scholarly journals GENERAL COORDINATE TRANSFORMATIONS AS THE ORIGINS OF DARK ENERGY

2007 ◽  
Vol 22 (04) ◽  
pp. 749-776 ◽  
Author(s):  
VINCENT G. J. RODGERS ◽  
TAKESHI YASUDA
Keyword(s):  
Dark Energy ◽  
Scalar Field ◽  
Virasoro Algebra ◽  
Field Theories ◽  
One Dimension ◽  
Coordinate Transformations ◽  
Moody Algebra ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Phantom Dark Energy

In this note we demonstrate that the algebra associated with coordinate transformations might contain the origins of a scalar field that can behave as an inflaton and/or a source for dark energy. We will call this particular scalar field the diffeomorphism scalar field. In one dimension, the algebra of coordinate transformations is the Virasoro algebra while the algebra of gauge transformations is the Kac–Moody algebra. An interesting representation of these algebras corresponds to certain field theories that have meaning in any dimension. In particular, the so-called Kac–Moody sector corresponds to Yang–Mills theories and the Virasoro sector corresponds to the diffeomorphism field theory that contains the scalar field and a rank-two symmetric, traceless tensor. We will focus on the contributions of the diffeomorphism scalar field to cosmology. We show that this scalar field can, qualitatively, act as a phantom dark energy, an inflaton, a dark matter source, and the cosmological constant Λ.

scholarly journals The special Galileon as Goldstone of diffeomorphisms

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Diederik Roest
Keyword(s):  
General Relativity ◽  
Scalar Field ◽  
Sigma Model ◽  
Field Theories ◽  
Linear Sigma Model ◽  
Goldstone Mode ◽  
Coordinate Transformations ◽  
Yang Mills ◽  
Non Linear ◽  
Conformal Symmetries

Abstract The special Galileon stands out amongst scalar field theories due to its soft limits, non-linear symmetries and scattering amplitudes. This prompts the question what the origin of its underlying symmetry is. We show that it is intimately connected to general relativity: the special Galileon is the Goldstone mode of the affine group, consisting of linear coordinate transformations, analogous to the dilaton for conformal symmetries. We construct the corresponding metric, and discuss various relations to gravity, Yang-Mills and the non-linear sigma-model.

From Diffeomorphisms to Dark Energy?

2003 ◽  
Vol 18 (33n35) ◽  
pp. 2467-2474 ◽  
Author(s):  
Vincent G. J. Rodgers ◽  
Takeshi Yasuda
Keyword(s):  
Dark Energy ◽  
Lie Algebras ◽  
Virasoro Algebra ◽  
Two Dimensions ◽  
Coadjoint Orbits ◽  
Coadjoint Representation ◽  
Natural Setting ◽  
Affine Lie Algebras ◽  
Yang Mills ◽  
Geometric Action

There are two physical actions that have a natural setting in terms of the coadjoint representation of the algebra of diffeomorphisms and of affine Lie algebras. One is the usual geometric action that comes from coadjoint orbits. The other action lives on the phase space that is transverse to the orbits and are called transverse actions, where Yang-Mills theory in two dimensions is an example. Here we show that the transverse action associated with the Virasoro algebra might contain clues for a theory for dark energy. These actions might also suggests a mechanism for symmetry changing.

Scalar field solutions to Yang-Mills and Vierbein field theories

1978 ◽  
Vol 2 (4) ◽  
pp. 287-290
Author(s):  
N. S. Baaklini ◽  
D. P. O'brien
Keyword(s):  
Scalar Field ◽  
Field Theories ◽  
Yang Mills

scholarly journals Phantom dark energy from scalar-torsion coupling

2020 ◽  
pp. 2050331
Author(s):  
Nikodem J. Popławski
Keyword(s):  
Dark Energy ◽  
Scalar Field ◽  
Lagrangian Density ◽  
Kinetic Term ◽  
Equivalent Formulation ◽  
Phantom Dark Energy ◽  
General Relativistic ◽  
Theory Of Gravity ◽  
Cartan Theory

We show that a scalar field without a kinetic term in the Lagrangian density, coupled to the covariant divergence of the torsion vector in the Einstein–Cartan theory of gravity, becomes kinetic in its general-relativistic equivalent formulation. The resulting kinetic term is negative: such a scalar field could be a source of phantom dark energy.

Higher spin theories in flat space–time

2018 ◽  
Vol 33 (34) ◽  
pp. 1845007
Author(s):  
Loriano Bonora
Keyword(s):  
Equations Of Motion ◽  
Flat Space ◽  
Space Time ◽  
Local Fields ◽  
Field Theories ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Higher Spin ◽  
Chern Simons

It is shown that, contrary to a widespread prejudice, massless higher spin (HS) field theories can be defined in flat space–time. Examples of Yang–Mills-like theories with infinite many local fields of any spin are constructed explicitly in any dimension, along with Chern–Simons-like models in any odd dimension. These theories are defined via actions invariant under HS gauge transformations and their equations of motion are derived. It is also briefly explained why these theories circumvent well-known no-go theorems.

scholarly journals Boson stars in SU(2) Yang–Mills scalar field theories

2005 ◽  
Vol 607 (1-2) ◽  
pp. 17-26 ◽  
Author(s):  
Yves Brihaye ◽  
Betti Hartmann ◽  
Eugen Radu
Keyword(s):  
Scalar Field ◽  
Field Theories ◽  
Boson Stars ◽  
Yang Mills

scholarly journals SCALAR, FOUR VOLUME AND HOLOGRAPHIC DARK ENERGY

2012 ◽  
Vol 10 ◽  
pp. 95-106 ◽  
Author(s):  
CHANGJUN GAO
Keyword(s):  
Dark Energy ◽  
Scalar Field ◽  
Holographic Dark Energy ◽  
Specific Form ◽  
Holographic Dark Energy Model ◽  
Cosmic Evolution ◽  
Dimensional Spacetime ◽  
Phantom Dark Energy ◽  
Acceleration Of The Universe ◽  
The Universe

We explore the cosmic evolution of a scalar field which is identified with the four dimensional spacetime volume. Given a specific form for the Lagrangian of the scalar field, a new holographic dark energy model is present. The energy density of dark energy is reversely proportional to the square of the radius of the cosmic null hypersurface which is present as a new infrared cutoff for the Universe. We find this holographic dark energy belongs to the phantom dark energy for some appropriate parameters in order to interpret the current acceleration of the Universe.

Admissible boundary conditions for Hamiltonian field theories

2017 ◽  
Vol 14 (08) ◽  
pp. 1740006 ◽  
Author(s):  
Manuel Asorey ◽  
Alberto Ibort ◽  
Amelia Spivak
Keyword(s):  
Boundary Conditions ◽  
Level Set ◽  
Lagrangian Submanifolds ◽  
Moment Map ◽  
Field Theories ◽  
Manifolds With Boundary ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Gauge Symmetries ◽  
The Moment

In the setting of a multisymplectic formalism for Hamiltonian theories on manifolds with boundary a class of admissible boundary conditions based on the principle of preservation of the gauge symmetries of the theory is presented. Such admissible conditions are characterized as those boundary conditions determined by Lagrangian submanifolds on the space of fields at the boundary lying in the zero level set of the moment map of the group of gauge transformations at the boundary. The examples of gauge covariant fields and pure Yang–Mills theories are analyzed.

THE CP PROBLEM IN QUANTUM GRAVITY

1989 ◽  
Vol 04 (06) ◽  
pp. 1493-1514 ◽  
Author(s):  
ABHAY ASHTEKAR ◽  
A.P. BALACHANDRAN ◽  
S. JO
Keyword(s):  
General Relativity ◽  
Quantum Gravity ◽  
Canonical Quantization ◽  
Field Theories ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Local Gauge ◽  
Canonical Variables ◽  
Carry Over ◽  
Theories Of Gravitation

It has recently been shown that one can reformulate general relativity in such a way that the canonical variables of the theory resemble those of Yang-Mills theory and the freedom in performing internal rotations on tetrads is completely analogous to the freedom in performing local gauge transformations in Yang-Mills theory. This reformulation is used to carry over, in the canonical framework, the analysis of the θ vacua and the associated CP problem from Yang-Mills theory to general relativity. The analysis depends only on certain qualitative features of general relativity—shared by other field theories of gravitation such as supergravity—and is insensitive to the details of the theory as well as of the way in which the canonical quantization program may be eventually completed.

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