Remarks on the 2nd order Seiberg-Witten maps
arXiv:0710.2182 · doi:10.1103/PhysRevD.76.127703
Abstract
In this report, we discuss the Seiberg-Witten maps up to the second order in the noncommutative parameter . They add to the recently published solutions in [1]. Expressions for the vector, fermion and Higgs fields are given explicitly.
4 pages; to be published in Phys. Rev. D
References in corpus (35)
- String Theory and Noncommutative Geometry
- Gauge Theory on Noncommutative Spaces
- Renormalisation of ϕ^4-theory on noncommutative R^4 in the matrix base
- The Standard Model on Non-Commutative Space-Time
- Construction of non-Abelian gauge theories on noncommutative spaces
- Enveloping algebra valued gauge transformations for non-abelian gauge groups on non-commutative spaces
- Non-Commutative GUTs, Standard Model and C,P,T
- Renormalization of noncommutative phi 4-theory by multi-scale analysis
- The Z -> gamma gamma, gg Decays in the Noncommutative Standard Model
- The photon-neutrino interaction in non-commutative gauge field theory and astrophysical bounds
- Non-renormalizability of θ-expanded noncommutative QED
- Induced Gauge Theory on a Noncommutative Space
- The Standard Model on Non-Commutative Space-Time: Electroweak Currents and Higgs Sector
- Testing the Noncommutative Standard Model at a Future Photon Collider
- Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map
- The Standard Model on Non-Commutative Space-Time: Strong Interactions Included
- Improved Z -> gamma gamma decay in the renormalizable gauge sector of the noncommutative standard model
- Probing the Noncommutative Standard Model at Hadron Colliders
- Anomaly freedom in Seiberg-Witten noncommutative gauge theories
- Renormalisation of ϕ^4-theory on noncommutative R^4 to all orders
- Renormalizability of noncommutative SU(N) gauge theory
- The one-loop renormalization of the gauge sector in the noncommutative standard model
- K -> pi gamma decays and space-time noncommutativity
- The Noncommutative Standard Model at O(theta^2)
- The Gauge Anomaly and the Seiberg-Witten Map
- Non-commutative SU(N) gauge theories and asymptotic freedom
- Comment on triple gauge boson interactions in the non-commutative electroweak sector
- Quarkonia decays into two photons induced by the space-time non-commutativity
- Quantisation of θ-expanded non-commutative QED
- The one-loop effective action for quantum electrodynamics on noncomutative space
- The noncommutative U(1) Higgs-Kibble model in the enveloping-algebra formalism and its renormalizability
- Non-renormalizability of noncommutative SU(2) gauge theory
- Second order expansions of action functionals of noncommutative gauge theories
- On divergent 3-vertices in noncommutative SU(2)gauge theory
- The U(1)A anomaly in noncommutative SU(N) theories
Cited by in corpus (10)
- Seiberg--Witten Maps to All Orders
- The absence of the 4 divergence in noncommutative chiral models
- Particle-like solutions to classical noncommutative gauge theory
- Gauge Theories on Deformed Spaces
- Renormalizability and Phenomenology of theta-expanded Noncommutative Gauge Field Theory
- The theta-exact Seiberg-Witten maps at the e3 order
- Noncommutative Dirac quantization condition using the Seiberg-Witten map
- Aspects of perturbative quantum field theory on non-commutative spaces
- On the All Order Solutions of Seiberg-Witten Map for Noncommutative Gauge Theories
- Seiberg-Witten equations from Fedosov deformation quantization of endomorphism bundle