We show that it is possible to quantize the theory by a canonical quantization procedure in a Poincar{acute e}-invariant manner on the light cone. We also show that this is not possible when using ordinary coordinates. The physical reason for this anomaly is analyzed. {copyright} {ital 1996 The American Physical Society.}

• DOE Contract Number: FC02-94ER40818; FG02-91ER40608
• OSTI ID: 283645
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 2 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANOMALOUS PROPERTIES
ELECTRODYNAMICS
LIGHT CONE
MINKOWSKI SPACE
POINCARE GROUPS
QUANTIZATION
QUANTUM MECHANICS
RELATIVISTIC RANGE