THE GENERALIZED ANOMALY AND EFFECTIVE ACTION IN THE CHIRAL SCHWINGER MODEL

The one-parameter class of the non-minimal anomaly and effective action are derived by the path integral method using the one-parameter family of the Euclidean regularization operator in the Chiral Schwinger model. We show that the regularization dependence is related to the choice of the chiral operator in the calculation of the non-vanishing Jacobian.

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PATH-INTEGRAL DERIVATION OF ONE-PARAMETER DEPENDENT NONMINIMAL ANOMALIES AND EFFECTIVE ACTIONS IN SCHWINGER MODEL AND ITS VARIANTS

Modern Physics Letters A ◽

10.1142/s0217732388000246 ◽

1988 ◽

Vol 03 (02) ◽

pp. 201-214 ◽

Cited By ~ 3

Author(s):

S.H. YI ◽

D.K. PARK ◽

B.H. CHO

Keyword(s):

Path Integral ◽

Integral Method ◽

Parameter Family ◽

Schwinger Model ◽

Physical Role ◽

Regularization Operator ◽

Path Integral Method ◽

The One ◽

Parameter Dependent

The one-parameter dependent nonminimal anomalies and effective actions are derived by the path-integral method using the one-parameter family of Euclidean regularization operator in Schwinger model with vector, chiral, and chirally asymmetric couplings. We also investigate the factorizability of fermion determinant and the physical role of regularization ambiguity in chiral Schwinger model.

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THE CANONICAL PATH INTEGRAL QUANTIZATION OF CHIRAL SCHWINGER MODEL

Modern Physics Letters A ◽

10.1142/s0217732303011125 ◽

2003 ◽

Vol 18 (17) ◽

pp. 1187-1196 ◽

Cited By ~ 6

Author(s):

S. I. MUSLIH

Keyword(s):

Differential Equations ◽

Path Integral ◽

Integral Method ◽

Equation Of Motion ◽

Action Function ◽

Schwinger Model ◽

Integrability Conditions ◽

Total Differential ◽

Jacobi Formalism ◽

Path Integral Method

We quantize the chiral Schwinger model by using the Hamilton–Jacobi formalism. We show that one can obtain the integrable set of equation of motion and the action function by using the integrability conditions of total differential equations and without any need to introduce unphysical auxiliary fields. The path integral for this model is obtained by using the canonical path integral method.

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"SCHWINGER MODEL" ON THE FUZZY SPHERE

Modern Physics Letters A ◽

10.1142/s0217732310034079 ◽

2010 ◽

Vol 25 (37) ◽

pp. 3151-3167 ◽

Cited By ~ 3

Author(s):

E. HARIKUMAR

Keyword(s):

Partition Function ◽

Field Strength ◽

Dirac Operator ◽

Path Integral ◽

Integral Method ◽

Gauge Fields ◽

Fuzzy Sphere ◽

Schwinger Model ◽

Spinor Fields ◽

Path Integral Method

In this paper, we construct a model of spinor fields interacting with specific gauge fields on the fuzzy sphere and analyze the chiral symmetry of this "Schwinger model". In constructing the theory of gauge fields interacting with spinors on the fuzzy sphere, we take the approach that the Dirac operator Dq on the q-deformed fuzzy sphere [Formula: see text] is the gauged Dirac operator on the fuzzy sphere. This introduces interaction between spinors and specific one-parameter family of gauge fields. We also show how to express the field strength for this gauge field in terms of the Dirac operators Dq and D alone. Using the path integral method, we have calculated the 2n-point functions of this model and show that, in general, they do not vanish, reflecting the chiral non-invariance of the partition function.

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Double path integral method for obtaining the mobility of the one-dimensional charge transport in molecular chain

The European Physical Journal E ◽

10.1140/epje/i2015-15135-y ◽

2015 ◽

Vol 38 (12) ◽

Author(s):

Sikarin Yoo-Kong ◽

Watchara Liewrian

Keyword(s):

Charge Transport ◽

Path Integral ◽

Integral Method ◽

Molecular Chain ◽

One Dimensional ◽

Path Integral Method ◽

The One

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Gauge symmetry breaking in gravity and auxiliary effective action

International Journal of Modern Physics A ◽

10.1142/s0217751x17500269 ◽

2017 ◽

Vol 32 (04) ◽

pp. 1750026

Author(s):

Amin Akhavan

Keyword(s):

Gauge Symmetry ◽

Symmetry Breaking ◽

Path Integral ◽

Effective Action ◽

Integral Method ◽

Auxiliary Field ◽

Fundamental Field ◽

Gauge Fixing ◽

Path Integral Method ◽

Quantum Aspect

In the context of the covariant symmetry breaking in gravity, we study the quantum aspect of Chamseddine–Mukhanov model by making use of path integral method. Utilizing one of the gauge fixing constraints, we remove the specific ghost degree of freedom. In continuation, we define an auxiliary effective action. Introducing an auxiliary field, we will have a new dynamic field in addition to the fundamental field.

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