Magnetic permeability in constrained fermionic vacuum

M. V. Cougo-Pinto; C. Farina; A. Tort; J. Rafelski

doi:10.1016/S0370-2693(98)00683-2

Magnetic permeability in constrained fermionic vacuum

M. V. Cougo-Pinto
, C. Farina
, A. Tort
, J. Rafelski

Physics

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

9 Scopus citations

Abstract

We obtain using Schwinger's proper time approach the Casimir-Euler-Heisenberg effective action of fermion fluctuations for the case of an applied magnetic field. We implement here the compactification of one space dimension into a circle through anti-periodic boundary condition. Aside of higher order non-linear field effects we identify a novel contribution to the vacuum permeability. These contributions are exceedingly small for normal electromagnetism due to the smallness of the electron Compton wavelength compared to the size of the compactified dimension, if we take the latter as the typical size of laboratory cavities, but their presence is thought provoking, also considering the context of strong interactions.

Original language	English (US)
Pages (from-to)	388-395
Number of pages	8
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	434
Issue number	3-4
DOIs	https://doi.org/10.1016/S0370-2693(98)00683-2
State	Published - Aug 27 1998

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0370-2693(98)00683-2

Cite this

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title = "Magnetic permeability in constrained fermionic vacuum",

abstract = "We obtain using Schwinger's proper time approach the Casimir-Euler-Heisenberg effective action of fermion fluctuations for the case of an applied magnetic field. We implement here the compactification of one space dimension into a circle through anti-periodic boundary condition. Aside of higher order non-linear field effects we identify a novel contribution to the vacuum permeability. These contributions are exceedingly small for normal electromagnetism due to the smallness of the electron Compton wavelength compared to the size of the compactified dimension, if we take the latter as the typical size of laboratory cavities, but their presence is thought provoking, also considering the context of strong interactions.",

author = "Cougo-Pinto, \{M. V.\} and C. Farina and A. Tort and J. Rafelski",

note = "Funding Information: J.R. would like to thank E. Zavattini and C. Rizzo for stimulating discussions and continued interest in this work. M.V.C.-P. and C.F. would like to acknowledge CNPq (The National Research Council of Brazil) for partial financial support. J.R. acknowledges partial support by DOE, grant DE-FG03-95ER40937 .",

year = "1998",

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doi = "10.1016/S0370-2693(98)00683-2",

language = "English (US)",

volume = "434",

pages = "388--395",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

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publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Magnetic permeability in constrained fermionic vacuum

AU - Cougo-Pinto, M. V.

AU - Farina, C.

AU - Tort, A.

AU - Rafelski, J.

N1 - Funding Information: J.R. would like to thank E. Zavattini and C. Rizzo for stimulating discussions and continued interest in this work. M.V.C.-P. and C.F. would like to acknowledge CNPq (The National Research Council of Brazil) for partial financial support. J.R. acknowledges partial support by DOE, grant DE-FG03-95ER40937 .

PY - 1998/8/27

Y1 - 1998/8/27

N2 - We obtain using Schwinger's proper time approach the Casimir-Euler-Heisenberg effective action of fermion fluctuations for the case of an applied magnetic field. We implement here the compactification of one space dimension into a circle through anti-periodic boundary condition. Aside of higher order non-linear field effects we identify a novel contribution to the vacuum permeability. These contributions are exceedingly small for normal electromagnetism due to the smallness of the electron Compton wavelength compared to the size of the compactified dimension, if we take the latter as the typical size of laboratory cavities, but their presence is thought provoking, also considering the context of strong interactions.

AB - We obtain using Schwinger's proper time approach the Casimir-Euler-Heisenberg effective action of fermion fluctuations for the case of an applied magnetic field. We implement here the compactification of one space dimension into a circle through anti-periodic boundary condition. Aside of higher order non-linear field effects we identify a novel contribution to the vacuum permeability. These contributions are exceedingly small for normal electromagnetism due to the smallness of the electron Compton wavelength compared to the size of the compactified dimension, if we take the latter as the typical size of laboratory cavities, but their presence is thought provoking, also considering the context of strong interactions.

UR - https://www.scopus.com/pages/publications/0007133136

UR - https://www.scopus.com/pages/publications/0007133136#tab=citedBy

U2 - 10.1016/S0370-2693(98)00683-2

DO - 10.1016/S0370-2693(98)00683-2

M3 - Article

AN - SCOPUS:0007133136

SN - 0370-2693

VL - 434

SP - 388

EP - 395

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -

Magnetic permeability in constrained fermionic vacuum

Abstract

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