Large N external-field quantum electrodynamics

Karbstein, Felix

doi:10.1007/jhep01(2022)057

Cited by 8 publications

(8 citation statements)

References 25 publications

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“…This matches the expectations of an effective field theory point of view: the latter naturally assumes that the couplings are evaluated at the relevant momentum scale, which -in the considered limit -is the renormalisation group invariant combination e √ −S. See [510] for a prospective route towards insights into the manifestly non-perturbative parameter regime of L HE beyond a perturbative loop expansion, and field strengths beyond the Landau pole for which Eq. ( 139) diverges.…”

Section: Weak and Strong Field Limitssupporting

confidence: 72%

“…It would certainly be very interesting and important to advance the study of higher loop orders of L HE from lower [496] to 3 + 1 space-time dimensions, particularly by using resummation and resurgence techniques [337]. Another topical research direction is to put forward strategies to go beyond the loop expansion [510] and so obtain insights into the manifestly non-perturbative parameter regime, where such an expansion no longer makes sense.…”

Section: Light-by-light Scatteringmentioning

confidence: 99%

“…Examples of successful application of these equations in similar problems include magnetic catalysis of spontaneous chiral symmetry breaking [1098] and development of non-perturbative results using 1/N f expansion [1099,1100] (for application of the latter approach to all-order resummation of reducible contributions to the Heisenberg-Euler effective action see Ref. [510]). As a necessary prerequisite for formulating DS equations explicitly in a CCF, a general form of off-shell tensor and gamma-matrix structure of the mass and vacuum polarisation corrections was discussed in [840].…”

Section: The Ritus-narozhny Conjecturementioning

confidence: 99%

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Advances in QED with intense background fields

Fedotov¹,

Ilderton²,

Karbstein³

et al. 2022

Preprint

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Upcoming and planned experiments combining increasingly intense lasers and energetic particle beams will access new regimes of nonlinear, relativistic, quantum effects. This improved experimental capability has driven substantial progress in QED in intense background fields. We review here the advances made during the last decade, with a focus on theory and phenomenology. As ever higher intensities are reached, it becomes necessary to consider processes at higher orders in both the number of scattered particles and the number of loops, and to account for non-perturbative physics (e.g. the Schwinger effect), with extreme intensities requiring resummation of the loop expansion. In addition to increased intensity, experiments will reach higher accuracy, and these improvements are being matched by developments in theory such as in approximation frameworks, the description of finite-size effects, and the range of physical phenomena analysed. Topics on which there has been substantial progress include: radiation reaction, spin and polarisation, nonlinear quantum vacuum effects and connections to other fields including physics beyond the Standard Model.

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Section: Weak and Strong Field Limitssupporting

confidence: 72%

Section: Light-by-light Scatteringmentioning

confidence: 99%

Section: The Ritus-narozhny Conjecturementioning

confidence: 99%

See 1 more Smart Citation

Advances in QED with intense background fields

Fedotov¹,

Ilderton²,

Karbstein³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…This matches the expectations of an effective field theory point of view: the latter naturally assumes that the couplings are evaluated at the relevant momentum scale, which -in the considered limit -is the renormalisation group invariant combination e √ −S. See [521] for a prospective route towards insights into the manifestly non-perturbative parameter regime of L HE beyond a perturbative loop expansion, and field strengths beyond the Landau pole for which Eq. ( 141) diverges.…”

Section: -Loop Hesupporting

confidence: 72%

“…It would certainly be very interesting and important to advance the study of higher loop orders of L HE from lower [507] to 3 + 1 space-time dimensions, particularly by using resummation and resurgence techniques [348]. Another topical research direction is to put forward strategies to go beyond the loop expansion [521] and so obtain insights into the manifestly non-perturbative parameter regime, where such an expansion no longer makes sense.…”

Section: Light-by-light Scatteringmentioning

confidence: 99%

Advances in QED with intense background fields

et al. 2023

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Towards the full Heisenberg-Euler effective action at large N

Karbstein

2024

J. High Energ. Phys.

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We study the Heisenberg-Euler effective action in constant electromagnetic fields $$ \overline{F} $$ F ¯ for QED with N charged particle flavors of the same mass and charge e in the large N limit characterized by sending N → ∞ while keeping Ne2 ∼ $$ e\overline{F} $$ e F ¯ ∼ N0 fixed. This immediately implies that contributions that scale with inverse powers of N can be neglected and the resulting effective action scales linearly with N . Interestingly, due to the presence of one-particle reducible diagrams, even in this limit the Heisenberg-Euler effective action receives contributions of arbitrary loop order. In particular for the special cases of electric- and magnetic-like field configurations we construct an explicit expression for the associated effective Lagrangian that, upon extremization for two constant scalar coefficients, allows to evaluate its full, all-order result at arbitrarily large field strengths. We demonstrate that our manifestly nonperturbative expression correctly reproduces the known results for the Heisenberg-Euler effective action at large N , namely its all-loop strong field limit and its low-order perturbative expansion in powers of the fine-structure constant.

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Large N external-field quantum electrodynamics

Cited by 8 publications

References 25 publications

Advances in QED with intense background fields

Advances in QED with intense background fields

Advances in QED with intense background fields

Towards the full Heisenberg-Euler effective action at large N

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