New approximate solutions of the Ginsparg-Wilson equation - tests in 2-d
Christof Gattringer (MIT), Ivan Hip (NIC)
TL;DR
This paper introduces a new method for approximating solutions to the Ginsparg-Wilson equation, tested in 2D, demonstrating near-chiral symmetry in fermions and potential for extension to 4D.
Contribution
The paper presents a novel approach for approximate solutions of the Ginsparg-Wilson equation and demonstrates its effectiveness in 2D simulations, with straightforward extension to 4D.
Findings
Small pi-particle mass indicating near-chiral symmetry
Successful application in 2D Schwinger model
Method is easily extendable to 4D
Abstract
A new method for finding approximate solutions of the Ginsparg-Wilson equation is tested in 2-d. The Dirac operator is first constructed and then used in a dynamical simulation of the 2-flavor Schwinger model. We find a very small mass of the pi-particle implying almost chirally symmetric fermions. The generalization of our method to 4-d is straightforward.
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