scholarly journals Generalized gauge-invariant regularization of the Schwinger model

1994 ◽  
Vol 50 (6) ◽  
pp. 4183-4188 ◽  
Author(s):  
G. Bhattacharya ◽  
A. Ghosh ◽  
P. Mitra
Keyword(s):  
Gauge Invariant ◽  
Schwinger Model ◽  
Invariant Regularization

scholarly journals ON THE QUESTION OF DECONFINEMENT IN NONCOMMUTATIVE SCHWINGER MODEL

2008 ◽  
Vol 23 (34) ◽  
pp. 2947-2955 ◽  
Author(s):  
ANIRBAN SAHA ◽  
ANISUR RAHAMAN ◽  
PRADIP MUKHERJEE
Keyword(s):  
Gauge Invariant ◽  
Schwinger Model ◽  
Invariant Regularization

The (1+1)-dimensional bosonized Schwinger model with a generalized gauge-invariant regularization has been studied in a noncommutative scenario. The original commutative model with the indicated regularization revealed the transition from confinement to deconfinement of the fermion.10 We show that though the introduction of spacetime noncommutativity gives rise to new features in the confinement scenario, it does not affect the deconfining limit.

CONSISTENT CANONICAL QUANTIZATION OF THE CHIRAL SCHWINGER MODEL

1991 ◽  
Vol 06 (21) ◽  
pp. 3823-3841 ◽  
Author(s):  
FUAD M. SARADZHEV
Keyword(s):  
Canonical Quantization ◽  
Bound State ◽  
Gauge Invariant ◽  
Gauge Transformations ◽  
Schwinger Model ◽  
Canonical Variables ◽  
Bound State Spectrum

For the chiral Schwinger model, the canonical quantization formulation consistent with the Gauss law constraint is developed. This requires modification of the canonical variables of the model. The formulation presented is unitary and gauge-invariant under modified gauge transformations. The bound state spectrum of the model is established.

To Restore the Broken Symmetry in the Nonconfining Schwinger Model

1997 ◽  
Vol 12 (31) ◽  
pp. 5625-5637 ◽  
Author(s):  
Anisur Rahaman
Keyword(s):  
Phase Space ◽  
Gauge Symmetry ◽  
Effective Action ◽  
Invariant Theory ◽  
Broken Symmetry ◽  
Quantum Mechanical ◽  
Gauge Invariant ◽  
Schwinger Model ◽  
Proper Extension

A new generalization of the vector Schwinger model is considered where gauge symmetry is broken at the quantum mechanical level. By proper extension of the phase space this broken symmetry has been restored in two different ways. One of these two leads to a BRST-invariant effective action. An equivalent gauge-invariant theory is reformulated even in the usual phase space also.

WARD IDENTITY FOR NONLOCAL QED

1998 ◽  
Vol 13 (05) ◽  
pp. 797-829 ◽  
Author(s):  
P. C. RAJE BHAGEERATHI ◽  
KURUVILLA EAPEN
Keyword(s):  
Ward Identity ◽  
Vertex Part ◽  
Gauge Invariant ◽  
Regularization Scheme ◽  
Usual Form ◽  
Nonlocal Regularization ◽  
Invariant Regularization

Evens et al.1 have given a gauge-invariant regularization scheme for QED which they have named nonlocal regularization. The present authors2 have worked out the QED vertex part in this scheme of regularization. In this paper we present a Ward identity for nonlocal QED to the order of two loops (order e4). In the limit of QED (Λ→∞), this identity reduces to the usual form of the Ward identity.

COMPARISON OF THE ANOMALOUS AND NONANOMALOUS GENERALIZED SCHWINGER MODELS VIA THE FUNCTIONAL FORMALISM

1994 ◽  
Vol 09 (13) ◽  
pp. 2229-2244 ◽  
Author(s):  
ALVARO DE SOUZA DUTRA
Keyword(s):  
Correlation Functions ◽  
Lagrangian Density ◽  
Source Term ◽  
Higher Order ◽  
Green Functions ◽  
Functional Formalism ◽  
Gauge Invariant ◽  
Schwinger Model ◽  
Physical Consequences ◽  
Higher Order Lagrangian

We calculate the Green functions of the two versions of the generalized Schwinger model, the anomalous and the nonanomalous one, in their higher order Lagrangian density form. Furthermore, it is shown through a sequence of transformations that the bosonized Lagrangian density is equivalent to the former, at least for the bosonic correlation functions. The introduction of the sources from the beginning, leading to a gauge-invariant source term, is also considered. It is verified that the two models have the same correlation functions only if the gauge-invariant sector is taken into account. Finally, there is presented a generalization of the Wess-Zumino term, and its physical consequences are studied, in particular the appearance of gauge-dependent massive excitations.

Gauge invariant theories of the generalized chiral Schwinger model

1996 ◽  
Vol 71 (3) ◽  
pp. 525-531 ◽  
Author(s):  
Yan-Gang Miao ◽  
H. J. W. Müller-Kirsten ◽  
Jian-Ge Zhou
Keyword(s):  
Gauge Invariant ◽  
Schwinger Model

Gauge invariant theories of the generalized chiral Schwinger model

1996 ◽  
Vol 71 (3) ◽  
pp. 525-531 ◽  
Author(s):  
Yan-Gang Miao ◽  
H. J. W. Müller-Kirsten ◽  
Jian-Ge Zhou
Keyword(s):  
Gauge Invariant ◽  
Schwinger Model

Gauge invariant regularization of Yang-Mills wave functionals

1985 ◽  
Vol 154 (4) ◽  
pp. 296-302 ◽  
Author(s):  
B.F. Hatfield
Keyword(s):  
Gauge Invariant ◽  
Yang Mills ◽  
Invariant Regularization

scholarly journals EXACT SOLUTION OF THE SCHWINGER MODEL WITH COMPACT U(1)

2001 ◽  
Vol 16 (03) ◽  
pp. 121-133
Author(s):  
ROMÁN LINARES ◽  
LUIS F. URRUTIA ◽  
J. DAVID VERGARA
Keyword(s):  
Exact Solution ◽  
Harmonic Oscillator ◽  
Gauge Group ◽  
Electric Charge ◽  
Axial Current ◽  
Gauge Invariant ◽  
Schwinger Model ◽  
Zero Modes ◽  
Compact Gauge Group ◽  
Θ Vacuum

The exact solution of the Schwinger model with compact gauge group U(1) is presented. The compactification is imposed by demanding that the only surviving true electromagnetic degree of freedom c has angular character. Not surprisingly, this topological condition defines a version of the Schwinger model which is different from the standard one, where c takes values on the line. The main consequences are: The spectra of the zero modes is not degenerated and does not correspond to the equally spaced harmonic oscillator, both the electric charge and a modified gauge-invariant chiral charge are conserved (nevertheless, the axial-current anomaly is still present) and, finally, there is no need to introduce a θ-vacuum. A comparison with the results of the standard Schwinger model is pointed out along the text.

SHIELDING IN THE CHIRAL SCHWINGER MODEL

1989 ◽  
Vol 04 (02) ◽  
pp. 427-436 ◽  
Author(s):  
T. BERGER ◽  
N. K. FALCK ◽  
G. KRAMER
Keyword(s):  
Wilson Loop ◽  
Gauge Invariant ◽  
Regularization Scheme ◽  
Schwinger Model

Fermionic propagators and the Wilson loop of the gauge invariant chiral Schwinger model are compared with their counterparts in the Schwinger model. It is made evident that in the chiral Schwinger model the charges are also shielded as in the ordinary Schwinger model. Furthermore we show that the Schwinger model can be reformulated in such a way that it becomes the chiral Schwinger model endowed with a special regularization scheme.

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