Daniel D. Ferrante

Daniel D. Ferrante

Chief Data and Science Officer at SFL Scientific

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A list of all the posts and pages found on the site. For you robots out there is an XML version available for digesting as well.

Pages

Posts

Future Blog Post

less than 1 minute read

Published:

This post will show up by default. To disable scheduling of future posts, edit config.yml and set future: false.

Blog Post number 4

less than 1 minute read

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This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 3

less than 1 minute read

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Blog Post number 2

less than 1 minute read

Published:

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 1

less than 1 minute read

Published:

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

portfolio

publications

Geometric Calculus and the Fibre Bundle description of Quantum Mechanics

Published in arXiv:math-ph, 2002

This work has the purpose of applying the concept of Geometric Calculus (Clifford Algebras) to the Fibre Bundle description of Quantum Mechanics. Thus, it is intended to generalize that formulation to curved spacetimes [the base space of the fibre bundle in question] in a more natural way.

Recommended citation: Daniel D. Ferrante. (2002). "Geometric Calculus and the Fibre Bundle description of Quantum Mechanics." arXiv:math-ph. https://arxiv.org/abs/math-ph/0204024

Mollified Monte Carlo

Published in Nuclear Physics. B, 2002

Using a common technique for approximating distributions [generalized functions], we are able to use standard Monte Carlo methods to compute QFT quantities in Minkowski spacetime, under phase transitions, or when dealing with coalescing stationary points.

Recommended citation: D.D. Ferrante, J. Doll, G.S. Guralnik, D. Sabo. (2003). "Mollified Monte Carlo." Nuclear Physics. B. 119(965). https://arxiv.org/abs/hep-lat/0209053

A Review Of Two Novel Numerical Methods in QFT

Published in arXiv:hep-lat, 2003

We outline two alternative schemes to perform numerical calculations in quantum field theory. In principle, both of these approaches are better suited to study phase structure than conventional Monte Carlo. The first method, Source Galerkin, is based on a numerical analysis of the Schwinger-Dyson equations using modern computer techniques. The nature of this approach makes dealing with fermions relatively straightforward, particularly since we can work on the continuum. Its ultimate success in non-trivial dimensions will depend on the power of a propagator expansion scheme which also greatly simplifies numerical calculation of traditional perturbation graphs. The second method extends Monte Carlo approaches by introducing a procedure to deal with rapidly oscillating integrals.

Recommended citation: R. Easther, D. D. Ferrante, G. S. Guralnik, D. Petrov. (2003). "A Review Of Two Novel Numerical Methods in QFT." arXiv:hep-lat. https://arxiv.org/abs/hep-lat/0306038

Mollifying Quantum Field Theory or Lattice QFT in Minkowski Spacetime and Symmetry Breaking

Published in arXiv:hep-lat, 2006

This work develops and applies the concept of mollification in order to smooth out highly oscillatory exponentials. This idea, known for quite a while in the mathematical community (mollifiers are a means to smooth distributions), is new to numerical Quantum Field Theory. It is potentially very useful for calculating phase transitions [highly oscillatory integrands in general], for computations with imaginary chemical potentials and Lattice QFT in Minkowski spacetime.

Recommended citation: D. D. Ferrante, G. S. Guralnik. (2006). "Mollifying Quantum Field Theory or Lattice QFT in Minkowski Spacetime and Symmetry Breaking." arXiv:hep-lat. https://arxiv.org/abs/hep-lat/0602013

Published in , 1900

Phase Transitions and Moduli Space Topology

Published in arXiv:hep-th, 2008

By means of an appropriate re-scaling of the metric in a Lagrangian, we are able to reduce it to a kinetic term only. This form enables us to examine the extended complexified solution set (complex moduli space) of field theories by finding all possible geodesics of this metric. This new geometrical standpoint sheds light on some foundational issues of QFT and brings to the forefront non-perturbative core aspects of field theory. In this process, we show that different phases of the theory are topologically inequivalent, i.e., their moduli space has distinct topologies. Moreover, the different phases are related by “duality transformations”, which are established by the modular structure of the theory. In conclusion, after the topological structure is elucidated, it is possible to use the Euler Characteristic in order to topologically quantize the theory, in resonance with the content of the Atiyah-Singer Index theorem.

Recommended citation: D. D. Ferrante, G. S. Guralnik. (2008). "Phase Transitions and Moduli Space Topology." arXiv:hep-th. https://arxiv.org/abs/0809.2778

Published in , 1900

talks

teaching

Video Teaching experience 3

Summer Lectures, Brown University, Physics Department, 2007

This is a description of a teaching experience. You can use markdown like any other post.

2010 Sakurai Prize

Prize, Brown University, Physics Department, 2010

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Teaching experience 1

Undergraduate course, University 1, Department, 2014

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Teaching experience 2

Workshop, University 1, Department, 2015

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