Gauge group, degeneration, and degrees of freedom in the ECSK theory of gravity. I. The symplectic structure of the ECSK theory

1985 ◽  
Vol 17 (10) ◽  
pp. 939-952 ◽  
Author(s):  
Kazimierz Frąckiewicz
Keyword(s):  
Gauge Group ◽  
Degrees Of Freedom ◽  
Symplectic Structure ◽  
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.

SYMPLECTIC REDUCTION FOR YANG–MILLS ON A CYLINDER

2004 ◽  
Vol 01 (04) ◽  
pp. 289-298 ◽  
Author(s):  
AMBAR N. SENGUPTA
Keyword(s):  
Gauge Group ◽  
Cotangent Bundle ◽  
Symplectic Structure ◽  
Hamiltonian Dynamics ◽  
Symplectic Reduction ◽  
Yang Mills

An account of the Lagrangian and Hamiltonian dynamics of the pure Yang–Mills system is presented. This framework is applied to the case of (1+1)-dimensional cylindrical spacetime. Hamiltonian dynamics on the space of connections over a circle is often identified with dynamics on the cotangent bundle of the gauge group by means of the holonomy. In support of this procedure we show that the symplectic structure for Hamiltonian dynamics for connections on a circle is identifiable with the natural symplectic structure on the cotangent bundle of the gauge group.

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.

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