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Title: Massive fermions without fermion bilinear condensates

Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 91; Journal Issue: 6; Journal ID: ISSN 1550-7998
American Physical Society
Country of Publication:
United States

Citation Formats

Ayyar, Venkitesh, and Chandrasekharan, Shailesh. Massive fermions without fermion bilinear condensates. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.91.065035.
Ayyar, Venkitesh, & Chandrasekharan, Shailesh. Massive fermions without fermion bilinear condensates. United States. doi:10.1103/PhysRevD.91.065035.
Ayyar, Venkitesh, and Chandrasekharan, Shailesh. 2015. "Massive fermions without fermion bilinear condensates". United States. doi:10.1103/PhysRevD.91.065035.
title = {Massive fermions without fermion bilinear condensates},
author = {Ayyar, Venkitesh and Chandrasekharan, Shailesh},
abstractNote = {},
doi = {10.1103/PhysRevD.91.065035},
journal = {Physical Review D},
number = 6,
volume = 91,
place = {United States},
year = 2015,
month = 3

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.91.065035

Citation Metrics:
Cited by: 10works
Citation information provided by
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  • An alternative pattern of chiral symmetry breaking, suggested recently, is investigated. It could be self-consistent provided that the chiral SU(N{sub f}){times}SU(N{sub f}) symmetry is broken spontaneously down to SU(N{sub f}){times}Z{sub N{sub f}} rather than to SU(N{sub f}){sub V}. The discrete axial Z{sub N{sub f}} then would play a custodial role, preventing the quark bilinears from condensation. It is shown that this pattern of chiral symmetry breaking is ruled out in QCD by exact inequalities. It is not ruled out, however, in other gauge theories with scalar quarks and/or Yukawa couplings. {copyright} {ital 1998} {ital The American Physical Society}
  • It is shown that an arbitrary fermion hopping Hamiltonian can be mapped into a system with no fermion fields, generalizing an earlier model of Levin and Wen. All operators in the Hamiltonian of the resulting description commute (rather than anticommute) when acting at different sites, despite the system having excitations obeying Fermi statistics. While extra conserved degrees of freedom are introduced, they are all locally identified in the representation obtained. The same methods apply to Majorana (half) fermions, which for Cartesian lattices mitigate the fermion doubling problem. The generality of these results suggests that the observation of Fermion excitations inmore » nature does not demand that anticommuting Fermion fields be fundamental.« less
  • To investigate the viability of the 4th root trick for the staggered fermion determinant in a simpler setting, we consider a 2-taste (flavor) lattice fermion formulation with no taste mixing but with exact taste-nonsinglet chiral symmetries analogous to the taste-nonsinglet U(1){sub A} symmetry of staggered fermions. Creutz's objections to the rooting trick apply just as much in this setting. To counter them we show that the formulation has robust would-be zero modes in topologically nontrivial gauge backgrounds, and that these manifest themselves in a viable way in the rooted fermion determinant and also in the disconnected piece of the pseudoscalarmore » meson propagator as required to solve the U(1) problem. Also, our rooted theory is heuristically seen to be in the right universality class for QCD if the same is true for an unrooted mixed fermion action theory.« less
  • Renormalization factors for bilinear and four-quark operators with the Kogut-Susskind fermion action are perturbatively calculated to one-loop order in the general covariant gauge. Results are presented both for gauge-invariant and -noninvariant operators. For four-quark operators the full renormalization matrix for a complete set of operators with two types of color contraction structures is worked out and detailed numerical tables are given.
  • E/sub 8/ algebra constructed as bilinear fermions in the bases of SU(9) and (SU(3))/sup 4/ is used to obtain the generators in the bases of the maximal subgroups SO(16), E/sub 7/ x SU(2), and SU(5) x SU(5). The representation of the generators in the Tits subgroup F/sub 4/ x G/sub 2/ is also obtained using the (SU(3))/sup 4/ basis. Simple methods are developed to go from one basis to the other bases. Generators of the exceptional subgroups E/sub 7/, E/sub 6/, and F/sub 4/ are decomposed with respect to their respective Tits subgroups SP(6) x G/sub 2/, SU(3) x G/submore » 2/, and SO(3) x G/sub 2/. The possible roles of these subgroups in the symmetry breaking of E/sub 8/ are merely indicated.« less