L. Value and R. Y. Young 3 7 6 The Bootstrap Program 4 Introduction to Bootstrap Methods and Applications 5 Statistical Bootstrap Methods The ELD algorithm 5 / 5 6 Particle Bootstrap Methods The ELD algorithm 6 / 6 7 Electron Bootstrap Methods The ELD algorithm 7 / 7 8 Bootstrapped Bootstrap Methods The ELD algorithm 8 / 8 9 Experimental Bootstrap Methods The ELD algorithm 9 // 9 10 ELD Bootstrap Techniques for Large-Scale Modeling The ELD algorithm 10 / 10 11 Particle Bootstrap Techniques for Large-Scale Modeling The ELD algorithm 11 / 11 12 The Bootstrap program A formal method for deriving bootstrap criteria from the ELD algorithm The ELD algorithm 12 / 12 13 The Bootstrap program a review and new results SU(N) and O(N) models H. Bavarian, A. Forster, and M. Wazowski Annecy, June 2010 Bavarian, Forster, Wazowski (Berlin) The form factor program Annecy, June 2010 1 / 24 Contents 1 2 3 The Bootstrap Program Construct a quantum ELD theory explicitly Analytic formulation Form factors equation.
The form factor program contains the following sections.
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4 The Bootstrap Program
In this section, we start with an overview of the Bootstrap program design and implementation, and then describe the implementation of both the SU(N), and O(N) models. We will use equations from the theory for both models to describe their bootstrapping strategies.
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The Bootstrap program involves the following steps that apply to both SU(N), and O(N) models. The steps are, respectively:
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Particle Bootstrapping
The ELD algorithm is a quantum dynamical description of the dynamics of a group of particles that is equivalent to a classical Euler equation. The group can be of any dimension (the size of the number is called density). The dynamical description can be used as is or can be expanded using the ELD algorithm (Figure 1). In the ELD algorithm, we use probability density functions to define an algebra of groups (this is the case of the SU(2) and SU(3) models, as described in section 8). Let be a classical dynamical description of the group of particles.
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The form factor program a review and new results SU(N) and O(N) models H. Bavarian, A. Forster, and M. Wazowski Annecy, June 2010 Bavarian, Forster, Wazowski (Berlin) The form factor program Annecy,
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