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Momentum space topology in the lattice gauge theory

2012/10/06 by M. A. Zubkov, Zubkov, M. A.
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum many-body systems #Topological Materials and Phenomena #hep-lat

paper · pdf · doi:10.48550/arxiv.1210.1989

Proceedings of QUARKS-2012, 17th International Seminar on High Energy Physics, Yaroslavl, Russia, 4-10 June, 2012

arxiv created 2012/10/06 · openalex publication_date 2012/10/06 · arxiv updated 2012/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Momentum space topology of relativistic gauge theory is considered. The topological invariants in momentum space are introduced for the case, when there is the mass gap while the fermion Green functions admit zeros. The index theorem is formulated that relates the number of massless particles and generalized unparticles at the phase transitions to the jumps of the topological invariants. The pattern is illustrated by the lattice model with overlap fermions.

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