Asymptotics of the evolution semigroup associated with a scalar field in the presence of a non-linear electromagnetic field

2018 ◽  
Vol 59 (4) ◽  
pp. 042301
Author(s):  
Sergio Albeverio ◽  
Hiroshi Tamura
Keyword(s):  
Electromagnetic Field ◽  
Scalar Field ◽  
Evolution Semigroup ◽  
Non Linear

The Hydrogen Bond

2015 ◽  
Vol 1 (2) ◽  
Author(s):  
Marc Henry
Keyword(s):  
Hydrogen Bond ◽  
Electromagnetic Field ◽  
Quantum Theory ◽  
Quantum Physics ◽  
Energy Levels ◽  
Strong Association ◽  
Emergent Property ◽  
Water Molecules ◽  
Linear Coupling ◽  
Non Linear

The claim that chemistry has been explained in terms of quantum theory is received wisdom. Yet quantum physics is unable to explain the strong association of water molecules in liquid or ice. Marc Henry suggests the hydrogen bond is an emergent property of matter resulting from a non-linear coupling between quantified energy levels of water molecules and a quantified internal electromagnetic field.

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.

scholarly journals A class of solitons in Maxwell-scalar and Einstein–Maxwell-scalar models

2020 ◽  
Vol 80 (1) ◽  
Author(s):  
Carlos A. R. Herdeiro ◽  
João M. S. Oliveira ◽  
Eugen Radu
Keyword(s):  
Electromagnetic Field ◽  
Scalar Field ◽  
Quantum Gravity ◽  
Exact Solutions ◽  
Point Charge ◽  
Coulomb Field ◽  
Specific Class ◽  
Minimal Coupling ◽  
Flat Spacetime ◽  
Physical Quantities

AbstractRecently, no-go theorems for the existence of solitonic solutions in Einstein–Maxwell-scalar (EMS) models have been established (Herdeiro and Oliveira in Class Quantum Gravity 36(10):105015, 2019). Here we discuss how these theorems can be circumvented by a specific class of non-minimal coupling functions between a real, canonical scalar field and the electromagnetic field. When the non-minimal coupling function diverges in a specific way near the location of a point charge, it regularises all physical quantities yielding an everywhere regular, localised lump of energy. Such solutions are possible even in flat spacetime Maxwell-scalar models, wherein the model is fully integrable in the spherical sector, and exact solutions can be obtained, yielding an explicit mechanism to de-singularise the Coulomb field. Considering their gravitational backreaction, the corresponding (numerical) EMS solitons provide a simple example of self-gravitating, localised energy lumps.

Classical electrodynamics: the equation of motion

1974 ◽  
Vol 76 (1) ◽  
pp. 359-367 ◽  
Author(s):  
P. A. Hogan
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
Scalar Field ◽  
World Line ◽  
External Electromagnetic Field ◽  
Equation Of Motion ◽  
The Self ◽  
Classical Electrodynamics ◽  
Field Equations ◽  
The World

In this paper we derive the Lorentz-Dirac equation of motion for a charged particle moving in an external electromagnetic field. We use Maxwell's electromagnetic field equations together with the assumptions (1) that all fields are retarded and (2) that the 4-force acting on the charged particle is a Lorentz 4-force. To define the self-field on the world-line of the charge we utilize a contour integral representation for the field due to A. W. Conway. This by-passes the need to define an ‘average field’. In an appendix the case of a scalar field is briefly discussed.

scholarly journals The Dynamical Origin of the Graviton Mass in the Non-Linear Theory of Massive Gravity

Universe ◽  
2019 ◽  
Vol 5 (7) ◽  
pp. 166
Author(s):  
Ivan Arraut
Keyword(s):  
Scalar Field ◽  
Effective Mass ◽  
Linear Theory ◽  
Local Time ◽  
Massive Gravity ◽  
Higgs Mechanism ◽  
Graviton Mass ◽  
Non Linear ◽  
Dynamical Origin

We compare the standard Higgs mechanism corresponding to the scalar field, with the dynamical origin of the graviton mass inside the scenario of the dRGT theory of massive gravity. We demonstrate that the effective mass perceived locally by different observers depends on how they define the local time with respect to the preferred notion of time defined by the Stückelberg function T 0 ( r , t ) .

Non-linear gravitational clustering in scalar field cosmologies

2003 ◽  
Vol 2003 (08) ◽  
pp. 005-005 ◽  
Author(s):  
Sabino Matarrese ◽  
Massimo Pietroni ◽  
Carlo Schimd
Keyword(s):  
Scalar Field ◽  
Gravitational Clustering ◽  
Non Linear
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