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Fermion masses through four-fermion condensates

Publication ,  Journal Article
Ayyar, V; Chandrasekharan, S
Published in: Journal of High Energy Physics
October 1, 2016

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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Published In

Journal of High Energy Physics

DOI

EISSN

1029-8479

ISSN

1126-6708

Publication Date

October 1, 2016

Volume

2016

Issue

10

Related Subject Headings

  • Nuclear & Particles Physics
  • 5107 Particle and high energy physics
  • 5106 Nuclear and plasma physics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0105 Mathematical Physics
 

Citation

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Ayyar, V., & Chandrasekharan, S. (2016). Fermion masses through four-fermion condensates. Journal of High Energy Physics, 2016(10). https://doi.org/10.1007/JHEP10(2016)058
Ayyar, V., and S. Chandrasekharan. “Fermion masses through four-fermion condensates.” Journal of High Energy Physics 2016, no. 10 (October 1, 2016). https://doi.org/10.1007/JHEP10(2016)058.
Ayyar V, Chandrasekharan S. Fermion masses through four-fermion condensates. Journal of High Energy Physics. 2016 Oct 1;2016(10).
Ayyar, V., and S. Chandrasekharan. “Fermion masses through four-fermion condensates.” Journal of High Energy Physics, vol. 2016, no. 10, Oct. 2016. Scopus, doi:10.1007/JHEP10(2016)058.
Ayyar V, Chandrasekharan S. Fermion masses through four-fermion condensates. Journal of High Energy Physics. 2016 Oct 1;2016(10).
Journal cover image

Published In

Journal of High Energy Physics

DOI

EISSN

1029-8479

ISSN

1126-6708

Publication Date

October 1, 2016

Volume

2016

Issue

10

Related Subject Headings

  • Nuclear & Particles Physics
  • 5107 Particle and high energy physics
  • 5106 Nuclear and plasma physics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0105 Mathematical Physics