Gravitation in Unified Scalar Field Theory

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.

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Gravitation in Unified Scalar Field Theory

10.20944/preprints202012.0264.v1 ◽

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

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Casimir effect in Horava–Lifshitz-like theories

International Journal of Modern Physics A ◽

10.1142/s0217751x15502206 ◽

2015 ◽

Vol 30 (36) ◽

pp. 1550220 ◽

Cited By ~ 10

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.

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From scalar field theories to supersymmetric quantum mechanics

Modern Physics Letters A ◽

10.1142/s0217732317500730 ◽

2017 ◽

Vol 32 (12) ◽

pp. 1750073 ◽

Cited By ~ 6

Author(s):

D. Bazeia ◽

F. S. Bemfica

Keyword(s):

Field Theory ◽

Quantum Mechanics ◽

Scalar Field ◽

Field Model ◽

Supersymmetric Quantum Mechanics ◽

Field Theories ◽

Quantum Mechanical ◽

Scalar Field Theory ◽

Scalar Field Model ◽

The Subject

In this work, we report a new result that appears when one investigates the route that starts from a scalar field theory and ends on a supersymmetric quantum mechanics. The subject has been studied before in several distinct ways and here, we unveil an interesting novelty, showing that the same scalar field model may describe distinct quantum mechanical problems.

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Quantisation of Lorentz invariant scalar field theory in non-commutative space-time and its consequence

Nuclear Physics B ◽

10.1016/j.nuclphysb.2021.115633 ◽

2022 ◽

Vol 974 ◽

pp. 115633

Author(s):

E. Harikumar ◽

Vishnu Rajagopal

Keyword(s):

Field Theory ◽

Scalar Field ◽

Space Time ◽

Scalar Field Theory ◽

Invariant Scalar ◽

Commutative Space

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

Modern Physics Letters A ◽

10.1142/s0217732394000939 ◽

1994 ◽

Vol 09 (12) ◽

pp. 1121-1130 ◽

Cited By ~ 7

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.

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