scholarly journals Quantization procedure for non-Abelian chiral bosons

1989 ◽  
Vol 40 (2) ◽  
pp. 491-494 ◽  
Author(s):  
E. Abdalla ◽  
M. C. B. Abdalla
Keyword(s):  
Quantization Procedure ◽  
Chiral Bosons

Chiral bosons coupled to supergravity

1989 ◽  
Vol 217 (1-2) ◽  
pp. 98-102 ◽  
Author(s):  
Fiorenzo Bastianelli ◽  
Peter Van Nieuwenhuizen
Keyword(s):  
Chiral Bosons

scholarly journals Uniform discretizations: a quantization procedure for totally constrained systems including gravity

2007 ◽  
Vol 67 ◽  
pp. 012020 ◽  
Author(s):  
Miguel Campiglia ◽  
Cayetano Di Bartolo ◽  
Rodolfo Gambini ◽  
Jorge Pullin
Keyword(s):  
Constrained Systems ◽  
Quantization Procedure

scholarly journals Variational tricomplex of a local gauge system, Lagrange structure and weak Poisson bracket

2015 ◽  
Vol 30 (25) ◽  
pp. 1550152 ◽  
Author(s):  
A. A. Sharapov
Keyword(s):  
Poisson Bracket ◽  
Poisson Structure ◽  
Symplectic Structure ◽  
Two Dimensions ◽  
Generating Functional ◽  
Local Gauge ◽  
Brst Charge ◽  
General Correspondence ◽  
Chiral Bosons ◽  
Gauge Systems

We introduce the concept of a variational tricomplex, which is applicable both to variational and nonvariational gauge systems. Assigning this tricomplex with an appropriate symplectic structure and a Cauchy foliation, we establish a general correspondence between the Lagrangian and Hamiltonian pictures of one and the same (not necessarily variational) dynamics. In practical terms, this correspondence allows one to construct the generating functional of a weak Poisson structure starting from that of a Lagrange structure. As a byproduct, a covariant procedure is proposed for deriving the classical BRST charge of the BFV formalism by a given BV master action. The general approach is illustrated by the examples of Maxwell’s electrodynamics and chiral bosons in two dimensions.

COVARIANT VS. UNITARY QUANTIZATION: SUPERSYMMETRIC RECONCILIATION

1993 ◽  
Vol 08 (10) ◽  
pp. 1773-1785
Author(s):  
L. ROZANSKY
Keyword(s):  
Path Integral ◽  
Integral Formalism ◽  
Quantization Procedure ◽  
One Dimensional ◽  
Path Integral Formalism ◽  
Unitary Gauge ◽  
Gravitational Theories ◽  
Dirac Spin

A quantization of one-dimensional supergravity, which leads to a Dirac spin 1/2 particle, is considered. A propagator of this particle is calculated in the path integral formalism. A covariant procedure (which involves ghosts) is applied in the unitary gauge. We show that supersymmetry can remove the discrepancy between the covariant and unitary quantization procedure, which was discovered in Ref. 4 for the case of nonsupersymmetric gravitational theories.

scholarly journals Canonical Quantization Procedure in a Theory with Absolute Teleparallelism

1985 ◽  
Vol 74 (3) ◽  
pp. 626-629
Author(s):  
R. de A. Campos ◽  
P. S. Letelier ◽  
C. G. de Oliveira
Keyword(s):  
Canonical Quantization ◽  
Quantization Procedure

scholarly journals A NOTE ON 2D CHIRAL GRAVITY AND CHIRAL BOSONS

1992 ◽  
Vol 07 (40) ◽  
pp. 3777-3782 ◽  
Author(s):  
FIORENZO BASTIANELLI
Keyword(s):  
Effective Action ◽  
Light Cone ◽  
Two Dimensional ◽  
Light Cone Gauge ◽  
Conformal Gauge ◽  
Chiral Bosons

Quantization of two-dimensional chiral matter coupled to gravity induces an effective action for the zweibein field which is both Weyl and Lorentz anomalous. Recently, the quantization of this induced action has been analyzed in the light-cone gauge as well as in the conformal gauge. An apparent mismatch between the results obtained in the two gauges is analyzed and resolved by properly treating the Lorentz field as a chiral boson.

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