Exact self-consistent plane-symmetric solutions of the equations of two interacting fields (spinor field and scalar field)

1998 ◽  
Vol 41 (7) ◽  
pp. 672-678
Author(s):  
A. Adomu ◽  
G. N. Shikin
Keyword(s):  
Scalar Field ◽  
Spinor Field ◽  
Plane Symmetric ◽  
Self Consistent

LOCALIZATION OF MATTERS ON A NON-Z2-SYMMETRIC THICK BRANE

2010 ◽  
Vol 25 (07) ◽  
pp. 511-523
Author(s):  
JUN LIANG ◽  
YI-SHI DUAN
Keyword(s):  
Vector Field ◽  
Scalar Field ◽  
Yukawa Coupling ◽  
Spinor Field ◽  
Zero Mode ◽  
Parallel Transport ◽  
Type Coupling ◽  
Matter Fields

We study localization of various matter fields on a non-Z2-symmetric scalar thick brane in a pure geometric Weyl integrable manifold in which variations in the length of vectors during parallel transport are allowed and a geometric scalar field is involved in its formulation. It is shown that, for spin 0 scalar field, the massless zero mode can be normalized on the brane. Spin 1 vector field cannot be normalized on the brane. And there is no spinor field which can be trapped on the brane for the case of no Yukawa-type coupling. By introducing the appropriate Yukawa coupling, the left or right chiral fermionic zero mode can be localized on the brane.

scholarly journals Fermion localization in braneworld teleparallel f(T, B) gravity

2021 ◽  
Vol 81 (4) ◽  
Author(s):  
A. R. P. Moreira ◽  
J. E. G. Silva ◽  
C. A. S. Almeida
Keyword(s):  
Scalar Field ◽  
Yukawa Coupling ◽  
Spinor Field ◽  
Quantum Potential ◽  
Boundary Term ◽  
Dirac Spinor ◽  
Kaluza Klein ◽  
Fermion Localization

AbstractWe study a spin 1/2 fermion in a thick braneworld in the context of teleparallel f(T, B) gravity. Here, f(T, B) is such that $$f_1(T,B)=T+k_1B^{n_1}$$ f 1 ( T , B ) = T + k 1 B n 1 and $$f_2(T,B)=B+k_2T^{n_2}$$ f 2 ( T , B ) = B + k 2 T n 2 , where $$n_{1,2}$$ n 1 , 2 and $$k_{1,2}$$ k 1 , 2 are parameters that control the influence of torsion and the boundary term. We assume Yukawa coupling, where one scalar field is coupled to a Dirac spinor field. We show how the $$n_{1,2}$$ n 1 , 2 and $$k_{1,2}$$ k 1 , 2 parameters control the width of the massless Kaluza–Klein mode, the breadth of non-normalized massive fermionic modes and the properties of the analogue quantum-potential near the origin.

Field models

2021 ◽  
pp. 42-69
Author(s):  
Iosif L. Buchbinder ◽  
Ilya L. Shapiro
Keyword(s):  
Electromagnetic Field ◽  
Scalar Field ◽  
Spinor Field ◽  
Vector Fields ◽  
Sigma Model ◽  
Complex Scalar ◽  
Yang Mills ◽  
Scalar Field Models ◽  
Complex Scalar Field ◽  
Mills Field

This chapter provides constructions of Lagrangians for various field models and discusses the basic properties of these models. Concrete examples of field models are constructed, including real and complex scalar field models, the sigma model, spinor field models and models of massless and massive free vector fields. In addition, the chapter discusses various interactions between fields, including the interactions of scalars and spinors with the electromagnetic field. A detailed discussion of the Yang-Mills field is given as well.

Anisotropic plane symmetric model with massless scalar field

2020 ◽  
Author(s):  
D. D. Pawar ◽  
S. P. Shahare ◽  
Y. S. Solanke ◽  
V. J. Dagwal
Keyword(s):  
Scalar Field ◽  
Massless Scalar ◽  
Symmetric Model ◽  
Massless Scalar Field ◽  
Plane Symmetric

Some Remarks on Gravitational Interaction and Gravitational Waves

1965 ◽  
Vol 20 (4) ◽  
pp. 495-497
Author(s):  
G. Braunss
Keyword(s):  
Scalar Field ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Nonlinear Theory ◽  
Strong Interaction ◽  
Spinor Field ◽  
Gravitational Interaction ◽  
Metric Tensor ◽  
Free Wave

A brief consideration of the problem of gravitational waves is given on the basis of the following assumption: The components of the metric tensor are functionals of a field by which, in the sense of HEISENBERG’S nonlinear theory, all other fields resp. the corresponding interactions can be deduced. For the sake of mathematical simplicity a scalar field Φ (noncharged bosons) is considered instead of a spinor field. The condition gmn=gmn (Φ) resp. Rmn = Rmn (Φ) leads to the statement that the concept of a free gravitational wave, i. e. a wave which is a solution of Rmn=0 or Rklmn = 0, cannot be accepted. A free wave is here by definition a wave which is so far from the origin that one can neglect in the field eqs. all terms which represent a strong interaction. A comparison with a spinor field leads, with regard to this definition, to the conclusion that a free wave may be considered as a neutrino wave and gravitation as the weakest interaction possible of neutrino fields.

An exact nonghost solution for a plane‐symmetric cosmology containing a classical spinor field

1984 ◽  
Vol 25 (7) ◽  
pp. 2236-2239 ◽  
Author(s):  
Richard A. Matzner ◽  
Michael P. Ryan
Keyword(s):  
Spinor Field ◽  
Plane Symmetric
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