WARD IDENTITY FOR NONLOCAL QED

1998 ◽  
Vol 13 (05) ◽  
pp. 797-829 ◽  
Author(s):  
P. C. RAJE BHAGEERATHI ◽  
KURUVILLA EAPEN
Keyword(s):  
Ward Identity ◽  
Vertex Part ◽  
Gauge Invariant ◽  
Regularization Scheme ◽  
Usual Form ◽  
Nonlocal Regularization ◽  
Invariant Regularization

Evens et al.1 have given a gauge-invariant regularization scheme for QED which they have named nonlocal regularization. The present authors2 have worked out the QED vertex part in this scheme of regularization. In this paper we present a Ward identity for nonlocal QED to the order of two loops (order e4). In the limit of QED (Λ→∞), this identity reduces to the usual form of the Ward identity.

QED VERTEX PART IN NONLOCAL REGULARIZATION

1994 ◽  
Vol 09 (14) ◽  
pp. 1283-1290 ◽  
Author(s):  
P.C. RAJE BHAGEERATHI ◽  
KURUVILLA EAPEN
Keyword(s):  
Dimensional Regularization ◽  
Vertex Part ◽  
Gauge Invariant ◽  
Regularization Scheme ◽  
Nonlocal Regularization ◽  
Invariant Regularization

Evens et al.1 have given a gauge invariant regularization scheme for QED which they have named nonlocal regularization. We have evaluated the QED vertex part in this scheme of regularization. This result agrees with the expression obtained using dimensional regularization apart from numerical constants.

ONE-LOOP TOPOLOGICAL MASS IN QED2+1 WITHIN A BROAD CLASS OF GAUGE INVARIANT REGULARIZATION SCHEMES

1992 ◽  
Vol 07 (28) ◽  
pp. 2575-2582 ◽  
Author(s):  
J. NOVOTNÝ
Keyword(s):  
Broad Class ◽  
Dimensional Regularization ◽  
Mass Term ◽  
Explicit Calculation ◽  
Alternative Formulation ◽  
Gauge Invariant ◽  
Regularization Scheme ◽  
The One ◽  
Invariant Regularization ◽  
Topological Mass

An explicit calculation of the one-loop topological mass term within a broad class of gauge invariant regularization schemes developed recently is presented for (2+1)-dimensional QED. This provides an uniform description of the results obtained recently in the literature and an explanation of their regularization scheme dependence. The Pauli-Villars and dimensional regularization are discussed in more detail in this context and an alternative formulation of dimensional regularization in (2+1) dimensions is described.

scholarly journals ABELIAN ANOMALIES IN NONLOCAL REGULARIZATION

1994 ◽  
Vol 09 (26) ◽  
pp. 4549-4564 ◽  
Author(s):  
M.A. CLAYTON ◽  
L. DEMOPOULOS ◽  
J.W. MOFFAT
Keyword(s):  
Path Integral ◽  
Invariant Theory ◽  
Axial Anomaly ◽  
Regularization Scheme ◽  
Integral Measure ◽  
Nonlocal Regularization ◽  
Noether Current

The nonlocal regularization of QED is shown to possess an axial anomaly of the same form as other regularization schemes. The Noether current is explicitly constructed and the symmetries are shown to be violated, whereas the identities constructed when one properly considers the contribution from the path integral measure are respected. We also discuss the merits and new features of the regularization scheme, as well as the barrier to quantizing the fully gauged chiral-invariant theory.

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.

scholarly journals NONLOCAL REGULARIZATION OF ABELIAN MODELS WITH SPONTANEOUS SYMMETRY BREAKING

2001 ◽  
Vol 16 (17) ◽  
pp. 1117-1127 ◽  
Author(s):  
M. A. CLAYTON
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Form Factors ◽  
Original Formulation ◽  
Gauge Bosons ◽  
Gauge Invariant ◽  
Brst Invariance ◽  
Nonlocal Regularization

We demonstrate how nonlocal regularization is applied to gauge-invariant models with spontaneous symmetry breaking. Motivated by the ability to find a nonlocal BRST invariance that leads to the decoupling of longitudinal gauge bosons from physical amplitudes, we show that the original formulation of the method leads to a nontrivial relationship between the nonlocal form factors that can appear in the model.

scholarly journals Gauge-invariant four-gluon vertex and its Ward identity

1993 ◽  
Vol 47 (10) ◽  
pp. 4728-4738 ◽  
Author(s):  
Joannis Papavassiliou
Keyword(s):  
Ward Identity ◽  
Gauge Invariant ◽  
Gluon Vertex

Nonlocal Regularization and Renormalization of Sp(2) Symmetric BRST Theories

2003 ◽  
Vol 18 (31) ◽  
pp. 2217-2225
Author(s):  
V. Calian ◽  
G. Stoenescu
Keyword(s):  
Brst Quantization ◽  
Master Equations ◽  
Systematic Treatment ◽  
Regularization Scheme ◽  
Nonlocal Regularization

An extension of the nonlocal regularization scheme is formulated for the Sp(2) symmetric Lagrangian BRST quantization. It provides a systematic treatment of the anomalous quantum master equations and allows to subtract the divergences as well as to calculate genuine higher loop BRST and anti-BRST anomalies.

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