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2018

$SO(4)$ invariant Higgs-Yukawa model with reduced staggered fermions

Butt, Nouman, Catterall, Simon, Schaich, David

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We explore the phase structure of a four dimensional $SO(4)$ invariant lattice Higgs-Yukawa model comprising four reduced staggered fermions interacting with a real scalar field.

The fermions belong to the fundamental representation of the symmetry group while the three scalar field components transform in the self-dual representation of $SO(4)$.
The model is a generalization of a four fermion system with the same symmetries that has received recent attention because of its unusual phase structure comprising massless and massive symmetric phases separated by a very narrow phase in which a small bilinear condensate breaking $SO(4)$ symmetry is present.
The generalization described in this paper simply consists of the addition of a scalar kinetic term.

$SO(4)$ invariant Higgs-Yukawa model with reduced staggered fermions · Around

Built on

D. Stephenson and A. Thornton, “Nonperturbative Yukawa Couplings,” Phys. Lett. B212
1988
Earlier work this paper cites.
A. Hasenfratz and T. Neuhaus, “Nonperturbative Study of the Strongly Coupled Scalar Fermion Model,” Phys. Lett. B220
1989
Earlier work this paper cites.
W. Bock and A. K. De, “Unquenched Investigation of Fermion Masses in a Chiral Fermion Theory on the Lattice,” Phys. Lett. B245
1990
Earlier work this paper cites.
A. Abada and R. E. Shrock, “Results from a strong coupling expansion for a lattice Yukawa model with a real scalar field,” Phys. Rev. D43
1991
Earlier work this paper cites.
A. Hasenfratz, P. Hasenfratz, K. Jansen, J. Kuti, and Y. Shen, “The Equivalence of the top quark condensate and the elementary Higgs field,” Nucl. Phys. B365
1991
Earlier work this paper cites.

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D. Schaich and S. Catterall, “Phases of a strongly coupled four-fermion theory,” EPJ Web Conf. 175
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S. Catterall and N. Butt, “Topology and strong four fermion interactions in four dimensions,” Phys. Rev. D97

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2016

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V. Ayyar and S. Chandrasekharan, “Origin of fermion masses without spontaneous symmetry breaking,” Phys. Rev. D93

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V. Ayyar and S. Chandrasekharan, “Fermion masses through four-fermion condensates,” JHEP 10

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I.-H. Lee, J. Shigemitsu, and R. E. Shrock, “Lattice Study of a Yukawa Theory With a Real Scalar Field,” Nucl. Phys. B330

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I.-H. Lee, J. Shigemitsu, and R. E. Shrock, “Study of Different Lattice Formulations of a Yukawa Model With a Real Scalar Field,” Nucl. Phys. B334

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P. Gerhold and K. Jansen, “The Phase structure of a chirally invariant lattice Higgs-Yukawa model for small and for large values of the Yukawa coupling constant,” JHEP 0709

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P. Gerhold and K. Jansen, “The Phase structure of a chirally invariant lattice Higgs-Yukawa model - numerical simulations,” JHEP 0710

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2018

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