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The Fourier U(2) Group and Separation of Discrete Variables
discrete coordinates Fourier U(2) group Cartesian pixellation polar pixellation
2011/9/9
The linear canonical transformations of geometric optics on two-dimensional screens form the group Sp(4;<), whose maximal compact subgroup is the Fourier group
U(2)F; this includes isotropic and anis...
Spinors and Voros star-product for Group Field Theory: First Contact
Spinors Voros star-product Group Field Theory General Relativity and Quantum Cosmology
2011/10/10
Abstract: In the context of non-commutative geometries, we develop a group Fourier transform for the Lie group SU(2). Our method is based on the Schwinger representation of the Lie algebra su(2) in te...
Classical Group Field Theory
Group field theory classical study High Energy Physics - Theory
2011/10/8
Abstract: The ordinary formalism for classical field theory is applied to dynamical group field theories. Focusing first on a local group field theory over one copy of SU(2) and, then, on more involve...
Unitary representations of the Galilean line group: Quantum mechanical principle of equivalence
Unitary representations the Galilean line group Quantum mechanical principle of equivalence
2011/9/5
Abstract: We present a formalism of Galilean quantum mechanics in non-inertial reference frames and discuss its implications for the equivalence principle. This extension of quantum mechanics rests on...
Complete group classification of a class of nonlinear wave equations
Complete group classification nonlinear wave equations Analysis of PDEs
2011/7/26
Abstract: Preliminary group classification became prominent as an approach to symmetry analysis of differential equations due to the paper by Ibragimov, Torrisi and Valenti [J. Math. Phys. 32, 2988-29...
All the Groups of Signal Analysis from the (1+1)-affine Galilei Group
Signal Analysis the (1+1)-affine Galilei Group Mathematical Physics
2011/7/26
Abstract: We study the relationship between the (1+1)-affine Galilei group and four groups of interest in signal analysis and image processing, viz., the wavelet or the affine group of the line, the W...
Snub 24-Cell Derived from the Coxeter-Weyl Group W(D4)
Snub 24-Cell the Coxeter-Weyl Group W(D4)
2011/7/26
Snub 24-Cell Derived from the Coxeter-Weyl Group W(D4).
The helical phase of chiral nematic liquid crystals as the Bianchi VII(0) group manifold
chiral nematic liquid crystals the Bianchi VII(0) group manifold Soft Condensed Matter
2011/7/27
Abstract: We show that the optical structure of the helical phase of a chiral nematic is naturally associated with the Bianchi VII(0) group manifold. The Joets-Ribotta metric governing propagation of ...
The Fourier U(2) Group and Separation of Discrete Variables
Optics Fourier U(2) Group Separation of Discrete Variables
2011/7/25
Abstract: The linear canonical transformations of geometric optics on two-dimensional screens form the group $Sp(4,R)$, whose maximal compact subgroup is the Fourier group $U(2)_F$; this includes isot...
Center vortex model and the G(2) gauge group
QCD phenomenological model center vortex confinement
2011/1/14
The thick center vortex model is applied to G(2) gauge group to obtain the potentials between static sources of the fundamental and adjoint representations.
Confinement and deconfinement for any gauge group from dyons viewpoint
Quantum Chromodynamics monopole holonomy semiclassical approximation
2011/1/14
Basing on a semiclassical picture of dyons, we present a nonperturbative model of a pure Yang–Mills theory at any temperatures, for an arbitrary simple gauge group.
Functional renormalization group for quantized anharmonic oscillator
Functional renormalization group quantized anharmonic oscillator
2010/10/27
Functional renormalization group methods formulated in the real-time formalism are applied to
the O(N) symmetric quantum anharmonic oscillator, considered as a 0 + 1 dimensional quantum
field-theori...
The non-relativistic limit of (central-extended) Poincare group and some consequences for quantum actualization
The non-relativistic limit consequences quantum actualization
2010/10/27
The non relativistic limit of the centrally extended Poincar´e group is considered and their consequences in the Modal Hamiltonian Interpretation of Quantum Mechanics discussed [1], [2]. Through...
A Deformed Poincare Invariance for Group Field Theories
Poincare Invariance Group Field Theories
2010/3/18
In the context of quantum gravity, group field theories are field theories that generate spinfoam amplitudes as Feynman diagrams. They can be understood as generalizations of the matrix models used fo...
Emergent matter from 3d generalised group field theories
Emergent matter 3d generalised group field theories
2010/3/17
We identify classical solutions of a generalised group field theory model in 3 dimensions, and study the corresponding perturbations, deriving their effective dynamics. We discuss their interpretation...