The Experts below are selected from a list of 237 Experts worldwide ranked by ideXlab platform
M. Schweda - One of the best experts on this subject based on the ideXlab platform.
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The energy–Momentum Tensor(s) in classical gauge theories
Nuclear Physics B, 2016Co-Authors: D.n. Blaschke, F. Gieres, M. Reboud, M. SchwedaAbstract: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. The relationship with the Einstein–Hilbert Tensor following from the coupling to a gravitational field is also discussed.
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On the energy-Momentum Tensor in Moyal space
The European Physical Journal C, 2015Co-Authors: H. Balasin, D.n. Blaschke, F. Gieres, M. SchwedaAbstract: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 star-product. 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.
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On the energy-Momentum Tensor in Moyal space
European Physical Journal C: Particles and Fields, 2015Co-Authors: H. Balasin, D.n. Blaschke, F. Gieres, M. SchwedaAbstract:After reviewing the known results for the definition and properties of the energy-Momentum Tensor(s) in Minkowski 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 star product. Furthermore, for a pure gauge theory it is always possible to define a gauge invariant energy-Momentum Tensor by means of a gauge invariant 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.
D.n. Blaschke - One of the best experts on this subject based on the ideXlab platform.
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The energy–Momentum Tensor(s) in classical gauge theories
Nuclear Physics B, 2016Co-Authors: D.n. Blaschke, F. Gieres, M. Reboud, M. SchwedaAbstract: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. The relationship with the Einstein–Hilbert Tensor following from the coupling to a gravitational field is also discussed.
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On the energy-Momentum Tensor in Moyal space
The European Physical Journal C, 2015Co-Authors: H. Balasin, D.n. Blaschke, F. Gieres, M. SchwedaAbstract: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 star-product. 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.
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On the energy-Momentum Tensor in Moyal space
European Physical Journal C: Particles and Fields, 2015Co-Authors: H. Balasin, D.n. Blaschke, F. Gieres, M. SchwedaAbstract:After reviewing the known results for the definition and properties of the energy-Momentum Tensor(s) in Minkowski 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 star product. Furthermore, for a pure gauge theory it is always possible to define a gauge invariant energy-Momentum Tensor by means of a gauge invariant 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.
F. Gieres - One of the best experts on this subject based on the ideXlab platform.
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The energy–Momentum Tensor(s) in classical gauge theories
Nuclear Physics B, 2016Co-Authors: D.n. Blaschke, F. Gieres, M. Reboud, M. SchwedaAbstract: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. The relationship with the Einstein–Hilbert Tensor following from the coupling to a gravitational field is also discussed.
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On the energy-Momentum Tensor in Moyal space
The European Physical Journal C, 2015Co-Authors: H. Balasin, D.n. Blaschke, F. Gieres, M. SchwedaAbstract: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 star-product. 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.
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On the energy-Momentum Tensor in Moyal space
European Physical Journal C: Particles and Fields, 2015Co-Authors: H. Balasin, D.n. Blaschke, F. Gieres, M. SchwedaAbstract:After reviewing the known results for the definition and properties of the energy-Momentum Tensor(s) in Minkowski 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 star product. Furthermore, for a pure gauge theory it is always possible to define a gauge invariant energy-Momentum Tensor by means of a gauge invariant 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.
H. Balasin - One of the best experts on this subject based on the ideXlab platform.
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On the energy-Momentum Tensor in Moyal space
The European Physical Journal C, 2015Co-Authors: H. Balasin, D.n. Blaschke, F. Gieres, M. SchwedaAbstract: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 star-product. 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.
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On the energy-Momentum Tensor in Moyal space
European Physical Journal C: Particles and Fields, 2015Co-Authors: H. Balasin, D.n. Blaschke, F. Gieres, M. SchwedaAbstract:After reviewing the known results for the definition and properties of the energy-Momentum Tensor(s) in Minkowski 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 star product. Furthermore, for a pure gauge theory it is always possible to define a gauge invariant energy-Momentum Tensor by means of a gauge invariant 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.
Katsutaro Shimizu - One of the best experts on this subject based on the ideXlab platform.
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Proposal for the proper gravitational energy-Momentum Tensor
Modern Physics Letters A, 2016Co-Authors: Katsutaro ShimizuAbstract:We propose a gravitational energy-Momentum Tensor of the general relativity obtained using Noethers theorem. It transforms as a Tensor under general coordinate transformations. One of the two indices of the gravitational energy-Momentum Tensor labels a local Lorentz frame that satisfies the energy-Momentum conservation law. The energies for a gravitational wave and a Friedmann-Lemaitre--Robertson--Walker universe are calculated as examples.
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A Proposal of Proper Gravitational Energy Momentum Tensor
arXiv: General Relativity and Quantum Cosmology, 2016Co-Authors: Katsutaro ShimizuAbstract:We propose a gravitational energy Momentum Tensor of the general relativity by using Noether theorem. It changes as an Tensor under the general coordinate transformations. One of the two indices of the gravitational energy Momentum Tensor is a local Lorentz frame to satisfy an energy Momentum conservation law. The energies of a gravitational wave, Schwarzschild black hole and Friedman-Lemertre-Robertoson-Walker universe are calculated as examples. The gravitational energy of Schwarzschild black hole exists only out of a horizon. Its amount is -M.
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Construction of energy-Momentum Tensor of gravitation
International Journal of Geometric Methods in Modern Physics, 2016Co-Authors: Kazuharu Bamba, Katsutaro ShimizuAbstract:We construct the gravitational energy-Momentum Tensor in general relativity through the Noether theorem. In particular, we explicitly demonstrate that the constructed quantity can vary as a Tensor under the general coordinate transformation. Furthermore, we verify that the energy-Momentum conservation is satisfied because one of the two indices of the energy-Momentum Tensor should be in the local Lorentz frame. It is also shown that the gravitational energy and the matter one cancel out in certain space-times.