Green functions

Green Functions

Piece description from the artist

A pun on a common path integral. Green functions are a special type of integral that are used in Physics disciplines like the Mathematical physics of Particles and Fields. In calculus, integrals provide methods for adding up functions and trends. Everyday single integrals work in 2 dimensions. A function creates a curve on the plane and solving its integral tells you how much total area the function covers.

Green functions and path integrals can be very useful for examining functions that exist in fields – where instead of an empty paper or box, each piece of the space holding the function has values associated with it (electric field strength, color, temperature, etc). How much of the value does the path pass through as it moves through the field? The Green Function is related to a path integral but is more complex. When statistical possible particle paths are summed up to get an observation, it helps to translate them into topological Feynmann diagrams, work with the algebra of those diagrams and then translate the result back into calculus using the Green Function.

They are generally pretty hard to solve, and as you can see in the painting, the grad students made several failed attempts at numerically cutting up and solving the Green function, and one or two bold souls may have tried to renormalize the surrounding field.

The people interested in Green's Functions are Theoretical physicists and applied mathematicians.

Other works by Regina Valluzzi

About Regina Valluzzi

Waltham, MA

Dr. Regina Valluzzi has an extensive scientific background in nanotechnology and biophysics. She has been a scientist in the chemical industry, a green chemistry researcher, a research professor at the engineering school at Tufts, a start-up founder engaged in technology commercialization, and a start-up and commercialization consultant.

Even during periods of intense activity as a scientist, Dr. Valluzzi has always held a strong interest in the visual arts and in visual information. While she majored in Materials Science at MIT, she also obtained a second degree in music and a minor in visual studies. Visual arts have managed to permeate her technical work; during her Ph.D in Polymer Science and Engineering at UMass Amherst, she completed a thesis that required advanced electron microscopy, image analysis, and theoretical data modeling. These experiences provided the visual insight and information that now influences much of her artwork.

Dr. Valluzzi’s work has been included in private collections across the US, UK, Germany, Canada, Japan, Netherlands, Switzerland, Bulgaria, Dubai and Malta, and in the corporate collection of "Seyfarth Shaw" Boston law offices around Boston. She has a selection of pieces on loan to the MIT Materials Science and Engineering Department as indoor public art. Her accomplishments include having published thirty articles in peer-reviewed scientific journals, having made several scientific patents, having been a subject matter expert for an encyclopedia chapter, and having been invited to speak at science talks across the US, Europe, and Japan.

Her newsletter is a good source of ongoing information:

See Regina's portfolio here

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