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Two-flavor adjoint QCD

Anber, Mohamed M.; Poppitz, Erich

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Erich Poppitz


We study four-dimensional S U ( 2 ) Yang-Mills theory with two massless adjoint Weyl fermions. When compactified on a spatial circle of size L much smaller than the strong-coupling scale, this theory can be solved by weak-coupling nonperturbative semiclassical methods. We study the possible realizations of symmetries in the R 4 limit and find that all continuous and discrete 0-form and 1-form ’t Hooft anomaly-matching conditions are saturated by a symmetry realization and massless spectrum identical to that found in the small- L limit, with only a single massless flavor-doublet fermion in the infrared. This observation raises the possibility that the class of theories which undergo no phase transition between the analytically solvable small-size circle and strongly coupled infinite-size circle is larger than previously thought and offers new challenges for lattice studies.


Anber, M. M., & Poppitz, E. (2018). Two-flavor adjoint QCD. Physical Review D, 98(3), Article 034026.

Journal Article Type Article
Online Publication Date Aug 28, 2018
Publication Date Aug 1, 2018
Deposit Date Oct 3, 2021
Publicly Available Date Oct 5, 2021
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 98
Issue 3
Article Number 034026


Published Journal Article (139 Kb)

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Copyright Statement
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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