TY - JOUR

T1 - Lattice analysis of SU(2) with 1 adjoint dirac flavor

AU - Bi, Zhen

AU - Grebe, Anthony

AU - Kanwar, Gurtej

AU - Ledwith, Patrick

AU - Murphy, David

AU - Wagman, Michael L.

N1 - Funding Information:
This work is supported in part by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under grant Contract Number DE-SC0011090, and by the SciDAC4 award DESC0018121. ZB and MLW are also supported by MIT Pappalardo fellowships. The authors thank Will Detmold, Phiala Shanahan, Andrew Pochinsky, and Senthil Todadri for useful discussions.
Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).

PY - 2019

Y1 - 2019

N2 - Recently SU(2) gauge theory with one massless adjoint Dirac quark flavor emerges as a novel critical theory for the quantum phase transition between a trivial and a topological insulator in 3+1 dimensions. There are several classes of conjectured infrared dynamics for this theory. One possibility is that the theory undergoes spontaneous chiral symmetry breaking, with two massless Goldstone bosons (the scalar diquark and its antiparticle) in the infrared. Another scenario, which is suggested by previous lattice studies by Athenodorou et al., is that the IR sector of the theory is a strongly interacting conformal field theory as the quark mass vanishes. The most recent theoretical proposals argue for a case that in the infrared a composite fermion composed of two quarks and an antiquark becomes massless and non-interacting as the quark mass goes to zero, while other sectors are decoupled from this low-energy fermion. This work expands upon previous studies by including the composite fermion to investigate which of these three potential scenarios captures the infrared behavior of this theory.

AB - Recently SU(2) gauge theory with one massless adjoint Dirac quark flavor emerges as a novel critical theory for the quantum phase transition between a trivial and a topological insulator in 3+1 dimensions. There are several classes of conjectured infrared dynamics for this theory. One possibility is that the theory undergoes spontaneous chiral symmetry breaking, with two massless Goldstone bosons (the scalar diquark and its antiparticle) in the infrared. Another scenario, which is suggested by previous lattice studies by Athenodorou et al., is that the IR sector of the theory is a strongly interacting conformal field theory as the quark mass vanishes. The most recent theoretical proposals argue for a case that in the infrared a composite fermion composed of two quarks and an antiquark becomes massless and non-interacting as the quark mass goes to zero, while other sectors are decoupled from this low-energy fermion. This work expands upon previous studies by including the composite fermion to investigate which of these three potential scenarios captures the infrared behavior of this theory.

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M3 - Conference article

AN - SCOPUS:85099533797

SN - 1824-8039

VL - 363

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 127

T2 - 37th International Symposium on Lattice Field Theory, LATTICE 2019

Y2 - 16 June 2019 through 22 June 2019

ER -