Improving Euler-Heisenberg-Schwinger Effective Action with Dressed Photons

Evans, Stefan; Rafelski, Johann

doi:10.12693/aphyspola.143.s13

Cited by 3 publications

(1 citation statement)

References 18 publications

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“…It is also interesting to compare the nonlinear classical theory with the nonlinearity inherent in QED. We can compare the classical BI limiting field (at least the value calculated by Born and Infeld) to the field strength that appears in the Euler-Heisenberg-Schwinger effective Lagrangian of QED [16,24,25]…”

Section: Value Of the Limiting Field Constant Ementioning

confidence: 99%

Born-Infeld Nonlinear Electromagnetism in Relativistic Heavy Ion Collisions

2023

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We study the effect of the limiting field strength of Born-Infeld electromagnetism on the dynamics of charged particle scattering. We formulate the Born-Infeld limiting field in an invariant manner, showing that it is the electric field-dominated eigenvalue "a" of the field tensor F µν which is limited rather than the individual field vectors. Heavy ion collisions in particular provide uniquely large values of the field invariants that appear in the Born-Infeld action, amplifying nonlinear effects. Thus "a" is the dominant input into the force between heavy ions that we use to compute the scattering angle as a function of the impact parameter. We evaluate the Born-Infeld effects, showing relevance at small impact parameters and exhibiting their dependence on the value of the limiting field strength. topics: Born-Infeld electromagnetism, heavy-ion collisions, strong fields

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Section: Value Of the Limiting Field Constant Ementioning

confidence: 99%

Born-Infeld Nonlinear Electromagnetism in Relativistic Heavy Ion Collisions

2023

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Everlasting interaction: Polarization summation without a Landau pole

Evans,

Rafelski

2024

Phys. Rev. D

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We propose an external field approach to evaluating effective action allowing the interaction to act everywhere at all times (everlasting). Requiring that the asymptotic gauge fields are always interacting, we implement displacement fields encoding polarization corrections into the derivation of effective action. The result is a novel polarization summation for one-cut reducible loop diagrams, which can be applied to two cases: transient quasiconstant electromagnetic fields and everlasting interactions. In the first case, a perturbative expansion of our result recovers the Schwinger-Dyson reducible diagram series with a Landau pole. The everlasting summation evaluated in nonperturbative fashion removes the Landau pole, providing a new avenue for modeling strongly interacting theories. Published by the American Physical Society 2024

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Renormalization flow of nonlinear electrodynamics

Gies,

Schirrmeister

2024

Phys. Rev. D

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We study the renormalization flow of generic actions that depend on the invariants of the field strength tensor of an Abelian gauge field. While the Maxwell action defines a Gaussian fixed point, we search for further non-Gaussian fixed points or rather fixed functions, i.e., globally existing Lagrangians of the invariants. Using standard small-field expansion techniques for the resulting functional flow equation, a large number of fixed points is obtained, which—in analogy to recent findings for a shift-symmetric scalar field—we consider as approximation artifacts. For the construction of a globally existing fixed function, we pay attention to the use of proper initial conditions. Parametrizing the latter by the photon anomalous dimension, both the coefficients of the weak-field expansion are fully determined and those of the large-field expansion can be matched such that a global fixed function can be constructed for magnetic fields. The anomalous dimension also governs the strong-field limit. Our results provide evidence for the existence of a continuum of non-Gaussian fixed points parametrized by a small positive anomalous dimension below a critical value. We discuss the implications of this result within various scenarios with and without additional matter. For the strong-field limit of the 1PI QED effective action, where the anomalous dimension is determined by electronic fluctuations, our result suggests the existence of a singularity free strong-field limit, circumventing the standard conclusions connected to the perturbative Landau pole. Published by the American Physical Society 2024

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Improving Euler-Heisenberg-Schwinger Effective Action with Dressed Photons

Cited by 3 publications

References 18 publications

Born-Infeld Nonlinear Electromagnetism in Relativistic Heavy Ion Collisions

Born-Infeld Nonlinear Electromagnetism in Relativistic Heavy Ion Collisions

Everlasting interaction: Polarization summation without a Landau pole

Renormalization flow of nonlinear electrodynamics

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