Green Function

Regina Valluzzi

Arlington, United States

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Artist's Description

A pun on a common path integral
Oil on linen, 12" by 12" original
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 topolgical 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.

One of a series of paintings addressing scientific imagery as metaphorical visual information. Through a change of context, these paintings (and drawings) explore an communicate the experiential aspects of investigation and discovery. By providing an alternative abstracted depiction of worlds an ideas that cannot be directly seen, a connection is built to the everyday world of objects.

Artwork Comments

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desktop tablet-landscape content-width tablet-portrait workstream-4-across phone-landscape phone-portrait

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