scholarly journals Conformal coupling of the scalar field with gravity in higher dimensions and invariant powers of the Laplacian

2007 ◽  
Vol 644 (5-6) ◽  
pp. 370-374 ◽  
Author(s):  
Ruben Manvelyan ◽  
D.H. Tchrakian
Keyword(s):  
Scalar Field ◽  
Higher Dimensions

scholarly journals Partially massless theory in three dimensions and self-dual massive gravity

2018 ◽  
Vol 33 (12) ◽  
pp. 1850067 ◽  
Author(s):  
Daniel Galviz ◽  
Adel Khoudeir
Keyword(s):  
Scalar Field ◽  
Physical System ◽  
Higher Dimensions ◽  
Massive Gravity ◽  
Degree Of Freedom ◽  
The Self ◽  
Three Dimensions ◽  
Massless Theory ◽  
Chern Simons ◽  
Topologically Massive Gravity

Partially massless theory in three dimensions is revisited and its relationship with the self-dual massive gravity is considered. The only mode of the partially massless theory is shown explicitly through an action for a scalar field on (A)dS background. This fact can be generalized to higher dimensions. This degree of freedom is altered when a triadic Chern–Simons is introduced, giving rise to the self-dual massive gravity on (A)dS background. We present another physical system with partially massless symmetry and its connection with topologically massive gravity is discussed.

Classical ultrarelativistic bremsstrahlung in higher dimensions

2020 ◽  
Vol 35 (02n03) ◽  
pp. 2040025
Author(s):  
Pavel Spirin
Keyword(s):  
Perturbation Theory ◽  
Vector Field ◽  
Scalar Field ◽  
Higher Dimensions ◽  
Scalar Interaction ◽  
Linearized Gravity ◽  
Bulk Scalar Field ◽  
Ultrarelativistic Limit

We consider the classical bremsstrahlung of an ultrarelativistic point-like particle on potential, generated by the free infinite Nambu-Goto object ([Formula: see text]-brane). For simplicity, the interaction is supposed to take place via the bulk scalar field. Scalar interaction can model both the vector field and the trace part of linearized gravity. The particle does not intersect the Nambu-Goto object and moves in transverse directions, thus in the ultrarelativistic limit we can regard its trajectory as straight and make use of the perturbation theory. We derive the radiation amplitudes and compute the emitted energy during the collision. The validity of classical consideration is discussed. The results are analyzed in the context of co-dimensionality of the brane embedding.

scholarly journals AdS collapse of a scalar field in higher dimensions

2011 ◽  
Vol 84 (8) ◽  
Author(s):  
Joanna Jałmużna ◽  
Andrzej Rostworowski ◽  
Piotr Bizoń
Keyword(s):  
Scalar Field ◽  
Higher Dimensions

scholarly journals Extranatural flux inflation

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Takuya Hirose ◽  
Nobuhito Maru
Keyword(s):  
Scalar Field ◽  
Zero Mode ◽  
Goldstone Boson ◽  
Higher Dimensions ◽  
Translational Symmetry ◽  
Flux Compactification ◽  
Inflation Model ◽  
Higher Dimensional ◽  
Local Operators ◽  
Non Local

Abstract We propose a new inflation scenario in flux compactification, where a zero mode scalar field of extra components of the higher dimensional gauge field is identified with an inflaton. The scalar field is a pseudo Nambu-Goldstone boson of spontaneously broken translational symmetry in compactified spaces. The inflaton potential is non-local and finite, which is protected against the higher dimensional non-derivative local operators by quantum gravity corrections thanks to the gauge symmetry in higher dimensions and the shift symmetry originated from the translation in extra spaces. We give an explicit inflation model in a six dimensional scalar QED, which is shown to be consistent with Planck 2018 data.

scholarly journals ON THE ONE-LOOP CORRECTION OF φ4 THEORY IN HIGHER DIMENSIONS

2007 ◽  
Vol 22 (29) ◽  
pp. 5369-5377 ◽  
Author(s):  
RIZWAN UL HAQ ANSARI ◽  
P. K. SURESH
Keyword(s):  
Phase Transitions ◽  
Critical Temperature ◽  
Scalar Field ◽  
Effective Potential ◽  
Higher Dimensions ◽  
Temperature Dependent ◽  
Loop Correction ◽  
Five Dimensions ◽  
Fundamental Scale ◽  
The One

We consider in this paper φ4 theory in higher dimensions. Using functional diagrammatic approach, we compute the one-loop correction to effective potential of the scalar field in five dimensions. It is shown that φ4 theory can be regularized in five dimensions. Temperature dependent one-loop correction and critical temperature βc are computed and βc depends on the fundamental scale [Formula: see text] of the theory. A brief discussion of symmetry restoration is also presented. The nature of phase transitions is examined and is of second order.

scholarly journals OSCILLONS IN SCALAR FIELD THEORIES: APPLICATIONS IN HIGHER DIMENSIONS AND INFLATION

2007 ◽  
Vol 16 (02n03) ◽  
pp. 219-229 ◽  
Author(s):  
MARCELO GLEISER
Keyword(s):  
Scalar Field ◽  
Higher Dimensions ◽  
Bubble Nucleation ◽  
Field Theories ◽  
Vacuum Decay ◽  
Vacuum States ◽  
Cosmological Inflation ◽  
Dimensionality Of Space ◽  
Dynamics Of Phase Transitions ◽  
Lived Time

The basic properties of oscillons — localized, long-lived, time-dependent scalar field configurations — are briefly reviewed, including recent results demonstrating how their existence depends on the dimensionality of space–time. Their role on the dynamics of phase transitions is discussed, and it is shown that oscillons may greatly accelerate the decay of metastable vacuum states. This mechanism for vacuum decay — resonant nucleation — is then applied to cosmological inflation. A new inflationary model is proposed which terminates with fast bubble nucleation.

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