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Highly directive current distributions:General theory
Highly directive current distributions General theory
2015/10/16
A theoretical scheme for studying the properties of localized, monochromatic, and highly directive classical current distributions in two and three dimensions is formulated and analyzed. For continuou...
Continuum Theory of Nanostructure Decay Via a Microscale Condition
Continuum Theory Nanostructure Decay Microscale Condition
2015/10/16
The morphological relaxation of faceted crystal surfaces is studied via a continuum approach. Our formulation includes (i) an evolution equation for the surface slope that describes step line tension,...
From simplicial Chern-Simons theory to the shadow invariant II
simplicial Chern-Simons theory the shadow invariant II Mathematical Physics
2012/6/18
This is the second of a series of papers in which we develop a "discretization approach" for the rigorous realization of the non-Abelian Chern-Simons path integral for manifolds M of the form M=Sigma ...
A Hamilton-Jacobi Theory for Singular Lagrangian Systems in the Skinner and Rusk Setting
Hamilton-Jacobi theory presymplectic constraint algorithm
2012/5/9
We develop a Hamilton-Jacobi theory for singular lagrangian systems in the Skinner-Rusk formalism. Comparisons with the Hamilton-Jacobi problem in the lagrangian and hamiltonian settings are discussed...
On the divergence of time-dependent perturbation theory applied to laser-induced molecular transitions: Analytical calculations (1)
time-dependent perturbation theory laser-induced molecular transitions Analytical calculations Mathematical Physics
2012/4/18
Shaped laser pulses are a powerful tool to induce population transfer between electronic molecular states, and time-dependent perturbation theory is suitable for a description of such a transfer in we...
Disordered quantum wires: microscopic origins of the DMPK theory and Ohm's law
Disordered quantum wires microscopic origins the DMPK theory Ohm's law Mathematical Physics
2012/4/23
We study the electronic transport properties of the Anderson model on a strip, modeling a quasi one-dimensional disordered quantum wire. In the literature, the standard description of such wires is vi...
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...
Anti de Sitter quantum field theory and a new class of hypergeometric identities
hypergeometric identities High Energy Physics - Theory Anti de Sitter quantum field theory
2011/10/9
Abstract: We use Anti-de Sitter quantum field theory to prove a new class of identities between hypergeometric functions related to the K\"all\'en-Lehmann representation of products of two Anti-de Sit...
Geometry and field theory in multi-fractional spacetime
Models of Quantum Gravity Field Theories in Lower Dimensions Fractal Geometry
2011/10/9
Abstract: We construct a theory of fields living on continuous geometries with fractional Hausdorff and spectral dimensions, focussing on a flat background analogous to Minkowski spacetime. After revi...
Consistency of the adiabatic theorem and perturbation theory
adiabatic theorem perturbation theory Quantum Physics
2011/10/9
Abstract: We present an analysis of the adiabatic approximation to understand when it applies, in view of the recent criticisms and studies for the validity of the adiabatic theorem. We point out that...
Constructing a quantum field theory from spacetime
quantum field theory spacetime High Energy Physics - Theory
2011/10/8
Abstract: The paper shows deep connections between exotic smoothings of a small R^4 (the spacetime), the leaf space of codimension-1 foliations (related to noncommutative algebras) and quantization. A...
A New Mechanism for Gauging a Theory
Gauging, Fibrations M-theory High Energy Physics - Theory
2011/10/8
Abstract: We provide a mechanism of gauging a theory based on a particular way to embed a theory on a target space such that a nontrivial fibration is produced. A connection over a nontrivial fibratio...
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...
Resonance theory for perturbed Hill operator
resonances scattering periodic potential S-matrix
2011/9/6
Abstract: We consider the Schr\"odinger operator $Hy=-y"+(p+q)y$ with a periodic potential $p$ plus a compactly supported potential $q$ on the real line. The spectrum of $H$ consists of an absolutely ...
Noncommutative kappa-Minkowski phi4 theory: Construction, properties and propagation
kappa-deformed space noncommutative quantum field theory High Energy Physics - Theory
2011/10/8
Abstract: We have constructed noncommutative phi^4 field theory on kappa-Minkowski spacetime. Quantum properties via 2-point functions were analized, and effect of birefringence for the massive scalar...