Ward identities in gauge theories of gravitation with higher derivatives

1975 ◽  
Vol 12 (6) ◽  
pp. 1829-1831 ◽  
Author(s):  
A. Gavrielides ◽  
T. K. Kuo ◽  
S. Y. Lee
Keyword(s):  
Gauge Theories ◽  
Ward Identities ◽  
Higher Derivatives ◽  
Theories Of Gravitation

scholarly journals THE LAWS OF MOTION IN GAUGE THEORIES OF GRAVITY

2021 ◽  
Vol 1 (38) ◽  
pp. 116-122
Author(s):  
S. Samokhvalov ◽  
A. Hryshchenko
Keyword(s):  
Gravitational Field ◽  
Gauge Theories ◽  
Theory Of Relativity ◽  
Charged Matter ◽  
Research Perspectives ◽  
Higher Derivatives ◽  
Theories Of Gravity ◽  
Laws Of Motion ◽  
Derivatives Of ◽  
Theories Of Gravitation

The general theory of relativity (GR) states that the matter that generates the gravitational field cannot move arbitrarily, it must obey certain equations that follow from the equations of the gravitational field as conditions for their compatibility. In this article we analyze the laws of motion of charged matter in gauge theories of gravitation with higher derivatives of field variables. Object: to consider the laws of motion in gauge theories of gravitation. Task to analyze the laws of motion of charged matter in gauge theories of gravitation with higher derivatives of field variables. Conclusions: it is proved that the equation of an arbitrary gauge field of internal symmetry regardless of the specific type of its Lagrangian can be written both in the form of Einstein's equation and in superpotential form, i.e. as an expression of the total current of gauge charges through the superpotential determined by a specific type of Lagrangian that is, in the form of the Young-Mills equations. So this is a consequence of purely-symmetry theory. Also, a statement is proved in which the constraints on the equations of some fields, which follow from the assumption of the equations of motion for other fields. Research perspectives: nowadays, scientists register gravitational waves and analyze the conditions for their emission, and interest in the problem of motion has been renewed. Note that theories of gravity with higher derivatives of field variables in the Lagrangian of the gravitational field (for example, f(R)-theories) have become very popular in the present. Note that on the basis of the laws of motion of charged matter considered in the article in the gauge theory of gravity, it is possible to successfully further investigate the laws of motion in other theories of gravity, which can be useful in various areas of theoretical and experimental physics.

scholarly journals Finiteness of the two-loop matter contribution to the triple gauge-ghost vertices in N=1 supersymmetric gauge theories regularized by higher derivatives

2021 ◽  
Vol 104 (2) ◽  
Author(s):  
M. D. Kuzmichev ◽  
N. P. Meshcheriakov ◽  
S. V. Novgorodtsev ◽  
I. E. Shirokov ◽  
K. V. Stepanyantz
Keyword(s):  
Gauge Theories ◽  
Supersymmetric Gauge Theories ◽  
Higher Derivatives ◽  
Supersymmetric Gauge

scholarly journals SUPERFIELD FORMULATION OF THE LAGRANGIAN BRST QUANTIZATION METHOD

1995 ◽  
Vol 10 (35) ◽  
pp. 2687-2694 ◽  
Author(s):  
P.M. LAVROV ◽  
P.YU. MOSHIN ◽  
A.A. RESHETNYAK
Keyword(s):  
Gauge Theories ◽  
Brst Quantization ◽  
Brst Symmetry ◽  
Quantization Method ◽  
Ward Identities ◽  
S Matrix ◽  
General Gauge ◽  
Quantization Rules

Lagrangian quantization rules for general gauge theories are proposed on a basis of a superfield formulation of the standard BRST symmetry. Independence of the S-matrix on a choice of the gauge is proved. The Ward identities in terms of superfields are derived.

scholarly journals Higher derivatives and brane-localised kinetic terms in gauge theories on orbifolds

2006 ◽  
Vol 2006 (08) ◽  
pp. 009-009 ◽  
Author(s):  
Dumitru M Ghilencea ◽  
Hyun Min Lee ◽  
Kai Schmidt-Hoberg
Keyword(s):  
Gauge Theories ◽  
Higher Derivatives

Ward identities in gauge theories

1972 ◽  
Vol 10 (2) ◽  
pp. 99-104 ◽  
Author(s):  
A. A. Slavnov
Keyword(s):  
Gauge Theories ◽  
Ward Identities

scholarly journals ON THE STRUCTURE OF QUANTUM GAUGE THEORIES WITH EXTERNAL FIELDS

1998 ◽  
Vol 13 (23) ◽  
pp. 4077-4089 ◽  
Author(s):  
S. FALKENBERG ◽  
B. GEYER ◽  
P. LAVROV ◽  
P. MOSHIN
Keyword(s):  
Green's Functions ◽  
Gauge Theories ◽  
Green’S Functions ◽  
External Fields ◽  
Ward Identities ◽  
Gauge Dependence ◽  
General Gauge

We consider generating functionals of Green's functions with external fields in the framework of BV and BLT quantization schemes for general gauge theories. The corresponding Ward identities are obtained, and the gauge dependence is studied.

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