On the trace anomaly of the energy-momentum tensor from the one-loop effective Lagrangian in QED

Dittrich, Walter; Sieber, Martin

doi:10.1088/0305-4470/21/13/007

Cited by 7 publications

(9 citation statements)

References 11 publications

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“…A better understanding of these remarks is achieved in QED by connecting T to the Dirac (electron-positron) condensate induced in the vacuum [20], which is directly related to the effective action…”

Section: Energy-momentum Tracementioning

confidence: 99%

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QED energy–momentum trace as a force in astrophysics

Labun

Rafelski

2010

Physics Letters B

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Section: Energy-momentum Tracementioning

confidence: 99%

“…with equality only approximate on account of the finite order expansions in T µν Eq. (20) and α Eq. (22).…”

Section: Particles In Overcritical Quasi-constant Fieldsmentioning

confidence: 99%

QED energy–momentum trace as a force in astrophysics

Labun

Rafelski

2010

Physics Letters B

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“…In QED the vacuum persistence is related to the imaginary part of the trace anomaly. 34 The Hawking radiation is related to the trace anomaly. 35 The vacuum persistence for the Hawking radiation is the gravitational anomalies.…”

Section: Resultsmentioning

confidence: 99%

Pair production, vacuum polarization and anomaly in (A)dS and charged black holes

Kim

2017

The Fourteenth Marcel Grossmann Meeting

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We explore the connection between the distribution of particles spontaneously produced from an electric field or black hole and the vacuum persistence, twice the imaginary part of the one-loop effective action. Employing the reconstruction conjecture, we find the effective action for the Bose-Einstein or Fermi-Dirac distribution. The Schwinger effect in AdS 2 is computed via the phase-integral method in the static coordinates. The Hawking radiation and Schwinger effect of a charged black hole is rederived and interpreted via the phase-integral. Finally, we discuss the relation between the vacuum persistence and the trace or gravitational anomalies.

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“…However, we do not believe that this result extends to the chiral limit m → 0. Guided by the case of a constant background field in D = 3 + 1 [35], we expect that the chiral condensate vanishes according to ψ ψ → m ln m for m → 0. As seen from Fig.…”

Section: Fermion Condensation In a Vortex Gasmentioning

confidence: 99%

Fermion-induced quantum action of vortex systems

Langfeld¹,

Moyaerts²,

Gies³

2002

Nuclear Physics B

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The quantum action generated by fermions which are minimally coupled to abelian vortex background fields is studied in D=2+1 and D=3+1 Euclidean dimensions. We present a detailed analysis of single- and binary-vortex configurations using the recently developed method of worldline numerics. The dependence of the fermion-induced quantum action on the fermion mass and the magnetic fluxes carried by the vortices is studied, and the binary-vortex interaction is computed. Additionally, we discuss the chiral condensate generated from a dilute gas of vortices in the intermediate fermion mass range for the case D=3+1. As a byproduct, our findings provide insight into the validity limits of the derivative expansion, which is the standard analytical approach to inhomogeneous backgrounds.Comment: 21 pages, 8 figure

show abstract

On the trace anomaly of the energy-momentum tensor from the one-loop effective Lagrangian in QED

Cited by 7 publications

References 11 publications

QED energy–momentum trace as a force in astrophysics

QED energy–momentum trace as a force in astrophysics

Pair production, vacuum polarization and anomaly in (A)dS and charged black holes

Fermion-induced quantum action of vortex systems

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