Fermion actions extracted from lattice super Yang-Mills theories

Tatsuhiro Misumi

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We revisit 2D N = (2, 2) super Yang-Mills lattice formulation (Sugino model) to investigate its fermion action with two (Majorana) fermion flavors and exact chiral- U(1)R symmetry. We show that the reconcilement of chiral symmetry and absence of further species-doubling originates in the 4D clifford algebra structure of the action, where 2D two flavors are spuriously treated as a single 4D four-spinor with four 4D gamma matrices introduced into kinetic and Wilson terms. This fermion construction based on the higher-dimensional clifford algebra is extended to four dimensions in two manners: (1) pseudo-8D sixteen-spinor treatment of 4D four flavors with eight 8D gamma matrices, (2) pseudo-6D eight-spinor treatment of 4D two flavors with five out of six 6D gamma matrices. We obtain 4D four-species and two-species lattice fermions with unbroken subgroup of chiral symmetry and other essential properties. We discuss their relations to staggered and Wilson twisted-mass fermions. We also discuss their potential feedback to 4D super Yang-Mills lattice formulations.

Original languageEnglish
JournalJournal of High Energy Physics
Volume2013
Issue number12
DOIs
Publication statusPublished - 2013

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Yang-Mills theory
fermions
algebra
symmetry
matrices
formulations
subgroups
kinetics

Keywords

  • Extended supersymmetry
  • Lattice QCD
  • Lattice quantum field theory
  • Topological field theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Fermion actions extracted from lattice super Yang-Mills theories. / Misumi, Tatsuhiro.

In: Journal of High Energy Physics, Vol. 2013, No. 12, 2013.

Research output: Contribution to journalArticle

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