1
解説大学数学基礎
文献あり

【ゲージ理論】Kaluza-Klein理論の主要論文53選

125
0
$$$$

 文献[1] Modern Kaluza-Klein Thoeries には80年代ぐらいまでのKaluza-Klein理論の論文が53本収録されています。論文自体をここで公開することはできませんが、リストだけでも学習者には有用と思われるので記事にしたいと思いました。Kaluza-Klein理論の導入や各論文の解説(私が理解できるものだけ)もそのうち書きたいと思いますが、とりあえずリストだけまとめて公開します。どうぞ各自の勉強に使ってください。

Introduction

 そのうちKaluza-Klein理論の導入記事を書きます。

History

GUNNAR NORDSTRÖM
ON THE POSSIBILITY OF UNIFYING THE ELECTROMAGNETIC AND THE GRAVITATIONAL FIELDS
https://arxiv.org/pdf/physics/0702221.pdf

Kaluza
On the unity problem of physics
https://arxiv.org/pdf/1803.08616.pdf

Oskar Klein
QUANTUM THEORY AND FIVE-DIMENSIONAL RELATIVITY THEORY
https://www.worldscientific.com/doi/abs/10.1142/9789814571616_0006

Oskar Klein
The Atomicity of Electricity as a Quantum Theory Law
https://www.nature.com/articles/118516a0

A. Einstein and P. Bergmann
On a Generalization of Kaluza's Theory of Electricity
https://www.jstor.org/stable/1968642#metadata_info_tab_contents

M.Y.Thiry
Geometry - The equations of Kaluza's unified theory
https://inspirehep.net/literature/267427
(たぶんネットからアクセスできない)

Non-abelian generalizaiton

KERNER
Generalization of the Kaluza-Klein theory for an arbitrary non-abelian gauge group
http://www.numdam.org/article/AIHPA_1968__9_2_143_0.pdf

Cho, Freund
Non-Abelian gauge fields as Nambu-Goldstone fields
https://journals.aps.org/prd/abstract/10.1103/PhysRevD.12.1711

E.CremmerJ.Scherk
Spontaneous compactification of space in an Einstein-Yang-Mills-Higgs model
https://www.sciencedirect.com/science/article/abs/pii/0550321376902868

J.F.Luciani
Space-time geometry and symmetry breaking
https://www.sciencedirect.com/science/article/abs/pii/055032137890216X

Abdus Salam
On Kaluza-Klein theory
https://www.sciencedirect.com/science/article/abs/pii/0003491682902913

Supergravity

E.Cremmer, B.JuliaJ.Scherk
Supergravity in theory in 11 dimensions
https://www.sciencedirect.com/science/article/abs/pii/0370269378908948

E.Cremmer, B.Julia
The N = 8 supergravity theory. I. The lagrangian
https://www.sciencedirect.com/science/article/abs/pii/0370269378903039

Peter G.O.FreundMark A.Rubin
Dynamics of dimensional reduction
https://www.sciencedirect.com/science/article/abs/pii/0370269380905900

F.Englert
Spontaneous compactification of eleven-dimensional supergravity
https://www.sciencedirect.com/science/article/abs/pii/0370269382906840

I.BarsS.W.MacDowell
Gravity with extra gauge symmetry
https://www.sciencedirect.com/science/article/abs/pii/0370269383908389

B.Biran F.EnglertB.de WitH.Nicolai
Gauged N = 8 supergravity and its breaking from spontaneous compactification
https://www.sciencedirect.com/science/article/abs/pii/0370269383914004?via%3Dihub

A.Casher, F.Englert, H.Nicolai, M.Roomanc
The mass spectrum of supergravity on the round seven-sphere
https://www.sciencedirect.com/science/article/abs/pii/0550321384903924

M. A. Awada, M. J. Duff, and C. N. Pope
N=8 Supergravity Breaks Down to N=1
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.50.294

M. J. Duff, B. E. W. Nilsson, and C. N. Pope
Spontaneous Supersymmetry Breaking by the Squashed Seven-Sphere
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.50.2043

R.D'Auria, P.Fréab, P.van Nieuwenhuizen
Symmetry breaking in d = 11 supergravity on the parallelized seven-sphere
https://www.sciencedirect.com/science/article/abs/pii/0370269383906895

FezaGürseyChia-HsiungTze
Octonionic torsion on S7 and englert's compactification of d=11 supergravity
https://www.sciencedirect.com/science/article/abs/pii/0370269383908742

G.F.ChaplineN.S.Manton
Unification of Yang-Mills theory and supergravity in ten dimensions
https://www.sciencedirect.com/science/article/abs/pii/0370269383906330

D.Z.Freedman, G.W.Gibbons, P.C.West
Ten into four won't go
https://www.sciencedirect.com/science/article/abs/pii/0370269383915587?via%3Dihub

B.de Wit, H.Nicolai
A new SO(7) invariant solution of d = 11 supergravity
https://www.sciencedirect.com/science/article/abs/pii/0370269384916113

Towards a realistic Kaluza-Klein thoery

Edward Witten
Search for a realistic Kaluza-Klein theory
https://www.sciencedirect.com/science/article/abs/pii/0550321381900213

Cosmology

A.Chodos, S.Detweiler
Where has the fifth dimension gone?
http://www.physics.ufl.edu/~det/1980%20Chodos%20Det%20Where%20has%20the%20fifth%20dimension%20gone%20prd21-2167.pdf

Freund
Kaluza-Klein cosmologies
https://www.sciencedirect.com/science/article/abs/pii/0550321382901067

Enrique Alvarez and M. Belén Gavela
Entropy from Extra Dimensions
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.51.931

Q.Shafi, C.Wetterich
Cosmology from higher-dimensional gravity
https://www.sciencedirect.com/science/article/abs/pii/0370269383901259

Deshdeep Sahdev
Towards a realistic Kaluza-Klein cosmology
https://www.sciencedirect.com/science/article/abs/pii/037026938490220X

Edward W.Kolb, RichardSlansky
Dimensional reduction in the early universe: Where have the massive particles gone?
https://www.sciencedirect.com/science/article/abs/pii/0370269384902983

Kei-ichiMaeda
Is cosmological dimensional reduction possible?
https://www.sciencedirect.com/science/article/abs/pii/0370269384916575

S.Randjbar-Daemi, Abdus Salam, J.Strathdee
On Kaluza-Klein cosmology
https://www.sciencedirect.com/science/article/abs/pii/0370269384903009?via%3Dihub

Quantum effects

H.B.G. Casimir
On the attraction between two perfectly conducting plates.
https://dwc.knaw.nl/DL/publications/PU00018547.pdf

Thomas Appelquist and Alan Chodos
Quantum dynamics of Kaluza-Klein theories
https://journals.aps.org/prd/abstract/10.1103/PhysRevD.28.772

StevenWeinberg
Charges from extra dimensions
https://www.sciencedirect.com/science/article/abs/pii/0370269383912819

Mark A.RubinBernard D.Barkan Roth
Temperature effects in five-dimensional Kaluza-Klein theory
https://www.sciencedirect.com/science/article/abs/pii/0550321383902031

Philip Candelas, Steven Weinberg
Calculation of gauge couplings and compact circumferences from self-consistent dimensional reduction
https://www.sciencedirect.com/science/article/abs/pii/0550321384900014

Voronov N. A., Kogan Ya. I.
Spontaneous compaction in Kaluza-Klein models and the Casimir effect
http://www.jetpletters.ru/ps/1482/article_22617.pdf

G.W.GibbonsH.Nicolai
One-loop effects on the round seven-sphere
https://www.sciencedirect.com/science/article/abs/pii/0370269384908141

Takeo Inami, Kengo Yamagishi
Vanishing quantum vacuum energy in eleven-dimensional supergravity on the round seven-sphere
https://www.sciencedirect.com/science/article/abs/pii/0370269384908153

The problem of chiral Fermions

Edward Witten
FERMION QUANTUM NUMBERS IN KALUZA-KLEIN THEORY
https://www.ias.edu/sites/default/files/sns/%5B52%5DProc_Shelter_Is_II_1983.pdf

C.Wetterich
Dimensional reduction of fermions in generalized gravity
https://www.sciencedirect.com/science/article/abs/pii/055032138490405X

S.Randjbar-Daemi, Abdus Salam, J.Strathdee
Spontaneous compactification in six-dimensional Einstein-Maxwell theory
https://www.sciencedirect.com/science/article/abs/pii/055032138390247X

Steven Weinberg
Quasi-riemannian theories of gravitation in more than four dimensions
https://www.sciencedirect.com/science/article/abs/pii/0370269384918707

Murray Gell-Mann, Barton Zwiebach
Curling up two spatial dimensions with SU(1,1)/U(1)
https://www.sciencedirect.com/science/article/abs/pii/0370269384906038

Monopoles

Rafael D. Sorkin
Kaluza-Klein Monopole
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.51.87

David J.GrossMalcolm J.Perry
Magnetic monopoles in Kaluza-Klein theories
https://www.sciencedirect.com/science/article/abs/pii/0550321383904625

Malcolm J.Perry
Non-abelian Kaluza-Klein monopoles
https://www.sciencedirect.com/science/article/abs/pii/0370269384902247

Superstrings

Michael B.Green, John H.Schwarz
Supersymmetrical string theories
https://www.sciencedirect.com/science/article/abs/pii/0370269382911108

Michael B.Green, John H.Schwarz
Anomaly cancellations in supersymmetric D = 10 gauge theory and superstring theory
https://www.sciencedirect.com/science/article/abs/pii/037026938491565X

参考文献

[1]
Thomas Applequist, Chodos Alan, Modern Kaluza-Klein Theories
投稿日:20221211

投稿者

専門は相対論やLorentz幾何です。Einstein系の厳密解の構成や接触幾何の応用などの研究をしています。Ph.D保有者の中ではクソ雑魚の部類です。

この記事を高評価した人

高評価したユーザはいません

この記事に送られたバッジ

バッジはありません。

コメント

他の人のコメント

コメントはありません。
読み込み中...
読み込み中