Abstract
We study SU(Nc) gauge theories with Dirac fermions in representations ℛ of nonzero N -ality, coupled to axions. These theories have an exact discrete chiral symmetry, which has a mixed ’t Hooft anomaly with general baryon-color-flavor backgrounds, called the “BCF anomaly” in [1]. The infrared theory also has an emergent \( {\mathrm{\mathbb{Z}}}_{N_c}^{(1)} \) 1-form center symmetry. We show that the BCF anomaly is matched in the infrared by axion domain walls. We argue that \( {\mathrm{\mathbb{Z}}}_{N_c}^{(1)} \) is spontaneously broken on axion domain walls, so that nonzero N -ality Wilson loops obey the perimeter law and probe quarks are deconfined on the walls. We give further support to our conclusion by using a calculable small-circle compactification to study the multi-scale structure of the axion domain walls and the microscopic physics of deconfinement on their worldvolume.
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References
M.M. Anber and E. Poppitz, On the baryon-color-flavor (BCF) anomaly in vector-like theories, JHEP 11 (2019) 063 [arXiv:1909.09027] [INSPIRE].
G. ’t Hooft, Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking, NATO Sci. Ser. B 59 (1980) 135 [INSPIRE].
D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett, Generalized global symmetries, JHEP 02 (2015) 172 [arXiv:1412.5148] [INSPIRE].
D. Gaiotto, A. Kapustin, Z. Komargodski and N. Seiberg, Theta, time reversal and temperature, JHEP 05 (2017) 091 [arXiv:1703.00501] [INSPIRE].
D. Gaiotto, Z. Komargodski and N. Seiberg, Time-reversal breaking in QCD4 , walls and dualities in 2 + 1 dimensions, JHEP 01 (2018) 110 [arXiv:1708.06806] [INSPIRE].
Z. Komargodski, T. Sulejmanpasic and M. Ünsal, Walls, anomalies and deconfinement in quantum antiferromagnets, Phys. Rev. B 97 (2018) 054418 [arXiv:1706.05731] [INSPIRE].
Y. Tanizaki, Anomaly constraint on massless QCD and the role of Skyrmions in chiral symmetry breaking, JHEP 08 (2018) 171 [arXiv:1807.07666] [INSPIRE].
Z. Wan and J. Wang, Higher anomalies, higher symmetries and cobordisms I: classification of higher-symmetry-protected topological states and their boundary fermionic/bosonic anomalies via a generalized cobordism theory, Ann. Math. Sci. Appl. 4 (2019) 107 [arXiv:1812.11967] [INSPIRE].
C. Córdova, D.S. Freed, H.T. Lam and N. Seiberg, Anomalies in the space of coupling constants and their dynamical applications I, SciPost Phys. 8 (2020) 001 [arXiv:1905.09315] [INSPIRE].
C. Córdova, D.S. Freed, H.T. Lam and N. Seiberg, Anomalies in the space of coupling constants and their dynamical applications II, SciPost Phys. 8 (2020) 002 [arXiv:1905.13361] [INSPIRE].
M.M. Anber, Self-conjugate QCD, JHEP 10 (2019) 042 [arXiv:1906.10315] [INSPIRE].
S. Bolognesi, K. Konishi and A. Luzio, Gauging 1-form center symmetries in simple SU(N ) gauge theories, JHEP 01 (2020) 048 [arXiv:1909.06598] [INSPIRE].
C. Córdova and K. Ohmori, Anomaly obstructions to symmetry preserving gapped phases, arXiv:1910.04962 [INSPIRE].
I. Hason, Z. Komargodski and R. Thorngren, Anomaly matching in the symmetry broken phase: domain walls, CPT and the Smith isomorphism, arXiv:1910.14039 [INSPIRE].
J. Wang, Y.-Z. You and Y. Zheng, Gauge enhanced quantum criticality and time reversal domain wall: SU(2) Yang-Mills dynamics with topological terms, Phys. Rev. Research. 2 (2020) 013189 [arXiv:1910.14664] [INSPIRE].
Z. Wan, J. Wang and Y. Zheng, Higher anomalies, higher symmetries and cobordisms II: applications to quantum gauge theories, arXiv:1912.13504 [INSPIRE].
Z. Wan and J. Wang, Higher anomalies, higher symmetries and cobordisms III: QCD matter phases anew, arXiv:1912.13514 [INSPIRE].
C. Córdova and K. Ohmori, Anomaly constraints on gapped phases with discrete chiral symmetry, arXiv:1912.13069 [INSPIRE].
G. Gabadadze and M. Shifman, QCD vacuum and axions: what’s happening?, Int. J. Mod. Phys. A 17 (2002) 3689 [hep-ph/0206123] [INSPIRE].
Z. Komargodski, Baryons as quantum Hall droplets, arXiv:1812.09253 [INSPIRE].
M. Ünsal, Magnetic bion condensation: a new mechanism of confinement and mass gap in four dimensions, Phys. Rev. D 80 (2009) 065001 [arXiv:0709.3269] [INSPIRE].
M. Ünsal and L.G. Yaffe, Center-stabilized Yang-Mills theory: confinement and large N volume independence, Phys. Rev. D 78 (2008) 065035 [arXiv:0803.0344] [INSPIRE].
M.M. Anber, E. Poppitz and T. Sulejmanpasic, Strings from domain walls in supersymmetric Yang-Mills theory and adjoint QCD, Phys. Rev. D 92 (2015) 021701 [arXiv:1501.06773] [INSPIRE].
Y. Tanizaki and M. Ünsal, Modified instanton sum in QCD and higher-groups, arXiv:1912.01033 [INSPIRE].
A.A. Cox, E. Poppitz and S.S.Y. Wong, Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow, JHEP 12 (2019) 011 [arXiv:1909.10979] [INSPIRE].
G.V. Dunne and M. Ünsal, New nonperturbative methods in quantum field theory: from large-N orbifold equivalence to bions and resurgence, Ann. Rev. Nucl. Part. Sci. 66 (2016) 245 [arXiv:1601.03414] [INSPIRE].
C. Choi, D. Delmastro, J. Gomis and Z. Komargodski, Dynamics of QCD3 with rank-two quarks and duality, JHEP 03 (2020) 078 [arXiv:1810.07720] [INSPIRE].
Y. Hidaka, M. Nitta and R. Yokokura, Emergent discrete 3-form symmetry and domain walls, Phys. Lett. B 803 (2020) 135290 [arXiv:1912.02782] [INSPIRE].
A. Kapustin and N. Seiberg, Coupling a QFT to a TQFT and duality, JHEP 04 (2014) 001 [arXiv:1401.0740] [INSPIRE].
N. Seiberg, Y. Tachikawa and K. Yonekura, Anomalies of duality groups and extended conformal manifolds, PTEP 2018 (2018) 073B04 [arXiv:1803.07366] [INSPIRE].
P.-S. Hsin, H.T. Lam and N. Seiberg, Comments on one-form global symmetries and their gauging in 3d and 4d, SciPost Phys. 6 (2019) 039 [arXiv:1812.04716] [INSPIRE].
S.-J. Rey, unpublished, (1997).
E. Witten, Branes and the dynamics of QCD, Nucl. Phys. B 507 (1997) 658 [hep-th/9706109] [INSPIRE].
J. Greensite, An introduction to the confinement problem, Lect. Notes Phys. 821 (2011) 1 [INSPIRE].
A. Campos, K. Holland and U.J. Wiese, Complete wetting in supersymmetric QCD or why QCD strings can end on domain walls, Phys. Rev. Lett. 81 (1998) 2420 [hep-th/9805086] [INSPIRE].
M.M. Anber and L. Vincent-Genod, Classification of compactified su(Nc) gauge theories with fermions in all representations, JHEP 12 (2017) 028 [arXiv:1704.08277] [INSPIRE].
M.M. Anber and M. Shifman, Impact of axions on confinement in three and two dimensions, Phys. Rev. D 92 (2015) 065020 [arXiv:1508.00716] [INSPIRE].
P.C. Argyres and M. Ünsal, The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion and renormalon effects, JHEP 08 (2012) 063 [arXiv:1206.1890] [INSPIRE].
M.M. Anber and E. Poppitz, On the global structure of deformed Yang-Mills theory and QCD(adj) on R3 × S1 , JHEP 10 (2015) 051 [arXiv:1508.00910] [INSPIRE].
K. Aitken, A. Cherman, E. Poppitz and L.G. Yaffe, QCD on a small circle, Phys. Rev. D 96 (2017) 096022 [arXiv:1707.08971] [INSPIRE].
E. Thomas and A.R. Zhitnitsky, Topological susceptibility and contact term in QCD. A toy model, Phys. Rev. D 85 (2012) 044039 [arXiv:1109.2608] [INSPIRE].
K. Aitken, A. Cherman and M. Ünsal, Vacuum structure of Yang-Mills theory as a function of θ, JHEP 09 (2018) 030 [arXiv:1804.06848] [INSPIRE].
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Anber, M.M., Poppitz, E. Deconfinement on axion domain walls. J. High Energ. Phys. 2020, 124 (2020). https://doi.org/10.1007/JHEP03(2020)124
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DOI: https://doi.org/10.1007/JHEP03(2020)124