scholarly journals THE ENERGY–MOMENTUM TENSOR IN NONCOMMUTATIVE GAUGE FIELD MODELS

2004 ◽  
Vol 19 (32) ◽  
pp. 5615-5624 ◽  
Author(s):  
J. M. GRIMSTRUP ◽  
B. KLOIBÖCK ◽  
L. POPP ◽  
M. SCHWEDA ◽  
M. WICKENHAUSER ◽  
...  
Keyword(s):  
Gauge Field ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Gauge Field Theories ◽  
Field Theories ◽  
Gauge Invariant ◽  
Stress Tensors

We discuss the different possibilities of constructing the various energy–momentum tensors for noncommutative gauge field models. We use Jackiw's method in order to get symmetric and gauge invariant stress tensors — at least for commutative gauge field theories. The noncommutative counterparts are analyzed with the same methods. The issues for the noncommutative cases are worked out.

The energy-momentum tensor in scalar and gauge field theories

1974 ◽  
Vol 87 (2) ◽  
pp. 354-374 ◽  
Author(s):  
Daniel Z Freedman ◽  
Erick J Weinberg
Keyword(s):  
Gauge Field ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Gauge Field Theories ◽  
Field Theories

On the energy-momentum tensor in gauge field theories

1974 ◽  
Vol 87 (1) ◽  
pp. 95-125 ◽  
Author(s):  
Daniel Z Freedman ◽  
Ivan J Muzinich ◽  
Erick J Weinberg
Keyword(s):  
Gauge Field ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Gauge Field Theories ◽  
Field Theories

Field theories with high derivatives

1948 ◽  
Vol 44 (1) ◽  
pp. 76-86 ◽  
Author(s):  
T. S. Chang
Keyword(s):  
Energy Momentum Tensor ◽  
Equations Of Motion ◽  
Hamiltonian Formulation ◽  
Functional Derivative ◽  
Momentum Tensor ◽  
Field Theories ◽  
Field Equations ◽  
Gauge Invariant ◽  
Image Position ◽  
Derivatives Of

The relativistic field theories of elementary particles are extended to cases where the field equations are derived from Lagrangians containing all derivatives of the field quantities. Expressions for the current, the energy-momentum tensor, the angular-momentum tensor, and the symmetrized energy-momentum tensor are given. When the field interacts with an electromagnetic field, we introduce a subtraction procedure, by which all the above expressions are made gauge-invariant. The Hamiltonian formulation of the equations of motion in a gauge-invariant form is also given.After considering the Lagrangian L as a scalar in a general relativity transformation and thus a function of gμν and their derivatives, the functional derivative ofwith respect to gμν (x) at a point where the space time is flat is worked out. It is shown that this differs from the symmetrized energy-momentum tensor given in the above sections by a term which vanishes when certain operators Sij are antisymmetrical or when the Lagrangian contains the first derivatives of the field quantities only and whose divergence to either μ or ν vanishes.

scholarly journals HOW TO TREAT γ5

1998 ◽  
Vol 13 (17) ◽  
pp. 2991-3050 ◽  
Author(s):  
HUNG CHENG ◽  
S. P. LI
Keyword(s):  
Symmetry Breaking ◽  
Vector Meson ◽  
Spontaneous Symmetry Breaking ◽  
Gauge Field ◽  
Dimensional Regularization ◽  
Gauge Field Theories ◽  
Field Theories ◽  
Chiral Fermion ◽  
Gauge Invariant ◽  
The Past

In the past two decades, Dyson's formalism of renormalization has been mostly superceded by dimensional regularization, particularly in the treatment of quantum gauge field theories with spontaneous symmetry breaking or those with chiral fermions. In this paper, we shall carry out explicitly Dyson's subtraction program, making it applicable to such field theories. In particular, we show with the example of the Abelian–Higgs theory how to handle amplitudes of chiral fermions. We show that these amplitudes which involve the γ5 matrix can be calculated in an unambiguous and gauge invariant way. This is done by establishing the subtraction conditions for the propagator of a chiral fermion as well as those for the VVV amplitude, when V denotes the vector meson. The renormalized constants are chosen to satisfy the Ward–Takahashi identities. As a demonstration, we calculate the next-lowest order correction of the anomaly in the Abelian–Higgs model and find that it vanishes.

BLOW-UP ANALYSIS FOR LIOUVILLE TYPE EQUATION IN SELF-DUAL GAUGE FIELD THEORIES

2005 ◽  
Vol 07 (02) ◽  
pp. 177-205 ◽  
Author(s):  
HIROSHI OHTSUKA ◽  
TAKASHI SUZUKI
Keyword(s):  
Gauge Field ◽  
Blow Up ◽  
Type Equation ◽  
Singular Part ◽  
Gauge Field Theories ◽  
Field Theories ◽  
Liouville Type ◽  
Blow Up Analysis ◽  
The Green Function ◽  
Dirac Measures

We study the asymptotic behavior of the solution sequence of Liouville type equations observed in various self-dual gauge field theories. First, we show that such a sequence converges to a measure with a singular part that consists of Dirac measures if it is not compact in W1,2. Then, under an additional condition, the singular limit is specified by the method of symmetrization of the Green function.

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