skip to main content

DOE PAGESDOE PAGES

Title: On the energy-momentum tensor in Moyal space

We study the properties of the energy-momentum tensor of gauge fields coupled to matter in non-commutative (Moyal) space. In general, the non-commutativity 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 energy-momentum 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 energy-momentum 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 vice-versa the introduction of another star-product does not allow for gauge invariance by means of a Wilson line.
Authors:
 [1] ;  [2] ;  [3] ;  [1]
  1. Vienna Univ. of Technology (Austria). Inst. of Theoretical Physics
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theory Division
  3. Inst. de Physique Nucleaire de Lyon (IPNL), Villeurbanne (France)
Publication Date:
OSTI Identifier:
1221372
Report Number(s):
LA-UR--15-21030
Journal ID: ISSN 1434-6044; PII: 3492
Grant/Contract Number:
AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Volume: 75; Journal Issue: 6; Journal ID: ISSN 1434-6044
Publisher:
Springer
Research Org:
Los Alamos National Laboratory (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