Topological terms and anomaly matching in effective field theories on : I. Abelian symmetries and intermediate scales
arXiv:2009.14667 · doi:10.1007/JHEP01(2021)091
Abstract
We explicitly calculate the topological terms that arise in IR effective field theories for gauge theories on by integrating out all but the lightest modes. We then show how these terms match all global-symmetry 't Hooft anomalies of the UV description. We limit our discussion to theories with abelian 0-form symmetries, namely those with one flavour of adjoint Weyl fermion and one or zero flavours of Dirac fermions. While anomaly matching holds as required, it takes a different form than previously thought. For example, cubic- and mixed- anomalies are matched by local background-field-dependent topological terms (background TQFTs) instead of chiral-lagrangian Wess-Zumino terms. We also describe the coupling of 0-form and 1-form symmetry backgrounds in the magnetic dual of super-Yang-Mills theory in a novel way, valid throughout the RG flow and consistent with the monopole-instanton 't Hooft vertices. We use it to discuss the matching of the mixed chiral-center anomaly in the magnetic dual.
arXiv comment70 pages, 9 figures. Version to appear in JHEP. Typos fixed, references added
References in corpus (40)
- Generalized Global Symmetries
- Lectures on supersymmetric gauge theories and electric-magnetic duality
- Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry
- Coupling a QFT to a TQFT and Duality
- Aspects of N=2 Supersymmetric Gauge Theories in Three Dimensions
- Theta, Time Reversal, and Temperature
- Exploring 2-Group Global Symmetries
- Superconductors are topologically ordered
- Center-stabilized Yang-Mills theory: confinement and large volume independence
- Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
- Anomalies in the Space of Coupling Constants and Their Dynamical Applications II
- The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects
- Time-Reversal Breaking in QCD, Walls, and Dualities in 2+1 Dimensions
- Field theory representation of gauge-gravity symmetry-protected topological invariants, group cohomology and beyond
- Dai-Freed anomalies in particle physics
- Abelian duality, confinement, and chiral symmetry breaking in QCD(adj)
- QCD-like Theories on R_3\times S_1: a Smooth Journey from Small to Large r(S_1) with Double-Trace Deformations
- Monopoles, affine algebras and the gluino condensate
- New Methods in QFT and QCD: From Large-N Orbifold Equivalence to Bions and Resurgence
- Modified instanton sum in QCD and higher-groups
- Index theorem for topological excitations on R^3 * S^1 and Chern-Simons theory
- Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups
- Topological Susceptibility and Contact Term in QCD. A Toy Model
- Microscopic Structure of Magnetic Bions
- Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD
- QCD on a small circle
- (S)QCD on R^3 x S^1: Screening of Polyakov loop by fundamental quarks and the demise of semi-classics
- On the baryon-color-flavor (BCF) anomaly in vector-like theories
- Conformality or confinement (II): One-flavor CFTs and mixed-representation QCD
- Generalized 't Hooft anomalies on non-spin manifolds
- From 3d dualities to hadron physics
- Emergent discrete 3-form symmetry and domain walls
- Deconfinement on axion domain walls
- Vacuum structure of Yang-Mills theory as a function of
- Chiral anomalies on a circle and their cancellation in F-theory
- Self-conjugate QCD
- Dihedral symmetry in Yang-Mills theory
- Lattice simulations of a gauge theory with mixed adjoint-fundamental matter
- Classification of compactified gauge theories with fermions in all representations
- Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow