scholarly journals Constraint algebra of degenerate relativity

1993 ◽  
Vol 48 (12) ◽  
pp. 5676-5683 ◽  
Author(s):  
Joseph D. Romano
Keyword(s):  
Constraint Algebra

scholarly journals CONSTRAINT ALGEBRAS IN GAUGE-INVARIANT SYSTEMS

1995 ◽  
Vol 10 (28) ◽  
pp. 4087-4105 ◽  
Author(s):  
KH. S. NIROV
Keyword(s):  
Wide Class ◽  
Arbitrary Function ◽  
Arbitrary Order ◽  
Local Symmetry ◽  
Poisson Brackets ◽  
Hamiltonian Description ◽  
Gauge Invariant ◽  
Symmetry Transformations ◽  
Constraint Algebra ◽  
Derivatives Of

A Hamiltonian description is constructed for a wide class of mechanical systems having local symmetry transformations depending on time derivatives of the gauge parameters of arbitrary order. The Poisson brackets of the Hamiltonian and constraints with each other and with an arbitrary function are explicitly obtained. The constraint algebra is proved to be of the first class.

GAUGE MODELS OF “DISCRETE STRINGS”

1989 ◽  
Vol 04 (22) ◽  
pp. 2167-2176 ◽  
Author(s):  
A.T. FILIPPOV ◽  
A.P. ISAEV
Keyword(s):  
Degrees Of Freedom ◽  
Supersymmetric Extension ◽  
Infinite Dimensional ◽  
Gauge Models ◽  
New Class ◽  
Integral Methods ◽  
Constrained Hamiltonian Systems ◽  
Left And Right ◽  
Constraint Algebra ◽  
The Continuum

A new class of constrained hamiltonian systems with a finite number of degrees of freedom is proposed in which excitations can be divided into two groups analogous to the left and right movers of string theories. Some of these models can be regarded as discrete analogs of the bosonic string, and in the continuum limit with the infinite dimensional constraint algebra Vect (S1)⊗ Vect (S1) one can obtain the classical theory of closed bosonic strings. We also discuss the problem of quantizing these models and constructing the propagator by using path integral methods. A possibility of a supersymmetric extension of our models is also pointed out.

scholarly journals A CANONICAL RANK-THREE TENSOR MODEL WITH A SCALING CONSTRAINT

2013 ◽  
Vol 28 (10) ◽  
pp. 1350030 ◽  
Author(s):  
NAOKI SASAKURA
Keyword(s):  
General Relativity ◽  
Fixed Points ◽  
Configuration Space ◽  
Canonical Formalism ◽  
Classical Solutions ◽  
Hamiltonian Constraint ◽  
Tensor Model ◽  
Class Constraint ◽  
Constraint Algebra ◽  
Group Symmetries

A rank-three tensor model in canonical formalism has recently been proposed. The model describes consistent local-time evolutions of fuzzy spaces through a set of first-class constraints which form an on-shell closed algebra with structure functions. In fact, the algebra provides an algebraically consistent discretization of the Dirac–DeWitt constraint algebra in the canonical formalism of general relativity. However, the configuration space of this model contains obvious degeneracies of representing identical fuzzy spaces. In this paper, to delete the degeneracies, another first-class constraint representing a scaling symmetry is added to propose a new canonical rank-three tensor model. A consequence is that, while classical solutions of the previous model have typically runaway or vanishing behaviors, the new model has a compact configuration space and its classical solutions asymptotically approach either fixed points or cyclic orbits in time evolution. Among others, fixed points contain configurations with group symmetries, and may represent stationary symmetric fuzzy spaces. Another consequence on the uniqueness of the local Hamiltonian constraint is also discussed, and a minimal canonical tensor model, which is unique, is given.

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