Fermion mass without symmetry breaking

Catterall, Simon

doi:10.1007/JHEP01(2016)121

Title: Fermion mass without symmetry breaking

Journal Article · Wed Jan 20 00:00:00 EST 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP01(2016)121· OSTI ID:1358550

Catterall, Simon ^[1]

Syracuse Univ., Syracuse, NY (United States). Dept. of Physics

We examine a model of reduced staggered fermions in three dimensions interacting through an SO (4) invariant four fermion interaction. The model is similar to that considered in a recent paper by Ayyer and Chandrasekharan. We present theoretical arguments and numerical evidence which support the idea that the system develops a mass gap for sufficiently strong four fermi coupling without producing a symmetry breaking fermion bilinear condensate. As a result, massless and massive phases appear to be separated by a continuous phase transition.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Syracuse Univ., NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)

Grant/Contract Number:: SC0009998; PHY-1066293; PHY11-25915

OSTI ID:: 1358550

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 1; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 29 works

Citation information provided by
Web of Science

References (15)

Dynamical symmetry breaking in two flavor SU(N) and SO(N) lattice gauge theories Van den Doel, Cees; Smit, Jan Nuclear Physics B, Vol. 228, Issue 1 https://doi.org/10.1016/0550-3213(83)90401-7	journal	November 1983
Self-energy and flavor interpretation of staggered fermions Golterman, Maarten F. L.; Smit, Jan Nuclear Physics B, Vol. 245 https://doi.org/10.1016/0550-3213(84)90424-3	journal	January 1984
Fermion-Higgs model with reduced staggered fermions Bock, Wolfgang; Smit, Jan; Vink, Jeroen C. Physics Letters B, Vol. 291, Issue 3 https://doi.org/10.1016/0370-2693(92)91049-F	journal	September 1992
Interacting topological insulator and emergent grand unified theory You, Yi-Zhuang; Xu, Cenke Physical Review B, Vol. 91, Issue 12 https://doi.org/10.1103/PhysRevB.91.125147	journal	March 2015
Non-perturbative Yukawa couplings Stephenson, D.; Thornton, A. Physics Letters B, Vol. 212, Issue 4 https://doi.org/10.1016/0370-2693(88)91800-X	journal	October 1988
Chiral Lattice Gauge Theories via Mirror–Fermion Decoupling: a Mission (Im)Possible? Poppitz, Erich; Shang, Yanwen International Journal of Modern Physics A, Vol. 25, Issue 14 https://doi.org/10.1142/S0217751X10049852	journal	June 2010
Lattice study of a Yukawa theory with a real scalar field Lee, I-Hsiu; Shigemitsu, Junko; Shrock, Robert E. Nuclear Physics B, Vol. 330, Issue 1 https://doi.org/10.1016/0550-3213(90)90309-2	journal	January 1990
Breakdown of the topological classification $Z$ for gapped phases of noninteracting fermions by quartic interactions Morimoto, Takahiro; Furusaki, Akira; Mudry, Christopher Physical Review B, Vol. 92, Issue 12 https://doi.org/10.1103/PhysRevB.92.125104	journal	September 2015
Absence of chiral fermions in the Eichten-Preskill model Golterman, Maarten F. L.; Petcher, Donald N.; Rivas, Elena Nuclear Physics B, Vol. 395, Issue 3 https://doi.org/10.1016/0550-3213(93)90049-U	journal	May 1993
Exotic quantum phase transitions of strongly interacting topological insulators Slagle, Kevin; You, Yi-Zhuang; Xu, Cenke Physical Review B, Vol. 91, Issue 11 https://doi.org/10.1103/PhysRevB.91.115121	journal	March 2015
Non-perturbative study of the strongly coupled scalar-fermion model Hasenfratz, Anna; Neuhaus, Thomas Physics Letters B, Vol. 220, Issue 3 https://doi.org/10.1016/0370-2693(89)90899-X	journal	April 1989
The equivalence of the top quark condensate and the elementary Higgs field Hasenfratz, Anna; Hasenfratz, Peter; Jansen, Karl Nuclear Physics B, Vol. 365, Issue 1 https://doi.org/10.1016/0550-3213(91)90607-Y	journal	November 1991
Exact 2+1 Flavour RHMC Simulations Clark, M. A.; Kennedy, A. D.; Sroczynski, Z. Nuclear Physics B - Proceedings Supplements, Vol. 140 https://doi.org/10.1016/j.nuclphysbps.2004.11.192	journal	March 2005
Interacting Topological Insulator and Emergent Grand Unified Theory You, Yi-Zhuang; Xu, Cenke arXiv https://doi.org/10.48550/arxiv.1412.4784	text	January 2014
Exact 2+1 flavour RHMC simulations Clark, M. A.; Kennedy, A. D.; Sroczynski, Z. arXiv https://doi.org/10.48550/arxiv.hep-lat/0409133	text	January 2004

Cited By (11)

New linearization and reweighting for simulations of string sigma-model on the lattice Bianchi, L.; Forini, V.; Leder, B. Journal of High Energy Physics, Vol. 2020, Issue 1 https://doi.org/10.1007/jhep01(2020)174	journal	January 2020
Confinement transition of ℤ ₂ gauge theories coupled to massless fermions: Emergent quantum chromodynamics and SO (5) symmetry Gazit, Snir; Assaad, Fakher F.; Sachdev, Subir Proceedings of the National Academy of Sciences, Vol. 115, Issue 30 https://doi.org/10.1073/pnas.1806338115	journal	July 2018
Why is the mission impossible? Decoupling the mirror Ginsparg–Wilson fermions in the lattice models for two-dimensional Abelian chiral gauge theories Kikukawa, Y. Progress of Theoretical and Experimental Physics, Vol. 2019, Issue 7 https://doi.org/10.1093/ptep/ptz055	journal	July 2019
UV perspective on mixed anomalies at critical points between bosonic symmetry-protected phases Bultinck, Nick Physical Review B, Vol. 100, Issue 16 https://doi.org/10.1103/physrevb.100.165132	journal	October 2019
Absence of chiral symmetry breaking in Thirring models in $1 + 2$ dimensions Lenz, Julian J.; Wellegehausen, Björn H.; Wipf, Andreas Physical Review D, Vol. 100, Issue 5 https://doi.org/10.1103/physrevd.100.054501	journal	September 2019
Novel phases in strongly coupled four-fermion theories Catterall, Simon; Schaich, David Alexander American Physical Society https://doi.org/10.7892/boris.106413	text	January 2017
Origin of fermion masses without spontaneous symmetry breaking Ayyar, Venkitesh; Chandrasekharan, Shailesh arXiv https://doi.org/10.48550/arxiv.1511.09071	text	January 2015
Generating a non-perturbative mass gap using Feynman diagrams in an asymptotically free theory Ayyar, Venkitesh; Chandrasekharan, Shailesh arXiv https://doi.org/10.48550/arxiv.1709.06048	text	January 2017
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
A UV perspective on mixed anomalies at critical points between bosonic symmetry-protected phases Bultinck, Nick arXiv https://doi.org/10.48550/arxiv.1905.05790	text	January 2019
New linearization and reweighting for simulations of string sigma-model on the lattice Bianchi, Lorenzo; Forini, Valentina; Leder, Björn arXiv https://doi.org/10.48550/arxiv.1910.06912	text	January 2019

Similar Records

Novel phases in strongly coupled four-fermion theories

Journal Article · Mon Aug 07 00:00:00 EDT 2017 · Physical Review. D. · OSTI ID:1358550

Catterall, Simon; Schaich, David

S O (4)

invariant Higgs-Yukawa model with reduced staggered fermions

Journal Article · Wed Dec 26 00:00:00 EST 2018 · Physical Review D · OSTI ID:1358550

Butt, Nouman; Catterall, Simon; Schaich, David

Topology and strong four fermion interactions in four dimensions

Journal Article · Mon May 07 00:00:00 EDT 2018 · Physical Review D · OSTI ID:1358550

Catterall, Simon; Butt, Nouman

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
spontaneous symmetry breaking
lattice quantum field theory

Title: Fermion mass without symmetry breaking

Citation Formats

References (15)

Cited By (11)

Similar Records

Related Subjects