scholarly journals Higher covariant derivative regulators and non-multiplicative renormalization

1995 ◽  
Vol 343 (1-4) ◽  
pp. 218-224 ◽  
Author(s):  
C.P. Martin ◽  
F. Ruiz Ruiz
Keyword(s):  
Covariant Derivative ◽  
Higher Covariant Derivative ◽  
Multiplicative Renormalization

scholarly journals REGULARIZATION AMBIGUITY PROBLEM FOR THE CHERN–SIMONS SHIFT

1998 ◽  
Vol 13 (27) ◽  
pp. 2231-2237 ◽  
Author(s):  
KOH-ICHI NITTOH ◽  
TORU EBIHARA
Keyword(s):  
Covariant Derivative ◽  
Suitable Choice ◽  
Higher Covariant Derivative ◽  
Chern Simons

We consider the Chern–Simons parameter shift with the hybrid regularization consisting of the higher covariant derivative (HCD) and the Pauli–Villars (PV) regulators. We show that the shift is closely related to the parity of the regulators and get the shift and no-shift results by a suitable choice of the PV regulators. A naive treatment of the HCD term leads to incorrect value of the shift.

scholarly journals CONSISTENCY OF THE HYBRID REGULARIZATION WITH HIGHER COVARIANT DERIVATIVE AND INFINITELY MANY PAULI–VILLARS

2001 ◽  
Vol 16 (22) ◽  
pp. 3755-3783
Author(s):  
KOH-ICHI NITTOH
Keyword(s):  
Covariant Derivative ◽  
Vacuum Polarization ◽  
Gauge Theories ◽  
Polarization Tensor ◽  
Logarithmic Divergence ◽  
Yang Mills ◽  
Higher Covariant Derivative ◽  
Group Functions ◽  
Supersymmetric Gauge ◽  
Vacuum Polarization Tensor

We study the regularization and renormalization of the Yang–Mills theory in the framework of the manifestly invariant formalism, which consists of a higher covariant derivative with an infinitely many Pauli–Villars fields. Unphysical logarithmic divergence, which is the problematic point on the Slavnov method, does not appear in our scheme, and the well-known value of the renormalization group functions are derived. The cancellation mechanism of the quadratic divergence is also demonstrated by calculating the vacuum polarization tensor of the order of Λ0 and Λ-4. These results are the evidence that our method is valid for intrinsically divergent theories and is expected to be available for the theory which contains the quantity depending on the space–time dimensions, like supersymmetric gauge theories.

scholarly journals A NOTE ON THE QUADRATIC DIVERGENCE IN HYBRID REGULARIZATION

2000 ◽  
Vol 15 (15) ◽  
pp. 955-963 ◽  
Author(s):  
KOH-ICHI NITTOH
Keyword(s):  
Covariant Derivative ◽  
Regularization Method ◽  
Explicit Calculation ◽  
Yang Mills ◽  
Higher Derivative ◽  
Higher Covariant Derivative

We consider the quadratic divergence of the Yang–Mills theory when we use the hybrid regularization method consisting of higher covariant derivative terms and the Pauli–Villars fields. By explicit calculation of the diagrams, we show that the higher derivative terms for the ghost fields are necessary for the complete cancellation of the quadratic divergence.

scholarly journals HIGHER COVARIANT DERIVATIVE REGULARIZATION REVISITED

1996 ◽  
Vol 11 (19) ◽  
pp. 1539-1554 ◽  
Author(s):  
T.D. BAKEYEV ◽  
A.A. SLAVNOV
Keyword(s):  
Covariant Derivative ◽  
Gauge Theories ◽  
New Approach ◽  
Higher Covariant Derivative

The method of higher covariant derivative regularization of gauge theories is reviewed. The objections raised in the literature last few years are discussed and the consistency of the method is proven. New approach to regularization of overlapping divergencies is developed.

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