Self-gravitating static massive vector field in general relativity

1980 ◽  
Vol 23 (4) ◽  
pp. 322-324
Author(s):  
V. G. Krechet
Keyword(s):  
General Relativity ◽  
Vector Field ◽  
Massive Vector

scholarly journals REMARKS ON A CHERN–SIMONS-LIKE COUPLING

2011 ◽  
Vol 26 (37) ◽  
pp. 2813-2821
Author(s):  
PATRICIO GAETE
Keyword(s):  
Gauge Theory ◽  
Vector Field ◽  
Static Potential ◽  
Gauge Invariant ◽  
Massive Vector ◽  
Hidden Sector ◽  
Dependent Variables ◽  
Qualitative Nature ◽  
Path Dependent ◽  
Chern Simons

We consider the static quantum potential for a gauge theory which includes a light massive vector field interacting with the familiar U (1) QED photon via a Chern–Simons-like coupling, by using the gauge-invariant, but path-dependent, variables formalism. An exactly screening phase is then obtained, which displays a marked departure of a qualitative nature from massive axionic electrodynamics. The above static potential profile is similar to that encountered in axionic electrodynamics consisting of a massless axion-like field, as well as to that encountered in the coupling between the familiar U (1) QED photon and a second massive gauge field living in the so-called U (1)h hidden-sector, inside a superconducting box.

Spontaneously Broken Symmetries

2021 ◽  
pp. 287-303
Author(s):  
J. Iliopoulos ◽  
T.N. Tomaras
Keyword(s):  
Phase Transitions ◽  
Vector Field ◽  
Quantum Physics ◽  
Goldstone Boson ◽  
Internal Symmetry ◽  
Higgs Mechanism ◽  
Broken Symmetry ◽  
Massive Vector ◽  
Broken Symmetries ◽  
Gauge Symmetries

The phenomenon of spontaneous symmetry breaking is a common feature of phase transitions in both classical and quantum physics. In a first part we study this phenomenon for the case of a global internal symmetry and give a simple proof of Goldstone’s theorem. We show that a massless excitation appears, corresponding to every generator of a spontaneously broken symmetry. In a second part we extend these ideas to the case of gauge symmetries and derive the Brout–Englert–Higgs mechanism. We show that the gauge boson associated with the spontaneously broken generator acquires a mass and the corresponding field, which would have been the Goldstone boson, decouples and disappears. Its degree of freedom is used to allow the transition from a massless to a massive vector field.

scholarly journals Superluminal Sound and Ferromagnetic Transition in the Zeldovich Model

1974 ◽  
Vol 53 ◽  
pp. 169-182
Author(s):  
G. Kalman ◽  
S. T. Lai
Keyword(s):  
Phase Transition ◽  
Vector Field ◽  
Sound Propagation ◽  
Relativistic Effects ◽  
Fermi Gas ◽  
Ferromagnetic Phase ◽  
Ferromagnetic Transition ◽  
Correlation Effects ◽  
Massive Vector ◽  
Maximal Density

The implications of the Zeldovich model (baryons interacting through a massive vector field) for the problem of superluminal sound propagation and ferromagnetic transition are examined. In a classical baryon gas at high densities correlation effects lead to the pressure increasing faster than the energy, ultimately resulting in superluminal sound; crystallization phase transition appears however at comparable densities, thus competing with the onset of superluminal sound. For a high density fermi gas the domains of ferromagnetic transition are delineated, indicating a minimal and maximal density below and above which no ferromagnetic transition can be expected. The latter is further affected by relativistic effects requiring a different approach to the calculation of exchange energy and of the ferromagnetic phase.

scholarly journals Dark energy as a massive vector field

2007 ◽  
Vol 50 (2) ◽  
pp. 423-429 ◽  
Author(s):  
C.G. Böhmer ◽  
T. Harko
Keyword(s):  
Dark Energy ◽  
Vector Field ◽  
Massive Vector

scholarly journals Screening vector field modifications of general relativity

2013 ◽  
Vol 725 (4-5) ◽  
pp. 212-217 ◽  
Author(s):  
Jose Beltrán Jiménez ◽  
André Luís Delvas Fróes ◽  
David F. Mota
Keyword(s):  
General Relativity ◽  
Vector Field

GENERAL RELATIVITY AND SECTIONAL CURVATURE

2006 ◽  
Vol 03 (05n06) ◽  
pp. 1077-1087
Author(s):  
G. S. HALL
Keyword(s):  
General Relativity ◽  
Vector Field ◽  
Sectional Curvature ◽  
Relativity Theory ◽  
Curvature Function ◽  
Smooth Vector ◽  
General Relativity Theory ◽  
Metric Tensor ◽  
Algebraic Properties ◽  
Einstein’S General Relativity

A discussion is given of the sectional curvature function on a four-dimensional Lorentz manifold and, in particular, on the space–time of Einstein's general relativity theory. Its tight relationship to the metric tensor is demonstrated and some of its geometrical and algebraic properties evaluated. The concept of a sectional curvature preserving symmetry, in the form of a certain smooth vector field, is introduced and discussed.

Homothetic vector field in plane symmetric Bianchi type-I cosmological model in Lyra geometry

2014 ◽  
Vol 29 (22) ◽  
pp. 1450116 ◽  
Author(s):  
Ragab M. Gad ◽  
A. S. Alofi
Keyword(s):  
General Relativity ◽  
Vector Field ◽  
Riemannian Geometry ◽  
Bianchi Type ◽  
Displacement Vector ◽  
Lyra Geometry ◽  
Type I ◽  
Bianchi Type I ◽  
Plane Symmetric ◽  
Homothetic Vector

In this paper, we obtain a homothetic vector field of a plane symmetric Bianchi type-I spacetime based on Lyra geometry. We discuss the cases when the displacement vector is function of t and when it is constant. We investigate the equation of state in both two cases. A comparison between the obtained results, using Lyra geometry, and that have obtained previously in the context of General Relativity (GR), based on Riemannian geometry, will be given.

HAMILTONIAN BRST QUANTIZATION OF AN ABELIAN MASSIVE VECTOR FIELD WITH AN ANTISYMMETRIC TENSOR FIELD

1995 ◽  
Vol 10 (10) ◽  
pp. 813-822 ◽  
Author(s):  
HIROHUMI SAWAYANAGI
Keyword(s):  
Vector Field ◽  
Tensor Field ◽  
Brst Quantization ◽  
Antisymmetric Tensor ◽  
Massive Vector ◽  
Fixed Action ◽  
Antisymmetric Tensor Field ◽  
Covariant Gauge ◽  
New Variables

The Lagrangian of an Abelian massive vector field gives a system with second class constraints. We apply the Batalin–Fradkin formalism, which converts second class constraints to first class ones through the introduction of new variables. As a new variable, instead of the Stueckelberg field, we introduce an antisymmetric tensor field. A covariant gauge-fixed action is presented. The unitarity and the duality are also discussed.

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