Colorful plane vortices and chiral symmetry breaking in SU2 lattice gauge theoryReport as inadecuate




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Journal of High Energy Physics

, 2015:108

First Online: 16 October 2015Received: 12 August 2015Accepted: 28 September 2015 Abstract

We investigate plane vortices with color structure. The topological charge and gauge action of such colorful plane vortices are studied in the continuum and on the lattice. These configurations are vacuum to vacuum transitions changing the winding number between the two vacua, leading to a topological charge Q = −1 in the continuum. After growing temporal extent of these vortices, the lattice topological charge approaches −1 and the index theorem is fulfilled. We analyze the low lying modes of the overlap Dirac operator in the background of these colorful plane vortices and compare them with those of spherical vortices. They show characteristic properties for spontaneous chiral symmetry breaking.

KeywordsSpontaneous Symmetry Breaking Lattice Gauge Field Theories ArXiv ePrint: 1508.01042

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Author: Seyed Mohsen Hosseini Nejad - Manfried Faber - Roman Höllwieser

Source: https://link.springer.com/



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