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The energy-momentum tensor(s) in classical gauge theories

Journal Article · · Nuclear Physics. B
 [1];  [2];  [3];  [4]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. de Lyon, Univ. Claude Bernard Lyon 1 and CNRS/IN2P3, Villeurbanne (France)
  3. Univ. de Lyon, Univ. Claude Bernard Lyon 1 and CNRS/IN2P3, Villeurbanne (France); Ecole Normale Superieure de Lyon (France)
  4. Vienna Univ. of Technology, Vienna (Austria)
We give an introduction to, and review of, the energy-momentum tensors in classical gauge field theories in Minkowski space, and to some extent also in curved space-time. For the canonical energy-momentum tensor of non-Abelian gauge fields and of matter fields coupled to such fields, we present a new and simple improvement procedure based on gauge invariance for constructing a gauge invariant, symmetric energy-momentum tensor. In conclusion, the relationship with the Einstein-Hilbert tensor following from the coupling to a gravitational field is also discussed.
Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1324568
Alternate ID(s):
OSTI ID: 22618105
OSTI ID: 1375166
Report Number(s):
LA-UR--15-25177; LA-UR--16-23055
Journal Information:
Nuclear Physics. B, Journal Name: Nuclear Physics. B Vol. 912; ISSN 0550-3213
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

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Noether and Hilbert (metric) energy-momentum tensors are not, in general, equivalent text January 2020
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Many-particle quantum hydrodynamics: Exact equations and pressure tensors journal January 2018
Einstein-Cartan wormhole solutions journal March 2017
Dynamic wormhole solutions in Einstein-Cartan gravity journal December 2017
Forces inside hadrons: Pressure, surface tension, mechanical radius, and all that journal September 2018
Forces inside hadrons: pressure, surface tension, mechanical radius, and all that text January 2018

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