Derivative expansion for the one-loop effective Lagrangian in QED

V. P. Gusynin; I. A. Shovkovy

doi:10.1139/p96-044

Derivative expansion for the one-loop effective Lagrangian in QED

V. P. Gusynin, I. A. Shovkovy

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63 Scopus citations

Abstract

The derivative expansion of the one-loop effective Lagrangian in QED₄ is considered. The first term in such an expansion is the famous Schwinger result for a constant electromagnetic field. In this paper we give an explicit expression for the next term containing two derivatives of the field strength F_μv. The results are presented for both fermion and scalar electrodynamics. Some possible applications of an inhomogeneous external field are pointed out.

Original language	English (US)
Pages (from-to)	282-289
Number of pages	8
Journal	Canadian journal of physics
Volume	74
Issue number	5-6
DOIs	https://doi.org/10.1139/p96-044
State	Published - 1996
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1139/p96-044

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title = "Derivative expansion for the one-loop effective Lagrangian in QED",

abstract = "The derivative expansion of the one-loop effective Lagrangian in QED4 is considered. The first term in such an expansion is the famous Schwinger result for a constant electromagnetic field. In this paper we give an explicit expression for the next term containing two derivatives of the field strength Fμv. The results are presented for both fermion and scalar electrodynamics. Some possible applications of an inhomogeneous external field are pointed out.",

author = "Gusynin, {V. P.} and Shovkovy, {I. A.}",

year = "1996",

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AU - Shovkovy, I. A.

PY - 1996

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AB - The derivative expansion of the one-loop effective Lagrangian in QED4 is considered. The first term in such an expansion is the famous Schwinger result for a constant electromagnetic field. In this paper we give an explicit expression for the next term containing two derivatives of the field strength Fμv. The results are presented for both fermion and scalar electrodynamics. Some possible applications of an inhomogeneous external field are pointed out.

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Derivative expansion for the one-loop effective Lagrangian in QED

Abstract

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