Deformed field theory on kappa space-time

Dimitrijevic, Marija; Jonke, Larisa; Moller, Lutz; Tsouchnika, Efrossini; Wess, Julius; Wohlgenannt, Michael

doi:10.1140/epjc/s2003-01309-y

Deformed field theory on kappa space-time

Marija Dimitrijevic
(
- Munich U. and
- Belgrade U.
)
,
Larisa Jonke
(
- Munich U. and
- Boskovic Inst., Zagreb
)
,
Lutz Moller
(
- Munich U. and
- Munich, Max Planck Inst.
)
,
Efrossini Tsouchnika
(
- Munich U.
)
,
Julius Wess
(
- Munich U. and
- Munich, Max Planck Inst.
)

Jul, 2003

19 pages

Published in:

Eur.Phys.J.C 31 (2003) 129-138

e-Print:

hep-th/0307149 [hep-th]

DOI:

10.1140/epjc/s2003-01309-y

Report number:

LMU-TPW-2003-08,
MPP-2003-29

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Abstract:

A general formalism is developed that allows the construction of a field theory on quantum spaces which are deformations of ordinary spacetime. The symmetry group of spacetime (Poincar\' e group) is replaced by a quantum group. This formalism is demonstrated for the kappa-deformed Poincar\'e algebra and its quantum space. The algebraic setting is mapped to the algebra of functions of commuting variables with a suitable star-product. Fields are elements of this function algebra. The Dirac and Klein-Gordon equation are defined and an action is found from which they can be derived.

Note:

19 pages: changes made in section 4 concerning the definition of field transformations Journal-ref: Eur. Phys. J. C31, 129-138 (2003)

space-time: deformation
quantum group: SO(N)
operator: differential
operator: Dirac
field equations
mathematical methods: variational

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