Fermion masses through four-fermion condensates

Ayyar, Venkitesh; Chandrasekharan, Shailesh

doi:10.1007/JHEP10(2016)058

Title: Fermion masses through four-fermion condensates

Journal Article · Wed Oct 12 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP10(2016)058· OSTI ID:1361623

Ayyar, Venkitesh ^[1]; Chandrasekharan, Shailesh ^[1]

Duke Univ., Durham, NC (United States)

Fermion masses can be generated through four-fermion condensates when symmetries prevent fermion bilinear condensates from forming. This less explored mechanism of fermion mass generation is responsible for making four reduced staggered lattice fermions massive at strong couplings in a lattice model with a local four-fermion coupling. The model has a massless fermion phase at weak couplings and a massive fermion phase at strong couplings. In particular there is no spontaneous symmetry breaking of any lattice symmetries in both these phases. Recently it was discovered that in three space-time dimensions there is a direct second order phase transition between the two phases. Here we study the same model in four space-time dimensions and find results consistent with the existence of a narrow intermediate phase with fermion bilinear condensates, that separates the two asymptotic phases by continuous phase transitions.

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Research Organization:: Duke Univ., Durham, NC (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-05ER41368

OSTI ID:: 1361623

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 10; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 24 works

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Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories Kikukawa, Yoshio arXiv https://doi.org/10.48550/arxiv.1710.11101	text	January 2017
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