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3+1 dimensional topological field theory as the effective action of neutral fermions

2012/05/09 by Omer Faruk Dayi, O. F. Dayi, Dayi, O. F. +3
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum many-body systems #Topological Materials and Phenomena #cond-mat.mes-hall #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1205.1967

7 pages. Title and presentation amended

openalex publication_date 2012/05/09 · arxiv created 2013/07/08 · arxiv updated 2013/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We proposed an action of neutral fermions interacting with external electromagnetic fields to construct a 3+1 dimensional topological field theory as the effective action attained by integrating out the fermionic fields in the related path integral. These neutral quasiparticles are assumed to emerge from the collective behavior of the original physical particles and holes (antiparticles). Although our construction is general it is particularly useful to formulate effective actions of the time reversal invariant topological insulators.

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