Spinor matter fields in SL(2,C) gauge theories of gravity: Lagrangian and Hamiltonian approaches

1985 ◽  
Vol 31 (12) ◽  
pp. 3104-3129 ◽  
Author(s):  
Marek Antonowicz ◽  
Wiktor Szczyrba
Keyword(s):  
Gauge Theories ◽  
Spinor Matter ◽  
Theories Of Gravity ◽  
Matter Fields

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 THE GAUGE HIERARCHY PROBLEM AND HIGHER-DIMENSIONAL GAUGE THEORIES

1998 ◽  
Vol 13 (32) ◽  
pp. 2601-2611 ◽  
Author(s):  
HISAKI HATANAKA ◽  
TAKEO INAMI ◽  
C. S. LIM
Keyword(s):  
Higgs Mass ◽  
Quantum Correction ◽  
Gauge Theories ◽  
Finite Mass ◽  
Hierarchy Problem ◽  
Mass Correction ◽  
Higher Dimensional ◽  
Gauge Hierarchy ◽  
Simply Connected ◽  
Matter Fields

We report on an attempt to solve the gauge hierarchy problem in the framework of higher-dimensional gauge theories. Both classical Higgs mass and quadratically divergent quantum correction to the mass are argued to be vanished. Hence the hierarchy problem in its original sense is solved. The remaining finite mass correction is shown to depend crucially on the choice of boundary condition for matter fields, and a way to fix it dynamically is presented. We also point out that on the simply-connected space S2 even the finite mass correction vanishes.

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.

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