Guises and disguises of quadratic divergences

Cherchiglia, A. L.; Vieira, A. R.; Hiller, Brigitte; Scarpelli, A. P. Baêta; Sampaio, Marcos

doi:10.1016/j.aop.2014.10.002

Cited by 15 publications

(14 citation statements)

References 74 publications

(143 reference statements)

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“…Finally, we mention the works [19,20,21,22,23,24] where interesting physical issues related to quadratic divergences are analyzed from various points of view. · º¾ ¹½ º¾ ¹¾…”

Section: Discussionmentioning

confidence: 99%

Dimensional Regularization is Generic

Fujikawa

2016

New Physics at the Large Hadron Collider

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The absence of the quadratic divergence in the Higgs sector of the Standard Model in the dimensional regularization is usually regarded to be an exceptional property of a specific regularization. To understand what is going on in the dimensional regularization, we illustrate how to reproduce the results of the dimensional regularization for the λφ 4 theory in the more conventional regularization such as the higher derivative regularization; the basic postulate involved is that the quadratically divergent induced mass, which is independent of the scale change of the physical mass, is kinematical and unphysical. This is consistent with the derivation of the Callan-Symanzik equation, which is a comparison of two theories with slightly different masses, for the λφ 4 theory without encountering the quadratic divergence. We thus suggest that the dimensional regularization is generic in a bottom-up approach starting with a successful low-energy theory. We also define a modified version of the mass independent renormalization for a scalar field which leads to the homogeneous renormalization group equation. Implications of the present analysis on the Standard Model at high energies and the presence or absence of SUSY at LHC energies are briefly discussed.

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“…Finally, we mention the works [19,20,21,22,23,24] where interesting physical issues related to quadratic divergences are analyzed from various points of view. · º¾ ¹½ º¾ ¹¾…”

Section: Discussionmentioning

confidence: 99%

Dimensional Regularization is Generic

Fujikawa

2016

New Physics at the Large Hadron Collider

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“…Loop diagrams (d), (e), and (f) contribute only with quartic and quadratic divergences. Quadratic divergences for massless fields are made zero in dimensional regularization [47] and in implicit regularization [48]. Quartic divergences are unphysical in the sense that they do not contribute for physical quantities, like logarithmic divergences do when deriving the running of coupling constants, for instance.…”

Section: One-loop Correction To the Graviton Propagator And The Tracementioning

confidence: 99%

One-loop conformal anomaly in an implicit momentum space regularization framework

et al. 2015

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In this paper we consider matter fields in a gravitational background in order to compute the breaking of the conformal current at one-loop order. Standard perturbative calculations of conformal symmetry breaking expressed by the non-zero trace of the energy-momentum tensor have shown that some violating terms are regularization dependent, which may suggest the existence of spurious breaking terms in the anomaly. Therefore, we perform the calculation in a momentum space regularization framework in which regularization dependent terms are judiciously parametrized. We compare our results with those obtained in the literature and conclude that there is an unavoidable arbitrariness in the anomalous term R.

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“…Notice that since the supercurrent does not couple to any field in the Lagrangian, the anomaly does not spoil the renormalizability of the theory. The Ward identities (30) in terms of the Lorentz decomposition of the one-loop correction to the supercurrent (36) read…”

Section: Lorentz Decomposition Of the One-loop Correction To The mentioning

confidence: 99%

Supercurrent anomaly and gauge invariance in the N=1 supersymmetric Yang-Mills theory

et al. 2018

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We analyze Feynman diagram calculational issues related to the quantum breaking of supercurrent conservation in a supersymmetric non-Abelian Yang-Mills theory. For the sake of simplicity, we take a zero mass gauge field multiplet interacting with a massless Majorana spin-1=2 field in the adjoint representation of SUð2Þ. We shed light on a long-standing controversy regarding the perturbative evaluation of the supercurrent anomaly in connection with gauge and superconformal symmetry in different frameworks. We find that only superconformal symmetry is unambiguously broken using an invariant four dimensional regularization and compare with the triangle AVV anomaly. Subtleties related to momentum routing invariance in the loops of diagrams and Clifford algebra evaluation inside divergent integrals are also discussed in connection with finite and undetermined quantities in Feynman amplitudes.

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Guises and disguises of quadratic divergences

Cited by 15 publications

References 74 publications

Dimensional Regularization is Generic

Dimensional Regularization is Generic

One-loop conformal anomaly in an implicit momentum space regularization framework

Supercurrent anomaly and gauge invariance in the N=1 supersymmetric Yang-Mills theory

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