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

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.

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

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.

GAUGE-INVARIANT QUANTISATION OF CHIRAL GAUGE THEORIES

1990 ◽  
Vol 05 (03) ◽  
pp. 175-182 ◽  
Author(s):  
T. D. KIEU
Keyword(s):  
Path Integral ◽  
Gauge Theories ◽  
Berry Phase ◽  
Integral Functional ◽  
Gauge Fields ◽  
Quantum Mechanical ◽  
Gauge Invariant ◽  
Normal Ordering ◽  
Schwinger Model ◽  
Holomorphic Representation

The path-integral functional of chiral gauge theories with background gauge potentials are derived in the holomorphic representation. Justification is provided, from first quantum mechanical principles, for the appearance of a functional phase factor of the gauge fields in order to maintain the gauge invariance. This term is shown to originate either from the Berry phase of the first-quantized hamiltonians or from the normal ordering of the second-quantized hamiltonian with respect to the Dirac in-vacuum. The quantization of the chiral Schwinger model is taken as an example.

scholarly journals A gauge invariant and string independent fermion correlator in the Schwinger model

2003 ◽  
Vol 36 (17) ◽  
pp. 4927-4936 ◽  
Author(s):  
D G Barci ◽  
L E Oxman ◽  
S P Sorella
Keyword(s):  
Gauge Invariant ◽  
Schwinger Model

scholarly journals A CHIRAL SCHWINGER MODEL, ITS CONSTRAINT STRUCTURE AND APPLICATIONS TO ITS QUANTIZATION

2008 ◽  
Vol 23 (06) ◽  
pp. 855-869 ◽  
Author(s):  
PAUL BRACKEN
Keyword(s):  
Scalar Field ◽  
Canonical Quantization ◽  
Gauge Invariant ◽  
Invariant Model ◽  
Schwinger Model ◽  
Gauge Fixing ◽  
Dirac Brackets ◽  
Constraint Structure

The Jackiw–Rajaraman version of the chiral Schwinger model is studied as a function of the renormalization parameter. The constraints are obtained and they are used to carry out canonical quantization of the model by means of Dirac brackets. By introducing an additional scalar field, it is shown that the model can be made gauge invariant. The gauge invariant model is quantized by establishing a pair of gauge fixing constraints in order that the method of Dirac can be used.

VECTOR SCHWINGER MODEL WITH A PHOTON MASS TERM: GAUGE-INVARIANT REFORMULATION, OPERATOR SOLUTIONS AND HAMILTONIAN AND PATH INTEGRAL FORMULATIONS

2007 ◽  
Vol 22 (39) ◽  
pp. 2993-3001 ◽  
Author(s):  
USHA KULSHRESHTHA
Keyword(s):  
Path Integral ◽  
Quantum Electrodynamics ◽  
Mass Term ◽  
Photon Mass ◽  
Two Dimensional ◽  
Gauge Invariant ◽  
Schwinger Model ◽  
Left Handed ◽  
Stueckelberg Formalism ◽  
Massless Fermions

We consider the vector Schwinger model (VSM) describing two-dimensional electrodynamics with massless fermions, where the left-handed and right-handed fermions are coupled to the electromagnetic field with equal couplings, with a mass term for the U(1) gauge field and then study its operator solutions and the Hamiltonian and path integral formulations. We emphasize here that although the VSM has been studied in the literature rather widely but only without a photon mass term (which was a consequence of demanding the regularization for the VSM to be gauge-invariant (GI)). The VSM with a photon mass term is seen to be a gauge-noninvariant (GNI) theory. Using the standard Stueckelberg formalism we then construct a GI theory corresponding to the proposed GNI model. From this reformulated GI theory, we further recover the physical contents of the proposed GNI theory under a very special gauge choice. The theory proposed and studied here presents a new class of models in the two-dimensional quantum electrodynamics with massless fermions but with a photon mass term.

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