Gauge group, degeneration, and degrees of freedom in the ECSK theory of gravity. II. The Moncrief decomposition

1985 ◽  
Vol 17 (10) ◽  
pp. 953-970 ◽  
Author(s):  
Kazimierz Frąckiewicz
Keyword(s):  
Gauge Group ◽  
Degrees Of Freedom ◽  
Theory Of Gravity

Fermions, q-deformed diffeomorphism and the evolution of spin networks

2015 ◽  
Vol 24 (10) ◽  
pp. 1550074 ◽  
Author(s):  
L. Mullick ◽  
P. Bandyopadhyay
Keyword(s):  
Quantum Gravity ◽  
Gauge Group ◽  
Degrees Of Freedom ◽  
Loop Quantum Gravity ◽  
Closed Loop ◽  
Direction Vector ◽  
Spin Networks ◽  
Spin Network ◽  
Diffeomorphism Invariance ◽  
Diffeomorphism Symmetry

We have considered here the emergence of diffeomorphism symmetry in quantum gravity in the framework of the quantization of a fermion. It is pointed out that a closed loop having the holonomy associated with the SU(2) gauge group is realized from the rotation of the direction vector associated with the quantization of a fermion depicting spin degrees of freedom which appear as SU(2) gauge bundle. During the formation of a loop, a noncyclic path with open ends can be mapped onto a closed loop when the holonomy involves q-deformed gauge group SUq(2). This gives rise to q-deformed diffeomorphism and helps to realize diffeomorphism invariance in quantum gravity through a sequence of q-deformed diffeomorphism in the limit q = 1. We can consider adiabatic iteration such that the quasispin associated with the quantum group SUq(2) gradually evolves as the time dependent deformation parameter q changes and in the limit q = 1, we achieve the standard spin. This essentially depicts the evolution of spin network as the loop is being formed and links fermionic degrees of freedom with loop quantum gravity.

FOUR-DIMENSIONAL HETEROTIC STRING MODELS WITH SU(3) × SU(2) × Up(1) LOW ENERGY GAUGE GROUP

1989 ◽  
Vol 04 (17) ◽  
pp. 4475-4485 ◽  
Author(s):  
DAVID BAILIN ◽  
ALEX LOVE
Keyword(s):  
Gauge Group ◽  
Degrees Of Freedom ◽  
Low Energy ◽  
Heterotic String ◽  
String Models

A study is made of a class of four-dimensional heterotic string models with complex fermionic degrees of freedom to discover whether there are any examples with 3 or 4 generations of quarks and leptons and SU C(3) × SU L(2) × U p(1) low energy gauge group.

scholarly journals Charged wormholes in f(R,T)-extended theory of gravity

2019 ◽  
Vol 28 (08) ◽  
pp. 1950098 ◽  
Author(s):  
P. H. R. S. Moraes ◽  
W. de Paula ◽  
R. A. C. Correa
Keyword(s):  
Degrees Of Freedom ◽  
Matter Content ◽  
Nonlinear Electrodynamics ◽  
Energy Conditions ◽  
Field Equations ◽  
Extended Theory ◽  
Extended Theories Of Gravity ◽  
Theories Of Gravity ◽  
Theory Of Gravity ◽  
Physical Quantities

Wormholes (WHs) are a solution for General Relativity field equations which characterize a passage or tunnel that connects two different regions of spacetime and is filled by some sort of exotic matter that does not satisfy the energy conditions. On the other hand, it is known that in extended theories of gravity, the extra degrees of freedom once provided may allow the energy conditions to be obeyed and, consequently, the matter content of the WH to be nonexotic. In this work, we obtain, as a novelty in the literature, solutions for charged WHs in the [Formula: see text]-extended theory of gravity. We show that the presence of charge in these objects may be a possibility to respect some stability conditions for their metric. Also, remarkably, the energy conditions are respected in the present approach. In addition, we argue that our framework can be very useful to study the possibility of evolving [Formula: see text] and [Formula: see text]-dimensional WH spacetime within the context of nonlinear electrodynamics, which open a new window to probe the physical quantities in a WH-type solution.

scholarly journals CHIRAL BOSONS AS SOLUTIONS OF THE BV MASTER EQUATION FOR 2-D CHIRAL GAUGE THEORIES

1995 ◽  
Vol 10 (19) ◽  
pp. 1365-1374
Author(s):  
N.R.F. BRAGA ◽  
H. MONTANI
Keyword(s):  
Master Equation ◽  
Gauge Group ◽  
Degrees Of Freedom ◽  
Gauge Theories ◽  
Two Dimensional ◽  
Extended Field ◽  
Chiral Bosons

We construct the chiral Wess-Zumino term as a solution for the Batalin-Vilkovisky master equation for anomalous two-dimensional gauge theories, working in an extended field-antifield space, where the gauge group elements are introduced as additional degrees of freedom. We analyze the Abelian and the non-Abelian cases, calculating in both cases the BRST generator in order to show the physical equivalence between this chiral solution for the master equation and the usual (nonchiral) one.

scholarly journals Holography as cutoff: A proposal for measure of inflationary universes

2014 ◽  
Vol 29 (18) ◽  
pp. 1450102
Author(s):  
Fábio Novaes ◽  
Bruno Carneiro da Cunha
Keyword(s):  
Field Theory ◽  
Quantum Theory ◽  
Scalar Field ◽  
Effective Field Theory ◽  
Degrees Of Freedom ◽  
Effective Field ◽  
Holographic Principle ◽  
Inflationary Model ◽  
Isotropic Space ◽  
Theory Of Gravity

We propose the holographic principle as a dynamical cutoff for any quantum theory of gravity, incorporating ideas of effective field theory. This is done by viewing the holographic bound as a limit on the number of degrees of freedom that can be turned on before the geometrical picture of gravity loses applicability. We illustrate the proposal by revisiting the problem of defining a measure for homogeneous and isotropic space–times coupled to a scalar field and conclude by discussing the implications to the single scalar field inflationary model.

scholarly journals EFFECTIVE 't HOOFT–POLYAKOV MONOPOLES FROM PURE SU(3) GAUGE THEORY

2003 ◽  
Vol 18 (40) ◽  
pp. 2873-2886 ◽  
Author(s):  
VLADIMIR DZHUNUSHALIEV ◽  
DOUGLAS SINGLETON
Keyword(s):  
Gauge Theory ◽  
Gauge Group ◽  
Degrees Of Freedom ◽  
Scalar Fields ◽  
Finite Energy ◽  
Gauge Fields ◽  
Yang Mills ◽  
Pure Gauge Theory ◽  
Energy Configurations ◽  
Mills Field

The well-known topological monopoles originally investigated by 't Hooft and Polyakov are known to arise in classical Yang–Mills–Higgs theory. With a pure gauge theory, it is known that the classical Yang–Mills field equation do not have such finite energy configurations. Here we argue that such configurations may arise in a semi-quantized Yang–Mills theory, where the original gauge group, SU(3), is reduced to a smaller gauge group, SU(2), and with some combination of the coset fields of the SU(3) to SU(2) reduction acting as effective scalar fields. The procedure is called semi-quantized since some of the original gauge fields are treated as quantum degrees of freedom, while others are postulated to be effectively described as classical degrees of freedom. Some speculation is offer on a possible connection between these monopole configurations and the confinement problem, and the nucleon spin puzzle.

scholarly journals GAUGE TRANSFORMATION PROPERTIES OF VECTOR AND TENSOR POTENTIALS REVISITED: A GROUP QUANTIZATION APPROACH

2000 ◽  
Vol 15 (11) ◽  
pp. 1661-1683 ◽  
Author(s):  
M. CALIXTO ◽  
V. ALDAYA
Keyword(s):  
Gauge Group ◽  
Degrees Of Freedom ◽  
Gauge Field Theories ◽  
Field Theories ◽  
New Approach ◽  
Yang Mills ◽  
Unified Field ◽  
Breaking Mechanism ◽  
Group Quantization ◽  
Invariant Quantum

The possibility of nontrivial representations of the gauge group on wave functionals of a gauge invariant quantum field theory leads to a generation of mass for intermediate vector and tensor bosons. The mass parameters m show up as central charges in the algebra of constraints, which then become of second-class nature. The gauge group coordinates acquire dynamics outside the null-mass shell and provide the longitudinal field degrees of freedom that massless bosons need to form massive bosons. This is a non-Higgs mechanism that could provide new clues for the best understanding of the symmetry breaking mechanism in unified field theories. A unified quantization of massless and massive non-Abelian Yang–Mills, linear gravity and Abelian two-form gauge field theories are fully developed from this new approach, where a cohomological origin of mass is pointed out.

EQUIPARTITION OF MICROSCOPIC DEGREES OF FREEDOM, SPACE–TIME ENTROPY AND HOLOGRAPHY

2010 ◽  
Vol 19 (14) ◽  
pp. 2275-2280 ◽  
Author(s):  
T. PADMANABHAN
Keyword(s):  
Invariant Theory ◽  
Thermal Equilibrium ◽  
Degrees Of Freedom ◽  
Space Time ◽  
Local Thermal Equilibrium ◽  
Bulk Region ◽  
Number Density ◽  
Field Equations ◽  
Emergent Perspective ◽  
Theory Of Gravity

One can identify the number density of the microscopic space–time degrees of freedom in any diffeomorphism-invariant theory of gravity by using the principle of equipartition, applied to the area elements of a surface [Formula: see text] which are at the local Unruh temperature. The entropy associated with these degrees of freedom, which matches with the Wald entropy for the theory, can be used to obtain the field equations of the theory through an extremization priciple. When the microscopic degrees of freedom are in local thermal equilibrium, the entropy of a bulk region of space–time resides on its boundary. These facts support an emergent perspective of gravity.

scholarly journals LIVING IN CURVED MOMENTUM SPACE

2013 ◽  
Vol 28 (12) ◽  
pp. 1330014 ◽  
Author(s):  
JERZY KOWALSKI-GLIKMAN
Keyword(s):  
Quantum Gravity ◽  
Momentum Space ◽  
Degrees Of Freedom ◽  
Space Time ◽  
Topological Phase ◽  
De Sitter ◽  
Interacting Particles ◽  
Detailed Review ◽  
Theory Of Gravity ◽  
Relativistic Particles

In this paper, we review some aspects of relativistic particles' mechanics in the case of a nontrivial geometry of momentum space. We start by showing how the curved momentum space arises in the theory of gravity in 2+1 dimensions coupled to particles, when (topological) degrees of freedom of gravity are solved for. We argue that there might exist a similar topological phase of quantum gravity in 3+1 dimensions. Then, we characterize the main properties of the theory of interacting particles with curved momentum space and the symmetries of the action. We discuss the space–time picture and the emergence of the principle of relative locality, according to which locality of events is not absolute but becomes observer dependent, in the controllable, relativistic way. We conclude with the detailed review of the most studied κ-Poincaré framework, which corresponds to the de Sitter momentum space.

Sign in / Sign up

Export Citation Format

Share Document