TY - JOUR
T1 - Dynamical noncommutativity and noether theorem in twisted φ*4 theory
AU - Aschieri, Paolo
AU - Castellani, Leonardo
AU - Dimitrijević, Marija
N1 - Funding Information:
This work is partially supported by the Italian MUR under contract PRIN-2005023102 “Strings, D-branes and Gauge Theories” and by the European Commission FP6 Programme under contract MRTN-CT-2004-005104 “Constituents, Fundamental Forces and Symmetries of the Universe”.
PY - 2008/7
Y1 - 2008/7
N2 - A *-product is defined via a set of commuting vector fields X a = eaμ(x)∂μ, and used in a φ*4 theory coupled to the ea μ(x) fields. The *-product is dynamical, and the vacuum solution φ = 0, eaμ= δa μ reproduces the usual Moyal product. The action is invariant under rigid translations and Lorentz rotations, and the conserved energy-momentum and angular momentum tensors are explicitly derived.
AB - A *-product is defined via a set of commuting vector fields X a = eaμ(x)∂μ, and used in a φ*4 theory coupled to the ea μ(x) fields. The *-product is dynamical, and the vacuum solution φ = 0, eaμ= δa μ reproduces the usual Moyal product. The action is invariant under rigid translations and Lorentz rotations, and the conserved energy-momentum and angular momentum tensors are explicitly derived.
KW - Deformed field theories
KW - Dynamical noncommutativity
KW - Noether theorem
KW - Quantum geometry
KW - Twisted star products
UR - http://www.scopus.com/inward/record.url?scp=47949131990&partnerID=8YFLogxK
U2 - 10.1007/s11005-008-0247-6
DO - 10.1007/s11005-008-0247-6
M3 - Article
SN - 0377-9017
VL - 85
SP - 39
EP - 53
JO - Letters in Mathematical Physics
JF - Letters in Mathematical Physics
IS - 1
ER -