δexpansion for local gauge theories. ii. Nonperturbative calculation of the anomaly in the Schwinger model

1992 ◽  
Vol 45 (4) ◽  
pp. 1261-1275 ◽  
Author(s):  
Carl M. Bender ◽  
Kimball A. Milton ◽  
Moshe Moshe
Keyword(s):  
Gauge Theories ◽  
Schwinger Model ◽  
Local Gauge ◽  
Nonperturbative Calculation

Renormalization of non-abelian local gauge theories

1975 ◽  
Vol 5 (1) ◽  
pp. 29-107 ◽  
Author(s):  
G. Costa ◽  
M. Tonin
Keyword(s):  
Gauge Theories ◽  
Local Gauge

scholarly journals SUPERSPACE FORMULATION FOR THE BRST QUANTIZATION OF THE CHIRAL SCHWINGER MODEL

1998 ◽  
Vol 13 (03) ◽  
pp. 493-500 ◽  
Author(s):  
EVERTON M. C. ABREU ◽  
NELSON R. F. BRAGA
Keyword(s):  
Gauge Theories ◽  
Brst Quantization ◽  
Loop Order ◽  
Schwinger Model ◽  
Closed Algebra ◽  
Quantum Action

It has recently been shown that the field–antifield quantization of anomalous irreducible gauge theories with closed algebra can be represented in a BRST superspace where the quantum action at one loop order, including the Wess–Zumino term, and the anomalies show up as components of the same superfield. We show here how the Chiral Schwinger Model can be represented in this formulation.

scholarly journals THE EFFECT OF DIFFERENT REGULATORS IN THE NONLOCAL FIELD–ANTIFIELD QUANTIZATION

2000 ◽  
Vol 15 (08) ◽  
pp. 1207-1224 ◽  
Author(s):  
EVERTON M. C. ABREU
Keyword(s):  
Gauge Theories ◽  
Second Order ◽  
Schwinger Model ◽  
Nonlocal Field ◽  
Nonlocal Regularization ◽  
Made In

Recently it was shown how to regularize the Batalin–Vilkovisky (BV) field–antifield formalism of quantization of gauge theories with the nonlocal regularization (NLR) method. The objective of this work is to make an analysis of the behavior of this NLR formalism, connected to the BV framework, using two different regulators: a simple second order differential regulator and a Fujikawa-like regulator. This analysis has been made in the light of the well-known fact that different regulators can generate different expressions for anomalies that are related by a local counterterm, or that are equivalent after a reparametrization. This has been done by computing precisely the anomaly of the chiral Schwinger model.

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.

FIELD ALGEBRA, TOPOLOGICAL GAUGE CLASSES AND VACUUM STRUCTURE IN TWO-DIMENSIONAL GAUGE THEORIES WITH FERMIONIC QUARTIC-SELF INTERACTION

2004 ◽  
Vol 19 (14) ◽  
pp. 2331-2338
Author(s):  
L. V. BELVEDERE
Keyword(s):  
Gauge Theories ◽  
Two Dimensional ◽  
Unitary Operators ◽  
Field Algebra ◽  
Gauge Transformations ◽  
Local Gauge ◽  
Vacuum Structure

We analyze the field algebra, the unitary operators implementing local gauge transformations, the existence of inequivalent gauge classes and the vacuum structure of QED2 generalized to include Thirring-type interactions.

ON THE WESS-ZUMINO TERM FOR A GENERAL ANOMALOUS GAUGE THEORY WITH SECOND CLASS CONSTRAINTS

1990 ◽  
Vol 05 (06) ◽  
pp. 1123-1133 ◽  
Author(s):  
C. WOTZASEK
Keyword(s):  
Gauge Theory ◽  
Degrees Of Freedom ◽  
Gauge Theories ◽  
Vector Boson ◽  
Boson Field ◽  
Massive Vector ◽  
Schwinger Model ◽  
Working Out

We proposed an algorithm to modify anomalous gauge theories by inserting new degrees of freedom in the system which transforms the constraints from second to first class. We illustrate this technique working out the cases of a massive vector boson field and the chiral Schwinger model.

WEYL FERMION FUNCTIONAL INTEGRAL AND TWO-DIMENSIONAL GAUGE THEORIES

1990 ◽  
Vol 05 (14) ◽  
pp. 2839-2851
Author(s):  
J.L. ALONSO ◽  
J.L. CORTÉS ◽  
E. RIVAS
Keyword(s):  
Gauge Theory ◽  
Gauge Theories ◽  
Functional Integral ◽  
Integral Approach ◽  
Two Dimensional ◽  
Regularization Scheme ◽  
Schwinger Model ◽  
Left Handed ◽  
Definition Of ◽  
Weyl Fermion

In the path integral approach we introduce a general regularization scheme for a Weyl fermionic measure. This allows us to study the functional integral formulation of a two-dimensional U(1) gauge theory with an arbitrary content of left-handed and right-handed fermions. A particular result is that, in contrast with a regularization of the fermionic measure based on a unique Dirac operator, by taking the Dirac fermionic measure as a product of two independent Weyl fermionic measures a consistent and unitary result can be obtained for the Chiral Schwinger Model (CSM) as a byproduct of the arbitrariness in the definition of the fermionic measure.

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