A NOVEL COVARIANT APPROACH TO THE QUANTIZATION OF INTERACTIVE CHIRAL BOSONS

1994 ◽  
Vol 09 (14) ◽  
pp. 1273-1281 ◽  
Author(s):  
JIAN-GE ZHOU ◽  
YAN-GANG MIAO ◽  
YAO-YANG LIU
Keyword(s):  
Path Integral ◽  
Integral Approach ◽  
Gauge Fields ◽  
Covariant Quantization ◽  
Covariant Approach ◽  
Schwinger Model ◽  
Path Integral Approach ◽  
Chiral Bosons

A new covariant quantization of chiral bosons in the chiral Schwinger model with faddeevian regularization is carried out from Batalin-Fradkin (BF) algorithm. In order to turn the second class chiral constraint into first class constraints, infinitely many BF fields are first introduced. When combined with Batalin-Fradkin-Vilkovisky (BFV) formalism, two kinds of BRST-invariant actions have been derived. The first contains the Wess-Zumino action induced from the usual path-integral approach. But the second includes Wotzasek’s Wess-Zumino action coupled to the gauge fields.

PATH INTEGRAL QUANTIZATION OF THE CHIRAL SCHWINGER MODEL IN BOSONIZED FORM

2008 ◽  
Vol 23 (27n28) ◽  
pp. 4517-4532 ◽  
Author(s):  
PAUL BRACKEN
Keyword(s):  
Path Integral ◽  
Gauge Invariance ◽  
Path Integrals ◽  
Integral Approach ◽  
Gauge Invariant ◽  
Schwinger Model ◽  
Path Integral Quantization ◽  
Path Integral Approach ◽  
Physical Quantities

The development of the Wess–Zumino action or one-cycle is reviewed from the path integral approach. This is related to the occurrence of anomalies in the theory, and generally signifies a breakdown of gauge invariance. The Jackiw–Rajaraman version of the chiral Schwinger model is studied by means of path integrals. It is shown how the model can be made gauge invariant by using a Wess–Zumino term to write a gauge invariant Lagrangian. The model is considered only in bosonized form without any reference to fermions. The constraints are determined. These components are then used to write a path integral quantization for the bosonized form of the model. Some physical quantities and information, in particular, propagators are derived from the path integral.

Dimensional regularization and the path-integral approach to photon mass in the Schwinger model

1989 ◽  
Vol 67 (5) ◽  
pp. 515-518
Author(s):  
T. F. Treml
Keyword(s):  
Path Integral ◽  
Quantum Electrodynamics ◽  
Dimensional Regularization ◽  
Integral Approach ◽  
Coordinate Space ◽  
Photon Mass ◽  
Two Dimensional ◽  
Schwinger Model ◽  
Path Integral Approach

The derivation of the photon mass in the Schwinger model (two-dimensional quantum electrodynamics) is studied in a path-integral approach that employs a coordinate-space form of dimensional regularization. The role of the antisymmetric epsilon pseudotensor in dimensional regularization is briefly discussed. It is shown that the correct photon mass may easily be recovered by a dimensionally regularized calculation in which the epsilon pseudotensor is taken to be a purely two-dimensional quantity.

The Path Integral Approach for the Nuclear Collective Motion

1983 ◽  
Vol 27 (2) ◽  
pp. 72-76 ◽  
Author(s):  
D Galetti ◽  
S S Mizrahi ◽  
B M Pimentel
Keyword(s):  
Path Integral ◽  
Collective Motion ◽  
Integral Approach ◽  
Path Integral Approach
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