Trouble with space-like noncommutative field theory
arXiv:hep-th/0412235 · doi:10.1016/j.physletb.2005.02.011
Abstract
It is argued that the one-loop effective action for a space-like noncommutative scalar field theory does not exist. This indicates that such theories are not renormalizable already at one loop order and suggests supersymmetrization and reinvestigating other types of noncommutativity.
1+7 pages. v2: two references added
References in corpus (9)
- Space-Time Noncommutative Field Theories And Unitarity
- The IR/UV Connection in the Non-Commutative Gauge Theories
- On the unitarity problem in space/time noncommutative theories
- General Properties of Noncommutative Field Theories
- Gauge-fixing independence of IR divergences in non-commutative U(1), perturbative tachyonic instabilities and supersymmetry
- Field Theory on Noncommutative Spacetimes: Quasiplanar Wick Products
- Nonplanar Anomalies in Noncommutative Theories and the Green-Schwarz Mechanism
- Anomaly and Nonplanar Diagrams in Noncommutative Gauge Theories
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Cited by in corpus (19)
- Induced Gauge Theory on a Noncommutative Space
- Renormalizability of noncommutative SU(N) gauge theory
- Field Theory on Noncommutative Spacetimes: Quasiplanar Wick Products
- Heat kernel and number theory on NC-torus
- Heat kernel, effective action and anomalies in noncommutative theories
- Noncommutative QFT and Renormalization
- Position-dependent noncommutative products: classical construction and field theory
- Worldline approach to noncommutative field theory
- Schwinger functions in noncommutative quantum field theory
- On space-time noncommutative theories at finite temperature
- Heat Trace Asymptotics on Noncommutative Spaces
- The U(1)A anomaly in noncommutative SU(N) theories
- Heat kernel of non-minimal gauge field kinetic operators on Moyal plane
- Noncommutative (supersymmetric) electrodynamics in the Yang-Feldman formalism
- Induced Chern-Simons action on noncommutative torus
- Constraints, gauge symmetries, and noncommutative gravity in two dimensions
- Non-Commutative Extensions of the Standard Model
- Induced Gauge Theory on a Noncommutative Space
- On space-time noncommutative U(1) model at high temperature