Abstract
The effective gauge field action due to fermions coupled to $\mathrm{SU}(N)$ gauge fields in three dimensions is found to change by $\ifmmode\pm\else\textpm\fi{}\ensuremath{\pi}|n|$ under a homotopically nontrivial gauge transformation with winding number $n$. This gauge noninvariance can be eliminated by adding a parity-violating topological term to the action, or by regulating the theory in a way which produces this term automatically in the effective action. The Euler-Heisenberg effective action is calculated in the SU(2) theory and in QED.
Keywords
PhysicsGauge anomalyGauge theoryIntroduction to gauge theoryParity (physics)Hamiltonian lattice gauge theorySupersymmetric gauge theoryEffective actionLattice gauge theoryQuantum gauge theoryBRST quantizationGauge bosonAction (physics)Theoretical physicsGauge fixingQuantum electrodynamicsMathematical physicsQuantum mechanics
Affiliated Institutions
Related Publications
TeV scale superstring and extra dimensions
Utilizing the idea of extra large dimensions, it has been suggested that the\ngauge and gravity couplings unification can happen at a scale as low as 1 TeV.\nIn this paper, we e...
Edge States and Topological Invariants of Non-Hermitian Systems
The bulk-boundary correspondence is among the central issues of non-Hermitian topological states. We show that a previously overlooked "non-Hermitian skin effect" necessitates r...
Model of supersymmetric quantum field theory with broken parity symmetry
Recently, it was observed that self-interacting scalar quantum field theories having a non-Hermitian interaction term of the form $g(i\phi)^{2+\delta}$, where $\delta$ is a real...
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"
A two-dimensional condensed-matter lattice model is presented which exhibits a nonzero quantization of the Hall conductance ${\ensuremath{\sigma}}^{\mathrm{xy}}$ in the absence ...
Topological Phases of Non-Hermitian Systems
Recent experimental advances in controlling dissipation have brought about\nunprecedented flexibility in engineering non-Hermitian Hamiltonians in open\nclassical and quantum sy...
Publication Info
- Year
- 1984
- Type
- article
- Volume
- 29
- Issue
- 10
- Pages
- 2366-2374
- Citations
- 727
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
727
OpenAlex
Cite This
Amanda Redlich
(1984).
Parity violation and gauge noninvariance of the effective gauge field action in three dimensions.
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
, 29
(10)
, 2366-2374.
https://doi.org/10.1103/physrevd.29.2366
Identifiers
- DOI
- 10.1103/physrevd.29.2366