Perturbation Lagrangian Theory for Scalar Fields-Ward-Takahashi Identity and Current Algebra

Lam, Yuk‐Ming P.

doi:10.1103/physrevd.6.2145

Cited by 143 publications

(132 citation statements)

References 18 publications

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“…In order to control the renormalization aspects of the problem, independently of the particular scheme being used, we assume that the quantum action principles [16,17,18,19,20] hold and follow the algebraic approach pioneered in [21,22,23,24] (for reviews, see e.g. [25,26]).…”

Section: Introductionmentioning

confidence: 99%

Gauge dependence of effective action and renormalization group functions

Barnich

Grassi

2000

Phys. Rev. D

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The Caswell-Wilczek analysis on the gauge dependence of the effective action and the renormalization group functions in Yang-Mills theories is generalized to generic, possibly power counting non renormalizable gauge theories. It is shown that the physical coupling constants of the classical theory can be redefined by gauge parameter dependent contributions of higher orders inh in such a way that the effective action depends trivially on the gauge parameters, while suitably defined physical beta functions do not depend on those parameters.

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Section: Introductionmentioning

confidence: 99%

Gauge dependence of effective action and renormalization group functions

Barnich

Grassi

2000

Phys. Rev. D

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“…(QAP) [14][15][16]. These theorems deal with the whole of Feynman graphs combinatorics and integrability, so that explicit graph considerations are unnecessary -unless one looks for explicit quantitative results for applications to physics, of course.…”

Section: Jhep11(2017)011mentioning

confidence: 99%

No radiative generation of Chern-Simons-like term in Lorentz-violating QED: dealing with IR divergences

Cima

Franco

Piguet

2017

J. High Energ. Phys.

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Abstract:The issue intensively claimed in the literature on the generation of a CPTodd and Lorentz violating Chern-Simons-like term by radiative corrections owing to a CPT violating interaction -the axial coupling of fermions with a constant vector field b µ -is mistaken. The presence of massless gauge field triggers IR divergences that might show up from the UV subtractions, therefore, so as to deal with the (actual physical) IR divergences, the Lowenstein-Zimmermann subtraction scheme, in the framework of BPHZL renormalization method, has to be adopted. The proof on the non generation of such a Chern-Simons-like term is done, independent of any kind of regularization scheme, at all orders in perturbation theory.

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“…by a quantum breaking A which, according to the Quantum Action Principle [7,8,9,10,11], at the lowest nonvanishing order inh, is a local integrated functional with canonical dimensions 2 and Faddeev-Popov charge +1…”

Section: Anomalymentioning

confidence: 99%

“…Of course those tools are normally applied in an environment where locality, power counting and the Quantum Action Principle [7,8,9,10,11] also hold true; we might call it a traditional reference frame. In the study of the noncommutative extensions of a standard quantum field theory model, is a matter of personal choice how much we should adhere to this traditional reference frame.…”

Section: Introductionmentioning

confidence: 99%

Noncommutative two-dimensional BF model

2006

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:We consider the noncommutative extension of the BF theory in two spacetime dimensions. We show that the introduction of the noncommutative parameter θ µν , already at first order in the analytical sector, induces infinitely many terms in the quantum extension of the model. This clashes with the commonly accepted rules of QFT, and we believe that this problem is not peculiar to this particular model, but it might concern the noncommutative extension of any ordinary quantum field theory obtained via the Moyal prescription. A detailed study of noncommutative anomalies is also presented.

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Perturbation Lagrangian Theory for Scalar Fields-Ward-Takahashi Identity and Current Algebra

Cited by 143 publications

References 18 publications

Gauge dependence of effective action and renormalization group functions

Gauge dependence of effective action and renormalization group functions

No radiative generation of Chern-Simons-like term in Lorentz-violating QED: dealing with IR divergences

Noncommutative two-dimensional BF model

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