Asymptotic behavior of the elastic form factor in two-dimensional scalar field theory of the bag model

1976 ◽  
Vol 13 (2) ◽  
pp. 329-336 ◽  
Author(s):  
Vladimir Krapchev
Keyword(s):  
Field Theory ◽  
Asymptotic Behavior ◽  
Form Factor ◽  
Scalar Field ◽  
Two Dimensional ◽  
Elastic Form Factor ◽  
Scalar Field Theory ◽  
Bag Model ◽  
Elastic Form

scholarly journals COMPLEX q-ANALYSIS AND SCALAR FIELD THEORY ON A q-LATTICE

1994 ◽  
Vol 09 (12) ◽  
pp. 1121-1130 ◽  
Author(s):  
MARCELO R. UBRIACO
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Minkowski Space ◽  
Function Space ◽  
Laplace Equation ◽  
Difference Equations ◽  
Second Order ◽  
Inner Product ◽  
Two Dimensional ◽  
Scalar Field Theory

We develop the basic formalism of complex q-analysis to study the solutions of second order q-difference equations which reduce, in the q → 1 limit, to the ordinary Laplace equation in Euclidean and Minkowski space. After defining an inner product on the function space we construct and study the properties of the solutions, and then apply this formalism to the Schrödinger equation and two-dimensional scalar field theory.

scholarly journals Gravitation in Unified Scalar Field Theory

Universe ◽  
2021 ◽  
Vol 7 (1) ◽  
pp. 11
Author(s):  
Alexander A. Chernitskii
Keyword(s):  
Thin Film ◽  
Field Theory ◽  
Scalar Field ◽  
Field Model ◽  
Space Time ◽  
Two Dimensional ◽  
Scalar Field Theory ◽  
Fundamental Field ◽  
Practical Applications

The scalar field of space-time film is considered as unified fundamental field. The field model under consideration is the space-time generalization of the model for a two-dimensional thin film. The force and metrical interactions between solitons are considered. These interactions correspond to the electromagnetic and gravitational interactions respectively. The metrical interaction and its correspondence to the gravitational one are considered in detail. The practical applications of this approach are briefly discussed.

scholarly journals Casimir effect in Horava–Lifshitz-like theories

2015 ◽  
Vol 30 (36) ◽  
pp. 1550220 ◽  
Author(s):  
I. J. Morales Ulion ◽  
E. R. Bezerra de Mello ◽  
A. Yu. Petrov
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Boundary Conditions ◽  
Casimir Force ◽  
Casimir Effect ◽  
Lorentz Symmetry ◽  
Space Time ◽  
Two Dimensional ◽  
Parallel Plates ◽  
Scalar Field Theory

In this paper, we consider a Lorentz-breaking scalar field theory within the Horava–Lifshtz approach. We investigate the changes that a space–time anisotropy produces in the Casimir effect. A massless real quantum scalar field is considered in two distinct situations: between two parallel plates and inside a rectangular two-dimensional box. In both cases, we have adopted specific boundary conditions on the field at the boundary. As we shall see, the energy and the Casimir force strongly depends on the parameter associated with the breaking of Lorentz symmetry and also on the boundary conditions.

scholarly journals Gravitation in Unified Scalar Field Theory

2020 ◽  
Author(s):  
Alexander Chernitskii
Keyword(s):  
Thin Film ◽  
Field Theory ◽  
Scalar Field ◽  
Field Model ◽  
Space Time ◽  
Two Dimensional ◽  
Scalar Field Theory ◽  
Fundamental Field ◽  
Practical Applications

The scalar field of space-time film is considered as unified fundamental field. The field model under consideration is the space-time generalization of the model for a two-dimensional thin film. The force and metrical interactions between solitons are considered. These interactions correspond to the electromagnetic and gravitational interactions respectively. The metrical interaction and its correspondence to the gravitational one are considered in detail. The practical applications of this approach are discussed.

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