Local gauge transformation and symmetric connection in space-time

1983 ◽  
Vol 36 (9) ◽  
pp. 266-268 ◽  
Author(s):  
Mlchio Nlshioka
Keyword(s):  
Gauge Transformation ◽  
Space Time ◽  
Local Gauge ◽  
Symmetric Connection ◽  
Local Gauge Transformation

scholarly journals Local gauge transformation for the quark propagator in an SU(N) gauge theory

2016 ◽  
Vol 93 (7) ◽  
Author(s):  
M. Jamil Aslam ◽  
A. Bashir ◽  
L. X. Gutiérrez-Guerrero
Keyword(s):  
Gauge Theory ◽  
Gauge Transformation ◽  
Quark Propagator ◽  
Local Gauge ◽  
Local Gauge Transformation

scholarly journals EXTENSION OF THE POINCARÉ GROUP AND NON-ABELIAN TENSOR GAUGE FIELDS

2010 ◽  
Vol 25 (31) ◽  
pp. 5765-5785 ◽  
Author(s):  
GEORGE SAVVIDY
Keyword(s):  
Gauge Group ◽  
Gauge Transformation ◽  
Space Time ◽  
Gauge Fields ◽  
Poincaré Group ◽  
Matrix Representations ◽  
Poincare Group ◽  
Yang Mills ◽  
The Matrix ◽  
Transversal Plane

In the recently proposed generalization of the Yang–Mills theory, the group of gauge transformation gets essentially enlarged. This enlargement involves a mixture of the internal and space–time symmetries. The resulting group is an extension of the Poincaré group with infinitely many generators which carry internal and space–time indices. The matrix representations of the extended Poincaré generators are expressible in terms of Pauli–Lubanski vector in one case and in terms of its invariant derivative in another. In the later case the generators of the gauge group are transversal to the momentum and are projecting the non-Abelian tensor gauge fields into the transversal plane, keeping only their positively definite spacelike components.

EXACT SOLUTIONS FOR SELF-DUAL SU(2) GAUGE THEORY WITH AXIAL SYMMETRY

2001 ◽  
Vol 16 (11) ◽  
pp. 685-692 ◽  
Author(s):  
G. ZET ◽  
V. MANTA ◽  
C. BANDAC
Keyword(s):  
Gauge Theory ◽  
Axial Symmetry ◽  
Dimensional Space ◽  
Space Time ◽  
Field Equations ◽  
Metric Tensor ◽  
Gauge Invariant ◽  
Local Gauge ◽  
Dimensional Space Time ◽  
Strength Tensor

A model of SU(2) gauge theory is constructed in terms of local gauge-invariant variables defined over a four-dimensional space–time endowed with axial symmetry. A metric tensor gμν is defined starting with the components [Formula: see text] of the strength tensor and its dual [Formula: see text]. The components gμν are interpreted as new local gauge-invariant variables. Imposing the condition that the new metric coincides with the initial metric we obtain the field equations for the considered ansatz. We obtain the same field equations using the condition of self-duality. It is concluded that the self-dual variables are compatible with the axial symmetry of the space–time. A family of analytical solutions of the gauge field equations is also obtained. The solutions have the confining properties. All the calculations are performed using the GRTensorII computer algebra package, running on the MapleV platform.

scholarly journals GROUND RING OF α-SYMMETRIES AND SEQUENCE OF RNS STRING THEORIES

2009 ◽  
Vol 24 (31) ◽  
pp. 5897-5924 ◽  
Author(s):  
DIMITRI POLYAKOV
Keyword(s):  
Lie Algebra ◽  
Extra Dimensions ◽  
Space Time ◽  
Field Theories ◽  
Superstring Theory ◽  
Local Gauge ◽  
Work In Progress ◽  
Gauge Symmetries ◽  
Solvable Lie Algebra ◽  
Virasoro Type

We construct a sequence of nilpotent BRST charges in RNS superstring theory, based on new gauge symmetries on the worldsheet, found in this paper. These new local gauge symmetries originate from the global nonlinear space–time α-symmetries, shown to form a noncommutative ground ring in this work. The important subalgebra of these symmetries is U (3) × X6, where X6 is solvable Lie algebra consisting of six elements with commutators reminiscent of the Virasoro type. We argue that the new BRST charges found in this work describe the kinetic terms in string field theories around curved backgrounds of the AdS × CP n-type, determined by the geometries of hidden extra dimensions induced by the global α-generators. The identification of these backgrounds is however left for the work in progress.

Sign in / Sign up

Export Citation Format

Share Document