On the energymomentum tensor in Moyal space
We study the properties of the energymomentum tensor of gauge fields coupled to matter in noncommutative (Moyal) space. In general, the noncommutativity affects the usual conservation law of the tensor as well as its transformation properties (gauge covariance instead of gauge invariance). It is known that the conservation of the energymomentum tensor can be achieved by a redefinition involving another starproduct. Furthermore, for a pure gauge theory it is always possible to define a gauge invariant energymomentum tensor by means of a Wilson line. We show that the latter two procedures are incompatible with each other if couplings of gauge fields to matter fields (scalars or fermions) are considered: The gauge invariant tensor (constructed via Wilson line) does not allow for a redefinition assuring its conservation, and viceversa the introduction of another starproduct does not allow for gauge invariance by means of a Wilson line.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[1]}
 Vienna Univ. of Technology (Austria). Inst. of Theoretical Physics
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theory Division
 Inst. de Physique Nucleaire de Lyon (IPNL), Villeurbanne (France)
 Publication Date:
 Report Number(s):
 LAUR1521030
Journal ID: ISSN 14346044; PII: 3492
 Grant/Contract Number:
 AC5206NA25396
 Type:
 Accepted Manuscript
 Journal Name:
 European Physical Journal. C, Particles and Fields
 Additional Journal Information:
 Journal Volume: 75; Journal Issue: 6; Journal ID: ISSN 14346044
 Publisher:
 Springer
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
 OSTI Identifier:
 1221372
Balasin, Herbert, Blaschke, Daniel N., Gieres, François, and Schweda, Manfred. On the energymomentum tensor in Moyal space. United States: N. p.,
Web. doi:10.1140/epjc/s1005201534928.
Balasin, Herbert, Blaschke, Daniel N., Gieres, François, & Schweda, Manfred. On the energymomentum tensor in Moyal space. United States. doi:10.1140/epjc/s1005201534928.
Balasin, Herbert, Blaschke, Daniel N., Gieres, François, and Schweda, Manfred. 2015.
"On the energymomentum tensor in Moyal space". United States.
doi:10.1140/epjc/s1005201534928. https://www.osti.gov/servlets/purl/1221372.
@article{osti_1221372,
title = {On the energymomentum tensor in Moyal space},
author = {Balasin, Herbert and Blaschke, Daniel N. and Gieres, François and Schweda, Manfred},
abstractNote = {We study the properties of the energymomentum tensor of gauge fields coupled to matter in noncommutative (Moyal) space. In general, the noncommutativity affects the usual conservation law of the tensor as well as its transformation properties (gauge covariance instead of gauge invariance). It is known that the conservation of the energymomentum tensor can be achieved by a redefinition involving another starproduct. Furthermore, for a pure gauge theory it is always possible to define a gauge invariant energymomentum tensor by means of a Wilson line. We show that the latter two procedures are incompatible with each other if couplings of gauge fields to matter fields (scalars or fermions) are considered: The gauge invariant tensor (constructed via Wilson line) does not allow for a redefinition assuring its conservation, and viceversa the introduction of another starproduct does not allow for gauge invariance by means of a Wilson line.},
doi = {10.1140/epjc/s1005201534928},
journal = {European Physical Journal. C, Particles and Fields},
number = 6,
volume = 75,
place = {United States},
year = {2015},
month = {6}
}