Convergent perturbation theory and the strong-coupling limit in quantum electrodynamics

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Convergent perturbation theory and the strong-coupling limit in quantum electrodynamics. / Комарова, Марина Владимировна ; Налимов, Михаил Юрьевич.

In: Theoretical and Mathematical Physics, Vol. 216, No. 3, 01.09.2023, p. 1360–1372.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{a78f46117d6a46a892b79dc57f3dda92,

title = "Convergent perturbation theory and the strong-coupling limit in quantum electrodynamics",

abstract = "Abstract: The well-known formalism for constructing a convergent quantum field perturbation theory with a finite radius of convergence is modified to obtain convergent series in quantum electrodynamics. We prove that the constructed series converge and determine the radius of convergence. The convergent quantum field perturbation theory is used to study the strong-coupling limit in quantum electrodynamics and in the ϕ44 model of critical behavior. We obtain strong-coupling limits for the β -functions of the theories under study and confirm that the Landau pole in quantum electrodynamics does exist and is not an artifact of perturbation theory.",

keywords = "QED, convergent perturbation theory, quantum electrodynamics, quantum field perturbation theory, renormalization group, strong-coupling limit, β-function",

author = "Комарова, {Марина Владимировна} and Налимов, {Михаил Юрьевич}",

year = "2023",

month = sep,

day = "1",

doi = "10.1134/s0040577923090106",

language = "English",

volume = "216",

pages = "1360–1372",

journal = "Theoretical and Mathematical Physics (Russian Federation)",

issn = "0040-5779",

publisher = "Springer Nature",

number = "3",

}

RIS

TY - JOUR

T1 - Convergent perturbation theory and the strong-coupling limit in quantum electrodynamics

AU - Комарова, Марина Владимировна

AU - Налимов, Михаил Юрьевич

PY - 2023/9/1

Y1 - 2023/9/1

N2 - Abstract: The well-known formalism for constructing a convergent quantum field perturbation theory with a finite radius of convergence is modified to obtain convergent series in quantum electrodynamics. We prove that the constructed series converge and determine the radius of convergence. The convergent quantum field perturbation theory is used to study the strong-coupling limit in quantum electrodynamics and in the ϕ44 model of critical behavior. We obtain strong-coupling limits for the β -functions of the theories under study and confirm that the Landau pole in quantum electrodynamics does exist and is not an artifact of perturbation theory.

AB - Abstract: The well-known formalism for constructing a convergent quantum field perturbation theory with a finite radius of convergence is modified to obtain convergent series in quantum electrodynamics. We prove that the constructed series converge and determine the radius of convergence. The convergent quantum field perturbation theory is used to study the strong-coupling limit in quantum electrodynamics and in the ϕ44 model of critical behavior. We obtain strong-coupling limits for the β -functions of the theories under study and confirm that the Landau pole in quantum electrodynamics does exist and is not an artifact of perturbation theory.

KW - QED

KW - convergent perturbation theory

KW - quantum electrodynamics

KW - quantum field perturbation theory

KW - renormalization group

KW - strong-coupling limit

KW - β-function

UR - https://www.mendeley.com/catalogue/f96d4672-7cfe-3f9b-90d0-0f1cfa2c991f/

U2 - 10.1134/s0040577923090106

DO - 10.1134/s0040577923090106

M3 - Article

VL - 216

SP - 1360

EP - 1372

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 3

ER -

ID: 114696516