scholarly journals Canonical transformation path to gauge theories of gravity

2017 ◽  
Vol 95 (12) ◽  
Author(s):  
J. Struckmeier ◽  
J. Muench ◽  
D. Vasak ◽  
J. Kirsch ◽  
M. Hanauske ◽  
...  
Keyword(s):  
Canonical Transformation ◽  
Gauge Theories ◽  
Transformation Path ◽  
Theories Of Gravity

scholarly journals Symmetry algebra in gauge theories of gravity

2019 ◽  
Vol 36 (4) ◽  
pp. 045002 ◽  
Author(s):  
Cristóbal Corral ◽  
Yuri Bonder
Keyword(s):  
Gauge Theories ◽  
Symmetry Algebra ◽  
Theories Of Gravity

scholarly journals THE EXISTENCE OF TIME

2011 ◽  
Vol 08 (02) ◽  
pp. 273-301 ◽  
Author(s):  
JOSEPH A. SPENCER ◽  
JAMES T. WHEELER
Keyword(s):  
General Relativity ◽  
Euclidean Space ◽  
Configuration Space ◽  
Symplectic Form ◽  
Gauge Theories ◽  
Conformal Group ◽  
Metric Structures ◽  
Theories Of Gravity

Of those gauge theories of gravity known to be equivalent to general relativity, only the biconformal gauging introduces new structures — the quotient of the conformal group of any pseudo-Euclidean space by its Weyl subgroup always has natural symplectic and metric structures. Using this metric and symplectic form, we show that there exist canonically conjugate, orthogonal, metric submanifolds if and only if the original gauged space is Euclidean or signature 0. In the Euclidean cases, the resultant configuration space must be Lorentzian. Therefore, in this context, time may be viewed as a derived property of general relativity.

Progress in metric-affine gauge theories of gravity with local scale invariance

1989 ◽  
Vol 19 (9) ◽  
pp. 1075-1100 ◽  
Author(s):  
Friedrich W. Hehl ◽  
J. Dermott McCrea ◽  
Eckehard W. Mielke ◽  
Yuval Ne'eman
Keyword(s):  
Scale Invariance ◽  
Gauge Theories ◽  
Local Scale ◽  
Theories Of Gravity

scholarly journals Equivalence of Faddeev–Jackiw and Dirac Approaches for Gauge Theories

1997 ◽  
Vol 12 (02) ◽  
pp. 451-464 ◽  
Author(s):  
J. Antonio García ◽  
Josep M. Pons
Keyword(s):  
Darboux Transformation ◽  
Canonical Transformation ◽  
Gauge Theories ◽  
Reduction Process ◽  
Reduction Procedure ◽  
Standard Classification ◽  
Classical Reduction

The equivalence between the Dirac method and Faddeev–Jackiw analysis for gauge theories is proven. In particular we trace out, in a stage-by-stage procedure, the standard classification of first and second class constraints of Dirac's method in the F–J approach. We also find that the Darboux transformation implied in the F–J reduction process can be viewed as a canonical transformation in Dirac approach. Unlike Dirac's method, the F–J analysis is a classical reduction procedure. The quantization can be achieved only in the framework of reduce and then quantize approach with all the known problems that this type of procedure presents. Finally we illustrate the equivalence by means of a particular example.

scholarly journals Schwarzschild Space-Time in Gauge Theories of Gravity

1998 ◽  
Vol 99 (6) ◽  
pp. 971-992
Author(s):  
T. Kawai ◽  
E. Sakane ◽  
T. Tojo
Keyword(s):  
Gauge Theories ◽  
Space Time ◽  
Theories Of Gravity
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