θ VACUUM IN THE CHIRAL SCHWINGER MODEL

1991 ◽  
Vol 06 (02) ◽  
pp. 243-261 ◽  
Author(s):  
M. CARENA ◽  
C.E.M. WAGNER
Keyword(s):  
Physical Properties ◽  
Vacuum State ◽  
Cluster Property ◽  
Gauge Invariant ◽  
Schwinger Model ◽  
Invariant Formulation ◽  
Dependent Parameter ◽  
Vector Theory ◽  
Θ Vacuum

The physical properties of the chiral Schwinger model are studied, for the particular value of the regularization-dependent parameter a=2. Within a gauge-invariant formulation, we prove that, apart from free physical chiral states, the chiral Schwinger model is equivalent to the vector Schwinger model. In particular, we show that, as in the vector theory, the cluster property is not fulfilled unless the vacuum state is properly defined.

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.

A SIMPLE MANNER FOR THE QUANTIZATION OF ANOMALOUS GAUGE THEORIES

1989 ◽  
Vol 04 (05) ◽  
pp. 501-506
Author(s):  
O. J. KWON ◽  
B. H. CHO ◽  
S. K. KIM ◽  
Y. D. KIM
Keyword(s):  
Path Integral ◽  
Gauge Theories ◽  
Quantum Level ◽  
Integral Formalism ◽  
Simple Manner ◽  
Gauge Invariant ◽  
Massive Vector ◽  
Schwinger Model ◽  
Vector Theory ◽  
Stueckelberg Formalism

The chiral Schwinger model is a massive vector theory at the quantum level. We construct the gauge invariant action using Stueckelberg formalism from this. Then the resulting action is exactly the same as the modified action obtained by path-integral formalism. We propose a simple manner for the quantization of anomalous gauge theories.

scholarly journals BFFT FORMALISM APPLIED TO THE MINIMAL CHIRAL SCHWINGER MODEL

2004 ◽  
Vol 19 (39) ◽  
pp. 2957-2969 ◽  
Author(s):  
C. P. NATIVIDADE ◽  
H. BOSCHI-FILHO ◽  
L. V. BELVEDERE
Keyword(s):  
Gauge Theory ◽  
Gauge Transformation ◽  
Point Of View ◽  
Chiral Model ◽  
Gauge Invariant ◽  
Schwinger Model ◽  
Invariant Action ◽  
Invariant Formulation

We consider the minimal chiral Schwinger model, by embedding the gauge non-invariant formulation into a gauge theory following the Batalin–Fradkin–Fradkina–Tyutin point of view. Within the BFFT procedure, the second-class constraints are converted into strongly involutive first-class ones, leading to an extended gauge-invariant formulation. We also show that, like the standard chiral model, in the minimal chiral model the Wess–Zumino action can be obtained by performing a q-number gauge transformation into the effective gauge non-invariant action.

scholarly journals Gauge invariant formulation and bosonisation of the Schwinger model

1998 ◽  
Vol 419 (1-4) ◽  
pp. 285-290 ◽  
Author(s):  
J. Kijowski ◽  
G. Rudolph ◽  
M. Rudolph
Keyword(s):  
Gauge Invariant ◽  
Schwinger Model ◽  
Invariant Formulation

OPERATOR GAUGE TRANSFORMATION AND THE WESS–ZUMINO TERM

1995 ◽  
Vol 10 (03) ◽  
pp. 207-217 ◽  
Author(s):  
L. V. BELVEDERE ◽  
K. D. ROTHE
Keyword(s):  
Gauge Transformation ◽  
Gauge Invariant ◽  
Schwinger Model ◽  
Invariant Formulation

We discuss the generation of the Wess–Zumino term in the chiral Schwinger model via an operator-valued gauge transformation of its gauge noninvariant formulation. Furthermore, the completely fermionized version of the gauge-invariant formulation of this model for a general value of the JR parameter is shown to be equivalent to a generalized chiral Schwinger model including a Thirring interaction.

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.

Gauge-invariant formulation of axion-electrodynamics

2021 ◽  
Author(s):  
Stanley A. Bruce
Keyword(s):  
Dirac Fermion ◽  
Dirac Field ◽  
Gauge Invariant ◽  
Fermion Fields ◽  
Simple Generalization ◽  
Invariant Formulation ◽  
Em Field

In this paper, we propose a simple generalization of axion-electrodynamics (AED) for the general case in which Dirac fermion fields and scalar/pseudoscalar axion-like fields are present in the local [Formula: see text]([Formula: see text])[Formula: see text] gauge-invariant Lagrangian of the system. Our primary goal (which is not explored here) is to understand and predict novel phenomena that have no counterpart in standard (pseudoscalar) AED. With this end in view, we discuss on very general grounds, possible processes in which a Dirac field is coupled to axionic fields via the electromagnetic (EM) field.

scholarly journals Gauge-Invariant Formulation of Time-Dependent Configuration Interaction Singles Method

2018 ◽  
Vol 8 (3) ◽  
pp. 433 ◽  
Author(s):  
Takeshi Sato ◽  
Takuma Teramura ◽  
Kenichi Ishikawa
Keyword(s):  
Configuration Interaction ◽  
Time Dependent ◽  
Gauge Invariant ◽  
Invariant Formulation
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