scholarly journals Time-reparametrization invariance and Hamilton-Jacobi approach to the cosmological σ-model

2014 ◽  
Vol 62 (7) ◽  
pp. 543-555 ◽  
Author(s):  
J.W. van Holten ◽  
R. Kerner
Keyword(s):  
Time Reparametrization Invariance ◽  
Reparametrization Invariance

scholarly journals Discreteness of time in the evolution of the universe

2017 ◽  
Vol 32 (10) ◽  
pp. 1750049 ◽  
Author(s):  
Mir Faizal ◽  
Ahmed Farag Ali ◽  
Saurya Das
Keyword(s):  
Spontaneous Breaking ◽  
Problem Of Time ◽  
Extended Structure ◽  
Evolution Of The Universe ◽  
Generalized Geometry ◽  
Time Reparametrization Invariance ◽  
M Theory ◽  
The Universe ◽  
Reparametrization Invariance ◽  
Time Crystals

In this paper, we will first derive the Wheeler–DeWitt equation for the generalized geometry which occurs in M-theory. Then we will observe that M2-branes act as probes for this generalized geometry, and as M2-branes have an extended structure, their extended structure will limits the resolution to which this generalized geometry can be defined. We will demonstrate that this will deform the Wheeler–DeWitt equation for the generalized geometry. We analyze such a deformed Wheeler–DeWitt equation in the minisuperspace approximation, and observe that this deformation can be used as a solution to the problem of time. This is because this deformation gives rise to time crystals in our universe due to the spontaneous breaking of time reparametrization invariance.

scholarly journals A SCHRÖDINGER EQUATION FOR MINIUNIVERSES

1995 ◽  
Vol 10 (05) ◽  
pp. 611-633 ◽  
Author(s):  
MARCO CAVAGLIÀ ◽  
VITTORIO DE ALFARQ ◽  
ALEXANDRE T. FILIPPOV
Keyword(s):  
Wave Function ◽  
Schrödinger Equation ◽  
Finite Number ◽  
Schrodinger Equation ◽  
Degrees Of Freedom ◽  
Effective Hamiltonian ◽  
Zero Modes ◽  
Walker Metric ◽  
Time Reparametrization Invariance ◽  
Reparametrization Invariance

We discuss how to fix the gauge in the canonical treatment of Lagrangians, with a finite number of degrees of freedom, endowed with time reparametrization invariance. The motion can be described by an effective Hamiltonian acting on the gauge shell canonical space. The system is then suited for quantization. We apply this treatment to the case of a Robertson–Walker metric interacting with zero modes of bosonic fields and write a Schrödinger equation for the on-shell wave function.

scholarly journals Effective Action and Measure in Matrix Model of IIB Superstrings

1997 ◽  
Vol 12 (31) ◽  
pp. 2331-2340 ◽  
Author(s):  
L. Chekhov ◽  
K. Zarembo
Keyword(s):  
Matrix Model ◽  
Effective Action ◽  
Continuum Limit ◽  
Auxiliary Field ◽  
Large N ◽  
The Matrix ◽  
Reparametrization Invariance ◽  
The Continuum ◽  
Induced Measure

We calculate an effective action and measure induced by the integration over the auxiliary field in the matrix model recently proposed to describe IIB superstrings. It is shown that the measure of integration over the auxiliary matrix is uniquely determined by locality and reparametrization invariance of the resulting effective action. The large-N limit of the induced measure for string coordinates is discussed in detail. It is found to be ultralocal and, thus, is possibly irrelevant in the continuum limit. The model of the GKM type is considered in relation to the effective action problem.

scholarly journals A Locally Supersymmetric Action for the Scalar Particle

1997 ◽  
Vol 12 (18) ◽  
pp. 1291-1299
Author(s):  
Fiorenzo Bastianelli ◽  
Luca Consoli
Keyword(s):  
Gauge Symmetry ◽  
Algebraic Structure ◽  
Scalar Particle ◽  
Bosonic String ◽  
Invariant Action ◽  
Reparametrization Invariance

We construct a locally supersymmetric action for the scalar particle, and study its relation with the usual reparametrization invariant action. The mechanisms at work are similar to those employed in the embedding of the bosonic string into the fermionic one, originally due to Berkovits and Vafa in their search for a universal string. The simpler algebraic structure present in the particle case provides us with a guide on how to prove in a simple way, without the need of fixing the superconformal gauge, that the supersymmetric formulation of the bosonic string is equivalent to the usual one, where reparametrization invariance is the only worldsheet gauge symmetry.

scholarly journals Reparametrization invariance of path integrals

1999 ◽  
Vol 464 (3-4) ◽  
pp. 257-264 ◽  
Author(s):  
H. Kleinert ◽  
A. Chervyakov
Keyword(s):  
Path Integrals ◽  
Reparametrization Invariance

SYMPLECTIC ANALYSIS OF CONSTRAINED SYSTEMS

1993 ◽  
Vol 08 (24) ◽  
pp. 4319-4337 ◽  
Author(s):  
H. MONTANI
Keyword(s):  
Constrained Systems ◽  
Formal Equivalence ◽  
Gauge Symmetries ◽  
Reparametrization Invariance

The formal equivalence of the Dirac’s methods and the modified Faddeev-Jackiw approach, obtained by transferring the constraints from the coordinates to the velocities, is shown. The relation between internal and noninternal gauge symmetries, and first class constraints are analyzed in this framework. As a particular case, the reparametrization invariance is also discussed.

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