Coordinate-invariant regularization

1987 ◽  
Vol 178 (1) ◽  
pp. 186
Keyword(s):  
Invariant Regularization

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.

An invariant regularization of the standard model

1993 ◽  
Vol 309 (3-4) ◽  
pp. 344-350 ◽  
Author(s):  
S.A. Frolov ◽  
A.A. Slavnov
Keyword(s):  
Standard Model ◽  
The Standard Model ◽  
Invariant Regularization

scholarly journals PERTURBATIVE QUANTUM GAUGE FIELDS ON THE NONCOMMUTATIVE TORUS

2000 ◽  
Vol 15 (07) ◽  
pp. 1011-1029 ◽  
Author(s):  
THOMAS KRAJEWSKI ◽  
RAIMAR WULKENHAAR
Keyword(s):  
Gauge Fields ◽  
Infrared Singularity ◽  
Noncommutative Torus ◽  
Yang Mills ◽  
Free Theory ◽  
Feynman Rules ◽  
Perturbative Quantum ◽  
The One ◽  
Brs Symmetry ◽  
Invariant Regularization

Using standard field theoretical techniques, we survey pure Yang–Mills theory on the noncommutative torus, including Feynman rules and BRS symmetry. Although in general free of any infrared singularity, the theory is ultraviolet divergent. Because of an invariant regularization scheme, this theory turns out to be renormalizable and the detailed computation of the one-loop counterterms is given, leading to an asymptotically free theory. Besides, it turns out that nonplanar diagrams are overall convergent when θ is irrational.

On invariant regularization

1978 ◽  
Vol 35 (3) ◽  
pp. 534-538 ◽  
Author(s):  
A. A. Vladimirov
Keyword(s):  
Invariant Regularization
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