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Abstract When the gravitational Chern–Simons term is reduced from 3 to 2 dimensions, the lower dimensional theory supports a symmetry breaking solution and an associated kink. Kinks in general… (More)

Abstract The path integral by which quantum field theories are defined is a particular solution of a set of functional differential equations arising from the Schwinger action principle. In fact… (More)

I discuss historical material about the beginning of the ideas of spontaneous symmetry breaking and particularly the role of the paper by Guralnik, Hagen and Kibble in this development. I do so… (More)

Abstract Stationary distributions of complex Langevin equations are shown to be the complexified path integral solutions of the Schwinger–Dyson equations of the associated quantum field theory.… (More)

- James A. Anderson, Paul Allopenna, +5 authors Brian T. Merritt
- Challenges for Computational Intelligence
- 2007

There is a complex relationship between the architecture of a computer, the software it needs to run, and the tasks it performs. The most difficult aspect of building a brain-like computer may not be… (More)

- Zachary Guralnik, Cengiz Pehlevan, Gerald S. Guralnik
- Chaos
- 2012

We study the asymptotic behavior of the Hopf characteristic function of fractals and chaotic dynamical systems in the limit of large argument. The small argument behavior is determined by the… (More)

We develop novel methods to compute auto-correlation functions, or power spectral densities, for chaotic dynamical systems generated by an inverse method whose starting point is an invariant… (More)

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… (More)

- Gerald S. Guralnik, J. Doll, +5 authors Devin Sabo
- 2003

Two new approaches to numerical QFT are presented.