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Actions for an Hierarchy of Attractive Nonlinear Oscillators Including the Quartic Oscillator in 1+1 Dimensions
Actions Hierarchy of Attractive Nonlinear Oscillators the Quartic Oscillator 1+1 Dimensions Mathematical Physics
2012/4/23
In this paper, we present an explicit form in terms of end-point data for the classical action $S_{2n}$ evaluated on extremals satisfying the Hamilton-Jacobi equation for each member of a hierarchy of...
A new perspective on renormalization: invariant actions, a dynamical DNA
A new perspective a dynamical DNA
2011/9/5
This is a note to a quantum field theorist, interpreting the “Mallat” transformation (i.e., group invariant scattering) [1]. First the characteristics of the transformation are examined, and related t...
Relativistic analogue of the D'Alembert principle of virtual displacements and the effective actions for the spherically-symmetric charged dust shell in General Relativity
Relativistic analogue D'Alembert principle of virtual displacements effective actions spherically-symmetric charged dust shell General Relativity
2010/12/20
A simple and direct derivation of the variational principle and effective actions for a spherical charged dust shell in general relativity is offered. This principle is based on the relativistic versi...
Perturbative renormalization factors and O(a^2) corrections for lattice 4-fermion operators with improved fermion/gluon actions
Perturbative renormalization factors O(a^2) corrections
2011/1/7
In this work we calculate the corrections to the amputated Green's functions of 4-fermion operators, in 1-loop Lattice Perturbation theory. One of the novel aspects of our calculations is that they ar...
We report on our simulations with Neuberger valence fermions on CLS $N_f=2$ configurations with non-perturbatively $O(a)$-improved Wilson sea quarks. We consider the matching of QCD to ChPT in the so ...
Perturbative renormalization factors and O(a^2) corrections for lattice 4-fermion operators with improved fermion/gluon actions
Perturbative renormalization factors O(a^2) corrections lattice 4-fermion operators improved fermion/gluon actions
2011/1/14
In this work we calculate the corrections to the amputated Green’s functions of 4-fermion
operators, in 1-loop Lattice Perturbation theory. One of the novel aspects of our calculations
is that they ...
Temporal Leggett-Garg-Bell inequalities for sequential multi-time actions in quantum information processing, and a re-definition of Macroscopic Realism
Temporal Leggett-Garg-Bell inequalities sequential multi-time actions quantum information processing a re-definition Macroscopic Realism
2010/10/19
The usual formulation of Macrorealism is recast to make this notion fully concurrent with the basic ideas behind classical physics. The assumption of non-invasiveness of measurements is dropped. Inste...
From qubits and actions to the Pauli-Schroedinger equation
Pauli-Schroedinger equation quantum dynamical equation
2010/3/10
Here I show that a classical or quantum bit state plus one simple operation, an action, are sufficient ingredients to derive a quantum dynamical equation that rules the sequential changes of the state...
Using the Wald's relation between the Noether charge of diffeomorphisms and the entropy for a generic spacetime possessing a bifurcation surface, we introduce a method to obtain a family of higher ord...