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

2012 ◽  
Vol 718 (2) ◽  
pp. 597-602 ◽  
Author(s):  
V.Ch. Zhukovsky ◽  
E.A. Stepanov
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Fermion Mass ◽  
Mass Generation ◽  
Kaluza Klein

MONOPOLES ARE NOT AN INEVITABLE CONSEQUENCE OF THE GRAND UNIFICATION

1988 ◽  
Vol 03 (14) ◽  
pp. 1379-1384
Author(s):  
N.V. KRASNIKOV
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Special Kind ◽  
Unified Model ◽  
Grand Unification ◽  
Gauge Field Theory ◽  
Pure Gauge ◽  
Kaluza Klein

We give an example of the grand unified model without monopoles which arises in Kaluza-Klein compactification of a pure gauge field theory of the special kind.

A GEOMETRIC FIELD THEORY OF CLOSED STRINGS: D=4, N=1 LOOP SUPERGRAVITY

1990 ◽  
Vol 05 (09) ◽  
pp. 1819-1832
Author(s):  
Leonardo Castellani
Keyword(s):  
Field Theory ◽  
Classical Field Theory ◽  
Energy Limit ◽  
Field Equations ◽  
Mass Generation ◽  
Infinite Dimensional ◽  
Internal Loop ◽  
Higher Spin ◽  
Spin Fields ◽  
Kaluza Klein

We present a classical field theory of interacting loops, whose low energy limit is D=4, N=1 supergravity. In Fourier modes, the theory is obtained by gauging the infinite dimensional algebra KM (SuperPoincaré) ⊕ Virasoro, where KM indicates the Kac-Moody extension. Taylor expanding the superloop vielbein in the “internal” coordinates yields towers of D=4 fields with arbitrarily high spins. The superloop diffeomorphisms relate all the higher spin fields. The field equations are obtained by requiring the closure of the generalized supersymmetries. Two different mechanisms give rise to masses for the higher modes: (i) a Kaluza-Klein type mass generation from “internal” loop coordinates, (ii) a non-vanishing background value for the zero mode of the Virasoro gauge field.

scholarly journals Monopole in the Dilatonic Gauge Field Theory

2000 ◽  
Vol 53 (5) ◽  
pp. 653
Author(s):  
D. Karczewska ◽  
R. Manka
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Extra Dimensions ◽  
Numerical Study ◽  
Large Extra Dimensions ◽  
Gauge Field Theory ◽  
Spherically Symmetric ◽  
Dilaton Field ◽  
Klein Theory ◽  
Kaluza Klein

A numerical study of static, spherically symmetric monopole solutions coupled to the dilaton field, inspired by the Kaluza–Klein theory with large extra dimensions is presented. The generalised Prasad?Sommerfield solution is obtained. We show that the monopole may also have the dilaton cloud configurations.

scholarly journals The geometry, branes and applications of exceptional field theory

2020 ◽  
Vol 35 (30) ◽  
pp. 2030014
Author(s):  
David S. Berman ◽  
Chris Blair
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Degrees Of Freedom ◽  
Lie Symmetries ◽  
Geometric Symmetry ◽  
Klein Theory ◽  
M Theory ◽  
Kaluza Klein ◽  
Riemannian Spaces

This is a review of exceptional field theory: a generalisation of Kaluza–Klein theory that unifies the metric and [Formula: see text]-form gauge field degrees of freedom of supergravity into a generalised or extended geometry, whose additional coordinates may be viewed as conjugate to brane winding modes. This unifies the maximal supergravities, treating their previously hidden exceptional Lie symmetries as a fundamental geometric symmetry. Duality orbits of solutions simplify into single objects, that in many cases have simple geometric interpretations, for instance as wave or monopole-type solutions. It also provides a route to explore exotic or nongeometric aspects of M-theory, such as exotic branes, [Formula: see text]-folds, and more novel sorts of non-Riemannian spaces.

scholarly journals DYNAMICAL FERMION MASSES UNDER THE INFLUENCE OF KALUZA–KLEIN FERMIONS AND A BULK ABELIAN GAUGE FIELD

2010 ◽  
Vol 25 (35) ◽  
pp. 2933-2945 ◽  
Author(s):  
D. EBERT ◽  
V. CH. ZHUKOVSKY ◽  
A. V. TYUKOV
Keyword(s):  
Gauge Field ◽  
Effective Potential ◽  
Dynamical Variable ◽  
Fermion Mass ◽  
Coupling Constant ◽  
Mass Generation ◽  
Abelian Gauge ◽  
Fifth Dimension ◽  
Fermion Masses ◽  
The Masses

The dynamical fermion mass generation on the 3-brane in the 5D spacetime is discussed in a model with bulk fermions in interaction with fermions on the branes assuming the presence of a constant Abelian gauge field A5 in the bulk. We calculate the effective potential as a function of the fermion masses and the gauge field A5. The masses can be found from the stationarity condition for the effective potential (the gap equation). We formulate the equation for the mass spectrum of the 4D-fermions. The phases with finite and vanishing fermion masses are studied and the dependence of the masses on the radius of the fifth dimension is analyzed. The influence of the A5-gauge field on the symmetry breaking is considered both when this field is a background parameter and a dynamical variable. The critical values of the A5 field, the coupling constant and the radius are examined.

scholarly journals DYNAMICAL FERMION MASSES UNDER THE INFLUENCE OF KALUZA–KLEIN FERMIONS IN EXTRA DIMENSIONS

2000 ◽  
Vol 15 (06) ◽  
pp. 445-454 ◽  
Author(s):  
HIROYUKI ABE ◽  
HIRONORI MIGUCHI ◽  
TAIZO MUTA
Keyword(s):  
Extra Dimensions ◽  
Critical Radius ◽  
Dimensional Space ◽  
Fermion Mass ◽  
Mass Generation ◽  
Fermion Masses ◽  
The Masses ◽  
Kaluza Klein

The dynamical fermion mass generation in the four-dimensional brane is discussed in a model with five-dimensional Kaluza–Klein fermions in interaction with four-dimensional fermions. It is found that the dynamical fermion masses are generated beyond the critical radius of the compactified extra dimensional space and may be made small compared with the masses of the Kaluza–Klein modes.

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