Wilson Fermions with Four Fermion Interactions

Jarno Rantaharju, Vincent Drach, Ari Hietanen, Claudio Pica, Francesco Sannino

Research output: Contribution to journalConference articleResearch

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Abstract

We present a lattice study of a four fermion theory, known as Nambu Jona-Lasinio (NJL) theory, via Wilson fermions. Four fermion interactions naturally occur in several extensions of the Standard Model as a low energy parameterisation of a more fundamental theory. In models of dynamical electroweak symmetry breaking these operators, at an effective level, are used to endow the Standard Model fermions with masses. Furthermore these operators, when sufficiently strong, can drastically modify the fundamental composite dynamics by, for example, turning a strongly coupled infrared conformal theory into a (near) conformal one with desirable features for model building. As first step, we study spontaneous chiral symmetry breaking for the lattice version of the NJL model.
Original languageEnglish
JournalP o S - Proceedings of Science
Volume251
Number of pages7
ISSN1824-8039
DOIs
Publication statusPublished - 12. Nov 2015
Event33rd International Symposium on Lattice Field Theory - Kobe Convention Center, Kobe, Japan
Duration: 14. Jul 201518. Jul 2015

Conference

Conference33rd International Symposium on Lattice Field Theory
LocationKobe Convention Center
CountryJapan
CityKobe
Period14/07/201518/07/2015

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fermions
broken symmetry
interactions
operators
parameterization
composite materials
energy

Keywords

  • hep-lat

Cite this

Rantaharju, Jarno ; Drach, Vincent ; Hietanen, Ari ; Pica, Claudio ; Sannino, Francesco. / Wilson Fermions with Four Fermion Interactions. In: P o S - Proceedings of Science. 2015 ; Vol. 251.
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Wilson Fermions with Four Fermion Interactions. / Rantaharju, Jarno; Drach, Vincent; Hietanen, Ari; Pica, Claudio; Sannino, Francesco.

In: P o S - Proceedings of Science, Vol. 251, 12.11.2015.

Research output: Contribution to journalConference articleResearch

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T1 - Wilson Fermions with Four Fermion Interactions

AU - Rantaharju, Jarno

AU - Drach, Vincent

AU - Hietanen, Ari

AU - Pica, Claudio

AU - Sannino, Francesco

PY - 2015/11/12

Y1 - 2015/11/12

N2 - We present a lattice study of a four fermion theory, known as Nambu Jona-Lasinio (NJL) theory, via Wilson fermions. Four fermion interactions naturally occur in several extensions of the Standard Model as a low energy parameterisation of a more fundamental theory. In models of dynamical electroweak symmetry breaking these operators, at an effective level, are used to endow the Standard Model fermions with masses. Furthermore these operators, when sufficiently strong, can drastically modify the fundamental composite dynamics by, for example, turning a strongly coupled infrared conformal theory into a (near) conformal one with desirable features for model building. As first step, we study spontaneous chiral symmetry breaking for the lattice version of the NJL model.

AB - We present a lattice study of a four fermion theory, known as Nambu Jona-Lasinio (NJL) theory, via Wilson fermions. Four fermion interactions naturally occur in several extensions of the Standard Model as a low energy parameterisation of a more fundamental theory. In models of dynamical electroweak symmetry breaking these operators, at an effective level, are used to endow the Standard Model fermions with masses. Furthermore these operators, when sufficiently strong, can drastically modify the fundamental composite dynamics by, for example, turning a strongly coupled infrared conformal theory into a (near) conformal one with desirable features for model building. As first step, we study spontaneous chiral symmetry breaking for the lattice version of the NJL model.

KW - hep-lat

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DO - 10.22323/1.251.0228

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JO - P o S - Proceedings of Science

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