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C. Córdova, D. S. Freed, H. T. Lam, and N. Seiberg, Anomalies in the Space of Coupling Constants and Their Dynamical Applications I
Original
1905
Earlier work this paper cites.
C. Córdova, D. S. Freed, H. T. Lam, and N. Seiberg, Anomalies in the Space of Coupling Constants and Their Dynamical Applications II
Original
1905
Earlier work this paper cites.
M. M. Anber, Self-conjugate QCD
Original
1906
Earlier work this paper cites.
A. Cherman, T. Jacobson, Y. Tanizaki, and M. Ünsal, Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD
Original
1908
Earlier work this paper cites.
M. M. Anber and E. Poppitz, On the baryon-color-flavor (BCF) anomaly in vector-like theories
Original
1909
Earlier work this paper cites.
C. Córdova and K. Ohmori, Anomaly Obstructions to Symmetry Preserving Gapped Phases
Original
1910
Earlier work this paper cites.
C. Córdova and K. Ohmori, Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry
Original
1912
Earlier work this paper cites.
Y. Tanizaki and M. Ünsal, Modified instanton sum in QCD and higher-groups
Original
1912
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C. Callias, Index Theorems on Open Spaces
1978
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G. ’t Hooft, A Property of Electric and Magnetic Flux in Nonabelian Gauge Theories
1979
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G. ’t Hooft, Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking
1980
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D. J. Gross, R. D. Pisarski, and L. G. Yaffe, QCD and Instantons at Finite Temperature
1981
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P. van Baal, Some Results for SU(N) Gauge Fields on the Hypertorus
1982
Earlier work this paper cites.
M. M. Anber and E. Poppitz, Deconfinement on axion domain walls
Original
2001
Earlier work this paper cites.
M. M. Anber and E. Poppitz, Generalized ’t Hooft anomalies on non-spin manifolds
Original
2002
Earlier work this paper cites.
N. M. Davies, T. J. Hollowood, and V. V. Khoze, Monopoles, affine algebras and the gluino condensate
2003
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M. M. Anber, The abelian confinement mechanism revisited: new aspects of the Georgi-Glashow model
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D. Gaiotto, A. Kapustin, Z. Komargodski, and N. Seiberg, Theta, Time Reversal, and Temperature
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2021

Condensates and anomaly cascade in vector-like theories

Anber, Mohamed M.

Understand

We study the bilinear and higher-order fermion condensates in $4$-dimensional $SU(N)$ gauge theories with a single Dirac fermion in a general representation.

Augmented with a mixed anomaly between the $0$-form discrete chiral, $1$-form center, and $0$-form baryon number symmetries (BC anomaly), we sort out theories that admit higher-order condensates and vanishing fermion bilinears.
Then, the BC anomaly is utilized to prove, in the absence of a topological quantum field theory, that nonvanishing fermion bilinears are inevitable in infrared-gapped theories with $2$-index (anti)symmetric fermions.
We also contrast the BC anomaly with the $0$-form anomalies and show that it is the former anomaly that determines the infrared physics; we argue that the BC anomaly lurks deep to the infrared while the $0$-form anomalies are just variations of local terms.