1. New term in effective field theory at fixed topology
- Author
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Kieburg, M., Lauritzen, M., Søgaard, B. T., and Splittorff, K.
- Subjects
High Energy Physics - Lattice ,Condensed Matter - Disordered Systems and Neural Networks ,High Energy Physics - Phenomenology ,High Energy Physics - Theory - Abstract
A random matrix model for lattice QCD which takes into account the positive definite nature of the Wilson term is introduced. The corresponding effective theory for fixed index of the Wilson Dirac operator is derived to next to leading order. It reveals a new term proportional to the topological index of the Wilson Dirac operator and the lattice spacing. The new term appears naturally in a fixed index spurion analysis. The spurion approach reveals that the term is the first in a new family of such terms and that equivalent terms are relevant for the effective theory of continuum QCD., Comment: 22 pages, 2 figures, version to appear in PRD more...
- Published
- 2020
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