scholarly journals Comment on reparametrization invariance of quark–lepton complementarity

2012 ◽  
Vol 711 (1) ◽  
pp. 57-61 ◽  
Author(s):  
Guan-Nan Li ◽  
Hsiu-Hsien Lin ◽  
Xiao-Gang He
Keyword(s):  
Reparametrization Invariance

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.

Electrostatic rigidity of polyelectrolytes from reparametrization invariance

1996 ◽  
Vol 5 (1) ◽  
pp. 121-127 ◽  
Author(s):  
Arkady L. Kholodenko ◽  
Jack F. Douglas ◽  
Thomas A. Vilgis
Keyword(s):  
Reparametrization Invariance

scholarly journals TIME IN COSMOLOGY

1999 ◽  
Vol 08 (01) ◽  
pp. 1-22 ◽  
Author(s):  
R. BROUT ◽  
R. PARENTANI
Keyword(s):  
Total Energy ◽  
Scale Factor ◽  
Matrix Elements ◽  
Temporal Dependence ◽  
Radiative Processes ◽  
Fixed Energy ◽  
Transition Matrix Elements ◽  
In Virtue Of ◽  
The Universe ◽  
Reparametrization Invariance

The notion of time in cosmology is revealed through an examination of transition matrix elements of radiative processes occurring in the cosmos. To begin with, the very concept of time is delineated in classical physics in terms of correlations between the succession of configurations which describe a process and a standard trajectory called the clock. The total is an isolated system of fixed energy. This is relevant for cosmology in that the universe is an isolated system which we take to be homogeneous and isotropic. Furthermore, in virtue of the constraint which arises from reparametrization invariance of time, it has zero total energy. Therefore the momentum of the scale factor is determined from the energy of matter. In the quantum theory this is exploited through the use of WKB approximation for the wave function of the scale factor, justified for a large universe. The formalism then gives rise to matrix elements describing matter processes. These are shown to take on the form of usual time dependent quantum amplitudes wherein the temporal dependence is given by a background which is once more fixed by the total energy of matter.

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