scholarly journals Gauge-invariant renormalization scheme in QCD: Application to fermion bilinears and the energy-momentum tensor

2021 ◽  
Vol 103 (9) ◽  
Author(s):  
M. Costa ◽  
I. Karpasitis ◽  
T. Pafitis ◽  
G. Panagopoulos ◽  
H. Panagopoulos ◽  
...  
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Renormalization Scheme ◽  
Gauge Invariant

Gauge-invariant energy-momentum tensor for massive QED

1986 ◽  
Vol 33 (4) ◽  
pp. 1162-1165 ◽  
Author(s):  
Hans Georg Embacher ◽  
Gebhard Grübl ◽  
Rainer Patek
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Gauge Invariant

scholarly journals ON THE NATURAL GAUGE FIELDS OF MANIFOLDS

2000 ◽  
Vol 15 (32) ◽  
pp. 1991-2005 ◽  
Author(s):  
A. B. PESTOV ◽  
BIJAN SAHA
Keyword(s):  
Displacement Field ◽  
Energy Momentum Tensor ◽  
Linear Connection ◽  
Momentum Tensor ◽  
Gauge Fields ◽  
Spherically Symmetric ◽  
Time Inversion ◽  
Field Equations ◽  
Gauge Invariant ◽  
Minkowski Space Time

The gauge symmetry inherent in the concept of manifold has been discussed. Within the scope of this symmetry the linear connection or displacement field can be considered as a natural gauge field on the manifold. The gauge-invariant equations for the displacement field have been derived. It has been shown that the energy–momentum tensor of this field conserves and hence the displacement field can be treated as one that transports energy and gravitates. To show the existence of the solutions of the field equations, we have derived the general form of the displacement field in Minkowski space–time which is invariant under rotation and space and time inversion. With this ansatz we found spherically-symmetric solutions of the equations in question.

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.

Helicity decomposition of metric perturbations

2018 ◽  
Author(s):  
Michele Maggiore
Keyword(s):  
Degrees Of Freedom ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Invariant Metric ◽  
Gauge Invariant ◽  
Tensor Perturbations

Decomposition of the perturbations over FRW into scalar, vector and tensor perturbations. Physical and unphysical degrees of freedom. Gauge-invariant metric perturbations, Bardeen variables. Gauge-invariant perturbations of the energy-momentum tensor

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.

THEORY OF GRAVITATIONAL FLUCTUATIONS IN BRANE WORLD MODELS

2002 ◽  
Vol 11 (08) ◽  
pp. 1209-1225 ◽  
Author(s):  
MASSIMO GIOVANNINI
Keyword(s):  
Invariant Theory ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Brane World ◽  
World Model ◽  
Gauge Invariant ◽  
Planck Mass ◽  
Gauge Choice ◽  
General Method ◽  
Metric Fluctuations

A gauge invariant theory of gravitational fluctuations of brane-world model is presented. Without resorting to any specific gauge choice, a general method is presented in order to disentangle the fluctuations of the energy–momentum tensor of the brane from the fluctuations of the metric. The employed procedure is gauge-invariant at every step. As an application of the formalism we address the localization of metric fluctuations on scalar branes breaking spontaneously five-dimensional Poincaré invariance is addressed. Assuming that the four-dimensional Planck mass is finite and that the geometry is regular, it is demonstrated that the vector and scalar fluctuations of the metric are not localized on the brane.

CASIMIR EFFECT FOR THE ROBIN SURFACES IN STATIC ROBERTSON–WALKER SPACE–TIME

2011 ◽  
Vol 20 (02) ◽  
pp. 161-168 ◽  
Author(s):  
MOHAMMAD R. SETARE ◽  
M. DEHGHANI
Keyword(s):  
Scalar Field ◽  
Energy Momentum Tensor ◽  
Casimir Effect ◽  
Vacuum Expectation ◽  
Robin Boundary Condition ◽  
Momentum Tensor ◽  
Space Time ◽  
Conformally Invariant ◽  
Time Space ◽  
Robin Boundary

We investigate the energy–momentum tensor for a massless conformally coupled scalar field in the region between two curved surfaces in k = -1 static Robertson–Walker space–time. We assume that the scalar field satisfies the Robin boundary condition on the surfaces. Robertson–Walker space–time space is conformally related to Rindler space; as a result we can obtain vacuum expectation values of the energy–momentum tensor for a conformally invariant field in Robertson–Walker space–time space from the corresponding Rindler counterpart by the conformal transformation.

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