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2016

Novel phases in strongly coupled four-fermion theories

Catterall, Simon, Schaich, David

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We study a lattice model comprising four massless reduced staggered fermions in four dimensions coupled through an $SU(4)$-invariant four-fermion interaction.

We present both theoretical arguments and numerical evidence that no bilinear fermion condensates are present for any value of the four-fermi coupling, in contrast to earlier studies of Higgs--Yukawa models with different exact lattice symmetries.
At strong coupling we observe the formation of a four-fermion condensate and a mass gap in spite of the absence of bilinear condensates.
Unlike those previously studied systems we do not find a ferromagnetic phase separating this strong-coupling phase from the massless weak-coupling phase.

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E. Witten, Nucl. Phys. B145
1978
Earlier work this paper cites.
T. Banks, Y. Dothan, and D. Horn, Phys. Lett. B117
1982
Earlier work this paper cites.
C. van den Doel and J. Smit, Nucl. Phys. B228
1983
Earlier work this paper cites.
M. F. L. Golterman and J. Smit, Nucl. Phys. B245
1984
Earlier work this paper cites.
E. Eichten and J. Preskill, Nucl. Phys. B268
1986
Earlier work this paper cites.
D. Stephenson and A. Thornton, Phys. Lett. B212
1988
Earlier work this paper cites.
A. Hasenfratz and T. Neuhaus, Phys. Lett. B220
1989
Earlier work this paper cites.
W. Bock and A. K. De, Phys. Lett. B245
1990
Earlier work this paper cites.

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