Lattice perturbation theory in noncommutative geometry and parity anomaly in 3d noncommutative QED

DOI10.1088/1126-6708/2003/01/075zbMath1225.81141arXivhep-lat/0210017OpenAlexW2124231137MaRDI QIDQ644383

Jun-ichi Nishimura, Miguel A. Vázquez-Mozo

Publication date: 4 November 2011

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-lat/0210017

Mathematics Subject Classification ID

Anomalies in quantum field theory (81T50) Electromagnetic interaction; quantum electrodynamics (81V10) Noncommutative geometry methods in quantum field theory (81T75)

Cites Work

• Non-commutative Chern-Simons for the quantum Hall system and duality
• Divergencies in a field theory on quantum space.
• Anomalies and odd dimensions
• Overlap in odd dimensions
• A construction of lattice chiral gauge theories
• Noncommutative Yang-Mills in IIB matrix model
• Wilson loops in noncommutative Yang-Mills
• Finite \(N\) Matrix models of noncommutative gauge theory
• One loop renormalizability of supersymmetric Yang-Mills theories on noncommutative two-torus
• Comments on perturbative dynamics of non-commutative Yang-Mills theory
• One-loop shift in noncommutative Chern-Simons coupling
• Wess-Zumino-Witten and fermion models in noncommutative space
• Stripes from (noncommutative) stars
• The Chern–Simons action in noncommutative geometry
• ANOMALY AND NONPLANAR DIAGRAMS IN NONCOMMUTATIVE GAUGE THEORIES
• Gauge Invariance, Finite Temperature, and Parity Anomaly in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">D</mml:mi><mml:mspace /><mml:mo>=</mml:mo><mml:mspace /><mml:mn>3</mml:mn><mml:mn /></mml:math>
• NONCOMMUTATIVE FIELD THEORY AND THE DYNAMICS OF QUANTUM HALL FLUIDS
• Noncommutative field theory
• Thermal effects in perturbative noncommutative gauge theories
• Noncommutative perturbative dynamics
• The Wess-Zumino-Witten term in non-commutative two-dimensional fermion models
• Non-commutative Chern-Simons terms and the non-commutative vacuum
• Lattice gauge fields and discrete non-commutative Yang-Mills theory
• Nonperturbative dynamics of noncommutative gauge theory
• Open strings in a B-field background as electric dipoles.
• Induced Chern-Simons and WZW action in noncommutative spacetime.
• Matrix model and Chern-Simons theory
• Chern-Simons action in noncommutative space
• A note on noncommutative Chern-Simons theories
• Phase structure of non-commutative scalar field theories
• Computing noncommutative Chern-Simons theory radiative corrections on the back of an envelope
• Chiral anomalies in noncommutative YM theories
• \(\star\)-wars episode I: the phantom anomaly
• The covariant form of the gauge anomaly on noncommutative \(\mathbb R^{2n}\)

This page was built for publication: Lattice perturbation theory in noncommutative geometry and parity anomaly in 3d noncommutative QED