The Groenewold-Moyal Plane and its Quantum Physics

Journal Article · Tue Dec 15 04:00:00 EST 2009 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3284382· OSTI ID:21371373

Balachandran, A P ^[1]; Padmanabhan, Pramod ^[1]

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1. Department of Physics, Syracuse University, Syracuse, NY 13244-1130 (United States)

Quantum theories constructed on the noncommutative spacetime called the Groenewold-Moyal(GM) plane exhibit many interesting properties such as causality violation, Lorentz and CPT non-invariance and twisted statistics. Such violations lead to many striking features that may be tested experimentally. Thus these theories predict Pauli-forbidden transitions due to twisted statistics, anisotropies and acausal effects in the cosmic microwave background radiation in correlations of observables and Lorentz and CPT violations in scattering amplitudes. Such features of quantum physics on the GM plane are surveyed in this review.

• OSTI ID: 21371373
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1196; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANISOTROPY
CAUSALITY
COMMUTATION RELATIONS
CORRELATIONS
CPT THEOREM
ELECTROMAGNETIC RADIATION
ENERGY-LEVEL TRANSITIONS
FIELD THEORIES
FORBIDDEN TRANSITIONS
FOURIER ANALYSIS
INVARIANCE PRINCIPLES
LORENTZ INVARIANCE
MECHANICS
MICROWAVE RADIATION
QUANTUM FIELD THEORY
QUANTUM GRAVITY
QUANTUM MECHANICS
RADIATIONS
RELICT RADIATION
SCATTERING AMPLITUDES
SPACE-TIME
UNIFIED-FIELD THEORIES