scholarly journals HAMILTONIAN ANALYSIS OF POINCARÉ GAUGE THEORY SCALAR MODES

1999 ◽  
Vol 08 (04) ◽  
pp. 459-479 ◽  
Author(s):  
HWEI-JANG YO ◽  
JAMES M. NESTER
Keyword(s):  
Gauge Theory ◽  
Explicit Form ◽  
Lagrange Multipliers ◽  
Complete Analysis ◽  
Simple Type ◽  
Hamiltonian Constraint ◽  
Massive Spin ◽  
Parameter Values ◽  
Gauge Theory Of Gravity ◽  
Hamiltonian Analysis

The Hamiltonian constraint formalism is used to obtain the first explicit complete analysis of nontrivial viable dynamic modes for the Poincaré gauge theory of gravity. Two modes with propagating spin-zero torsion are analyzed. The explicit form of the Hamiltonian is presented. All constraints are obtained and classified. The Lagrange multipliers are derived. It is shown that a massive spin -0- mode has normal dynamical propagation but the associated massless 0- is pure gauge. The spin -0+ mode investigated here is also viable in general. Both modes exhibit a simple type of "constraint bifurcation" for certain special field/parameter values.

scholarly journals NOTE ABOUT HAMILTONIAN FORMALISM FOR GENERAL NONLINEAR MASSIVE GRAVITY ACTION IN STÜCKELBERG FORMALISM

2013 ◽  
Vol 28 (30) ◽  
pp. 1350160 ◽  
Author(s):  
JOSEF KLUSOŇ
Keyword(s):  
Time Evolution ◽  
Explicit Form ◽  
Hamiltonian Formalism ◽  
Complex Form ◽  
Massive Gravity ◽  
Complete Analysis ◽  
Constraint Structure ◽  
The Stability ◽  
Nonlinear Gravity ◽  
Hamiltonian Analysis

In this paper, we try to prove the absence of the ghosts in case of the general nonlinear massive gravity action in Stückelberg formalism. We argue that in order to find the explicit form of the Hamiltonian it is natural to start with the general nonlinear massive gravity action [S. F. Hassan and R. A. Rosen, Phys. Rev. Lett. 108, 041101 (2012), arXiv:1106.3344 [hep-th]]. We perform the complete Hamiltonian analysis of the Stückelberg form of the minimal the nonlinear gravity action in this formulation and show that the constraint structure is so rich that it is possible to eliminate nonphysical modes. Then, we extend this analysis to the case of the general nonlinear massive gravity action. We find the corresponding Hamiltonian and collection of the primary constraints. Unfortunately we are not able to finish the complete analysis of the stability of all constraints due to the complex form of one primary constraint so that we are not able to determine the conditions under which given constraint is preserved during the time evolution of the system.

scholarly journals Critical behaviour of SU(2) lattice gauge theory. A complete analysis with the χ2-method

1996 ◽  
Vol 365 (1-4) ◽  
pp. 219-224 ◽  
Author(s):  
J. Engels ◽  
S. Mashkevich ◽  
T. Scheideler ◽  
G. Zinovjev
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Critical Behaviour ◽  
Complete Analysis ◽  
Lattice Gauge

scholarly journals A CHERN–SIMONS E8 GAUGE THEORY OF GRAVITY IN D = 15, GRAND UNIFICATION AND GENERALIZED GRAVITY IN CLIFFORD SPACES

2007 ◽  
Vol 04 (08) ◽  
pp. 1239-1257 ◽  
Author(s):  
CARLOS CASTRO
Keyword(s):  
Gauge Theory ◽  
Grand Unification ◽  
De Sitter ◽  
Sitter Group ◽  
Yang Mills ◽  
Theory Of Gravity ◽  
M Theory ◽  
Chern Simons ◽  
Topological Part ◽  
Gauge Theory Of Gravity

A novel Chern–Simons E8 gauge theory of gravity in D = 15 based on an octicE8 invariant expression in D = 16 (recently constructed by Cederwall and Palmkvist) is developed. A grand unification model of gravity with the other forces is very plausible within the framework of a supersymmetric extension (to incorporate spacetime fermions) of this Chern–Simons E8 gauge theory. We review the construction showing why the ordinary 11D Chern–Simons gravity theory (based on the Anti de Sitter group) can be embedded into a Clifford-algebra valued gauge theory and that an E8 Yang–Mills field theory is a small sector of a Clifford (16) algebra gauge theory. An E8 gauge bundle formulation was instrumental in understanding the topological part of the 11-dim M-theory partition function. The nature of this 11-dim E8 gauge theory remains unknown. We hope that the Chern–Simons E8 gauge theory of gravity in D = 15 advanced in this work may shed some light into solving this problem after a dimensional reduction.

CAN TORSION BE TREATED AS JUST ANOTHER TENSOR FIELD?

2012 ◽  
Vol 07 ◽  
pp. 158-164 ◽  
Author(s):  
JAMES M. NESTER ◽  
CHIH-HUNG WANG
Keyword(s):  
Gauge Theory ◽  
Tensor Field ◽  
Affine Connection ◽  
Cartan Geometry ◽  
Civita Connection ◽  
Levi Civita Connection ◽  
Alternative Gravity Theories ◽  
Theory Of Gravity ◽  
Gauge Theory Of Gravity ◽  
Alternative Gravity

Many alternative gravity theories use an independent connection which leads to torsion in addition to curvature. Some have argued that there is no physical need to use such connections, that one can always use the Levi-Civita connection and just treat torsion as another tensor field. We explore this issue here in the context of the Poincaré Gauge theory of gravity, which is usually formulated in terms of an affine connection for a Riemann-Cartan geometry (torsion and curvature). We compare the equations obtained by taking as the independent dynamical variables: (i) the orthonormal coframe and the connection and (ii) the orthonormal coframe and the torsion (contortion), and we also consider the coupling to a source. From this analysis we conclude that, at least for this class of theories, torsion should not be considered as just another tensor field.

scholarly journals Maxwell-affine gauge theory of gravity

2015 ◽  
Vol 751 ◽  
pp. 131-134 ◽  
Author(s):  
O. Cebecioğlu ◽  
S. Kibaroğlu
Keyword(s):  
Gauge Theory ◽  
Theory Of Gravity ◽  
Gauge Theory Of Gravity

scholarly journals Generalized plane waves in Poincaré gauge theory of gravity

2017 ◽  
Vol 96 (6) ◽  
Author(s):  
Milutin Blagojević ◽  
Branislav Cvetković ◽  
Yuri N. Obukhov
Keyword(s):  
Gauge Theory ◽  
Plane Waves ◽  
Theory Of Gravity ◽  
Gauge Theory Of Gravity
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