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.

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.

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 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

scholarly journals LOOP VARIABLES AND GAUGE-INVARIANT INTERACTIONS — II

2001 ◽  
Vol 16 (10) ◽  
pp. 1679-1701 ◽  
Author(s):  
B. SATHIAPALAN
Keyword(s):  
Scattering Amplitudes ◽  
String Theory ◽  
Gauge Transformation ◽  
Dimensional Reduction ◽  
Mass Shell ◽  
Bosonic String ◽  
Higher Dimension ◽  
Gauge Invariant ◽  
Gauge Transformations ◽  
Variable Approach

We continue the discussion of our previous paper on writing down gauge-invariant interacting equations for a bosonic string using the loop variable approach. In the earlier paper the equations were written down in one higher dimension where the fields are massless. In this paper we describe a procedure for dimensional reduction that gives interacting equations for fields with the same spectrum as in bosonic string theory. We also argue that the on-shell scattering amplitudes implied by these equations for the physical modes are the same as for the bosonic string. We check this explicitly for some of the simpler equations. The gauge transformation of space–time fields induced by gauge transformations of the loop variables are discussed in some detail. The unintegrated (i.e. before the Koba–Nielsen integration), regularized version of the equations, are gauge invariant off-shell (i.e. off the free mass shell).

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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