Energy-momentum-tensor trace anomaly in spin-1/2 quantum electrodynamics

Adler, Stephen L.; Collins, John C.; Duncan, Anthony

doi:10.1103/physrevd.15.1712

Cited by 258 publications

(280 citation statements)

References 29 publications

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“…These terms have the same coefficient, which illustrates the connection (2.9) between the strong-field limit of the one-loop effective Lagrangian and the one-loop β function. It also confirms the assumption [3] of massindependence of the strong-field limit, since in the m → 0 limit we can write 5) which guarantees that the limit m → 0 can be taken. This is important because the existence of a well-defined massless limit is a necessary prerequisite for the trace-anomaly argument described in Section IIA.…”

Section: One-loop Euler-heisenberg Lagrangian For a Self-dual Fieldsupporting

confidence: 69%

“…(5.4) into Eq. (5.3) leads us to 5) where the dots represent higher-loop contributions. Here we appended the subscript m to the β function in order to indicate the mass dependence.…”

Section: Discussionmentioning

confidence: 99%

“…Consider an abelian gauge field coupled to spinor or scalar matter fields, which are either explicitly massless or which have a well-defined massless limit. Then the trace anomaly for the energy-momentum tensor states that [4,5,6] …”

Section: Strong-field Limits and Beta Functions A General Argumentmentioning

confidence: 99%

“…Ritus derived this relation in the context of QED using the renormalization group, with the assumption that the strong-field limit of the renormalized effective Lagrangian is mass-independent [1,2,3]. Another, equivalent, derivation which invokes the scale anomaly [4,5,6] in a massless limit, has been given in various forms by many authors [7,8,9,10,11,12,13,14]. Also, other approaches have been developed for extracting the β function from the effective Lagrangian, using either the operator product expansion [15] or the worldline formalism [16].…”

Section: Introductionmentioning

confidence: 99%

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Zero modes, beta functions and IR/UV interplay in higher-loop QED

Dunne

Gies

Schubert

2002

J. High Energy Phys.

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We analyze the relation between the short-distance behavior of quantum field theory and the strong-field limit of the background field formalism, for QED effective Lagrangians in self-dual backgrounds, at both one and two loop. The self-duality of the background leads to zero modes in the case of spinor QED, and these zero modes must be taken into account before comparing the perturbative β function coefficients and the coefficients of the strong-field limit of the effective Lagrangian. At one-loop this is familiar from instanton physics, but we find that at two-loop the role of the zero modes, and the interplay between IR and UV effects in the renormalization, is quite different. Our analysis is motivated in part by the remarkable simplicity of the two-loop QED effective Lagrangians for a self-dual constant background, and we also present here a new independent derivation of these two-loop results.

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Section: One-loop Euler-heisenberg Lagrangian For a Self-dual Fieldsupporting

confidence: 69%

“…(5.4) into Eq. (5.3) leads us to 5) where the dots represent higher-loop contributions. Here we appended the subscript m to the β function in order to indicate the mass dependence.…”

Section: Discussionmentioning

confidence: 99%

Section: Strong-field Limits and Beta Functions A General Argumentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Zero modes, beta functions and IR/UV interplay in higher-loop QED

Dunne

Gies

Schubert

2002

J. High Energy Phys.

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“…means terms involving fermions and scalars. It is known [320] that the latter equation for θ µ µ is proportional to the beta-function times F µν F µν . Taking into account the constant of proportionality we conclude that β is indeed that the betafunction of the theory.…”

Section: The N = 2 Chiral Effective Actionmentioning

confidence: 99%

Introduction to Rigid Supersymmetric Theories

West

NATO Science Series: B:

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In these lectures we discuss the supersymmetry algebra and its irreducible representations. We construct the theories of rigid supersymmetry and gave their superspace formulations. The perturbative quantum properties of the extended supersymmetric theories are derived, including the superconformal invariance of a large class of these theories as well as the chiral effective action for N = 2 Yang-Mills theory. The superconformal transformations in four dimensional superspace are derived and encoded into one superconformal Killing superfield. It is also shown that the anomalous dimensions of chiral operators in a superconformal quantum field are related to their R weight.Some of this material follows the book of reference [0] by the author. Certain chapters of this book are reproduced, however, in other sections the reader is referred to the relevant parts of reference [0]. In this review, chapter 6 on superconformal theories and three sections of chapter 5 on flat directions, non-holomorphicity and the chiral effective action for N = 2 Yang-Mills theory are new material.The aim of the lectures is to provide the reader with the material required to understand more recent developments in the non-perturbative properties of quantum extended supersymmetric theories. ‡ This material is based on lectures presented at the Nato conference on "Confinement, Duality, and Nonperturbative Aspects of QCD", the Issac Newton Institute, Cambridge, UK and at the TASI 1998 Summer School, Boulder, Colorado, USA.

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Point-splitting Regularization of Composite Operators and Anomalies

Novotný

Schnabl

2000

Fortschr. Phys.

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The point-splitting regularization technique for composite operators is discussed in connection with anomaly calculation. We present a pedagogical and self-contained review of the topic with an emphasis on the technical details. We also develop simple algebraic tools to handle the path ordered exponential insertions used within the covariant and non-covariant version of the point-splitting method. The method is then applied to the calculation of the chiral, vector, trace, translation and Lorentz anomalies within diverse versions of the pointsplitting regularization and a connection between the results is described. As an alternative to the standard approach we use the idea of deformed point-split transformation and corresponding Ward-Takahashi identities rather than an application of the equation of motion, which seems to save the complexity of the calculations.

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Energy-momentum-tensor trace anomaly in spin-1/2 quantum electrodynamics

Abstract: We relate the energy-momentum-tensor trace anomaly in spin-1/2 quantum electrodynamics to the functions P(a), &(a) defined through the Callan-Symanzik equations, and prove finiteness of B,, when the anomaly is taken into account.

Cited by 258 publications

References 29 publications

Zero modes, beta functions and IR/UV interplay in higher-loop QED

Zero modes, beta functions and IR/UV interplay in higher-loop QED

Introduction to Rigid Supersymmetric Theories

Point-splitting Regularization of Composite Operators and Anomalies

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