Field theory in noncommutative Minkowski superspace

Journal Article · Sat Jan 15 04:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.025019· OSTI ID:20705876

Nazaryan, Vahagn; Carlson, Carl E ^[1]

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1. Particle Theory Group, Department of Physics, College of William and Mary, Williamsburg, Virginia 23187-8795 (United States)

There is much discussion of scenarios where the space-time coordinates x{sup {mu}} are noncommutative. The discussion has been extended to include nontrivial anticommutation relations among spinor coordinates in superspace. A number of authors have studied field theoretical consequences of the deformation of N=1 superspace arising from nonanticommutativity of coordinates {theta}, while leaving {theta}'s anticommuting. This is possible in Euclidean superspace only. In this note we present a way to extend the discussion by making both {theta} and {theta} coordinates nonanticommuting in Minkowski superspace. We present a consistent algebra for the supercoordinates, find a star-product, and give the Wess-Zumino Lagrangian L{sub WZ} within our model. It has two extra terms due to non(anti)commutativity. The Lagrangian in Minkowski superspace is always manifestly Hermitian and for L{sub WZ} it preserves Lorentz invariance.

• OSTI ID: 20705876
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
COMMUTATION RELATIONS
CONSERVATION LAWS
COORDINATES
DEFORMATION
EUCLIDEAN SPACE
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
LORENTZ INVARIANCE
SPACE-TIME
SUPERSYMMETRY