Proposes torus and lens-space twisted partition functions as criteria for center-vortex and monopole condensation and proves vortex condensation implies monopole condensation in gapped phases.
Gluino condensate and magnetic monopoles in supersymmetric gluodynamics
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We examine supersymmetric SU(N) gauge theories on R^3*S^1 with a circle of circumference beta. These theories interpolate between four-dimensional N=1 pure gauge theory for beta=infinity and three-dimensional N=2 gauge theory for beta=0. The dominant field configurations of the R^3*S^1 SU(N) theories in the semi-classical regime arise from N varieties of monopole. Periodic instanton configurations correspond to mixed configurations of N single monopoles of the N different types. We semi-classically evaluate the non-perturbatively generated superpotential of the R^3*S^1 theory and hence determine its vacuum structure. We then calculate monopole contributions to the gluino condensate in these theories and take the decompactification limit beta=infinity. In this way we obtain a value for the gluino condensate in the four-dimensional N=1 supersymmetric SU(N) Yang-Mills theory, which agrees with the previously known `weak coupling' expression but not with the `strong coupling' expression derived in the early literature solely from instanton considerations. Moreover, we discover that the superpotential gives a mass to the dual (magnetic) photon, which implies confinement of the original electric photon and disappearance of all the massless modes.
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Simulations of a partially reduced twisted Eguchi-Kawai model with one adjoint Dirac fermion show the Polyakov loop remains near zero for periodic boundary conditions as the compactified circle shrinks, supporting adiabatic continuity of the confined phase.
Higher-form gauge dynamics associated with domain walls produce the VY superpotential semiclassically via Z_N sectors and point-like configurations in N=1 SYM.
Analyses of specific chiral gauge theories using generalized symmetries and anomaly matching yield rich infrared effective theories, RG flows, and light spectra.
Classifies dyonic lattices consistent with SM gauge structure, re-derives θ periodicities, reduces physical θ-space to a 2-torus, and shows one axion is insufficient for full CP invariance.
citing papers explorer
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Monopoles, Center Vortices, Confinement in (3+1)d, and the Lens-Space Twisted Partition Function
Proposes torus and lens-space twisted partition functions as criteria for center-vortex and monopole condensation and proves vortex condensation implies monopole condensation in gapped phases.
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Adiabatic continuity in a partially reduced twisted Eguchi-Kawai model with one adjoint Dirac fermion
Simulations of a partially reduced twisted Eguchi-Kawai model with one adjoint Dirac fermion show the Polyakov loop remains near zero for periodic boundary conditions as the compactified circle shrinks, supporting adiabatic continuity of the confined phase.
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Dynamical Generation of the VY Superpotential in $N=1$ SYM: A Higher-Form Perspective
Higher-form gauge dynamics associated with domain walls produce the VY superpotential semiclassically via Z_N sectors and point-like configurations in N=1 SYM.
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Infrared spectra of some strongly--coupled chiral gauge theories
Analyses of specific chiral gauge theories using generalized symmetries and anomaly matching yield rich infrared effective theories, RG flows, and light spectra.
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Dyonic lattices, $\theta$-angles and axions in the Standard Model
Classifies dyonic lattices consistent with SM gauge structure, re-derives θ periodicities, reduces physical θ-space to a 2-torus, and shows one axion is insufficient for full CP invariance.