Effective (2+1)-dimensional field theory of fermions: Fermion mass generation with Kaluza-Klein fermions and gauge field

V. Ch Zhukovsky; E. A. Stepanov

doi:10.1016/j.physletb.2012.10.039

Effective (2+1)-dimensional field theory of fermions: Fermion mass generation with Kaluza-Klein fermions and gauge field

V. Ch Zhukovsky, E. A. Stepanov

Moscow State University

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

Abstract

Generation of mass on two-dimensional brane in three-dimensional model with four-fermion interaction including external gauge field A ₃ is considered. In the framework of this model the generated mass proves to be lighter than Kaluza-Klein modes, thus indicating to a possibility of solving the mass hierarchy problem. Dependence of the effective potential and the coupling constant on characteristics of the model such as compactification radius, gauge field and phase shift parameter was also obtained. It is demonstrated that the generated mass, besides the dynamic part, includes also a kinematic (topological) contribution, i.e. the Aharonov-Bohm phase.

Original language	English
Pages (from-to)	597-602
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	718
Issue number	2
DOIs	https://doi.org/10.1016/j.physletb.2012.10.039
Publication status	Published - 5 Dec 2012
Externally published	Yes

Keywords

Aharonov-Bohm phase
Chiral condensate
Compactification
Kaluza-Klein model
Low-dimensional models
Mass hierarchy problem

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10.1016/j.physletb.2012.10.039

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title = "Effective (2+1)-dimensional field theory of fermions: Fermion mass generation with Kaluza-Klein fermions and gauge field",

abstract = "Generation of mass on two-dimensional brane in three-dimensional model with four-fermion interaction including external gauge field A 3 is considered. In the framework of this model the generated mass proves to be lighter than Kaluza-Klein modes, thus indicating to a possibility of solving the mass hierarchy problem. Dependence of the effective potential and the coupling constant on characteristics of the model such as compactification radius, gauge field and phase shift parameter was also obtained. It is demonstrated that the generated mass, besides the dynamic part, includes also a kinematic (topological) contribution, i.e. the Aharonov-Bohm phase.",

keywords = "Aharonov-Bohm phase, Chiral condensate, Compactification, Kaluza-Klein model, Low-dimensional models, Mass hierarchy problem",

author = "Zhukovsky, \{V. Ch\} and Stepanov, \{E. A.\}",

year = "2012",

month = dec,

day = "5",

doi = "10.1016/j.physletb.2012.10.039",

language = "English",

volume = "718",

pages = "597--602",

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

issn = "0370-2693",

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TY - JOUR

T1 - Effective (2+1)-dimensional field theory of fermions

T2 - Fermion mass generation with Kaluza-Klein fermions and gauge field

AU - Zhukovsky, V. Ch

AU - Stepanov, E. A.

PY - 2012/12/5

Y1 - 2012/12/5

N2 - Generation of mass on two-dimensional brane in three-dimensional model with four-fermion interaction including external gauge field A 3 is considered. In the framework of this model the generated mass proves to be lighter than Kaluza-Klein modes, thus indicating to a possibility of solving the mass hierarchy problem. Dependence of the effective potential and the coupling constant on characteristics of the model such as compactification radius, gauge field and phase shift parameter was also obtained. It is demonstrated that the generated mass, besides the dynamic part, includes also a kinematic (topological) contribution, i.e. the Aharonov-Bohm phase.

AB - Generation of mass on two-dimensional brane in three-dimensional model with four-fermion interaction including external gauge field A 3 is considered. In the framework of this model the generated mass proves to be lighter than Kaluza-Klein modes, thus indicating to a possibility of solving the mass hierarchy problem. Dependence of the effective potential and the coupling constant on characteristics of the model such as compactification radius, gauge field and phase shift parameter was also obtained. It is demonstrated that the generated mass, besides the dynamic part, includes also a kinematic (topological) contribution, i.e. the Aharonov-Bohm phase.

KW - Aharonov-Bohm phase

KW - Chiral condensate

KW - Compactification

KW - Kaluza-Klein model

KW - Low-dimensional models

KW - Mass hierarchy problem

U2 - 10.1016/j.physletb.2012.10.039

DO - 10.1016/j.physletb.2012.10.039

M3 - Article

AN - SCOPUS:84869867244

SN - 0370-2693

VL - 718

SP - 597

EP - 602

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 - 2

ER -

Effective (2+1)-dimensional field theory of fermions: Fermion mass generation with Kaluza-Klein fermions and gauge field

Abstract

Keywords

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