# Spectral representation and dispersion relations in field theory on noncommutative space

@article{Liao2002SpectralRA,
title={Spectral representation and dispersion relations in field theory on noncommutative space},
author={Yi Liao and Klaus Sibold},
journal={Physics Letters B},
year={2002},
volume={549},
pages={352-361}
}
• Published 26 September 2002
• Physics
• Physics Letters B
23 Citations

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### Locality, Causality and

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### Phase diagram and dispersion relation of the non-commutative ?phi4 model in d = 3

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• 2004
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• Mathematics
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We analyse the causality condition in noncommutative field theory and show that the nonlocality of noncommutative interaction leads to a modification of the light cone to the light wedge. This effect

### Some phenomenological consequences of the time-ordered perturbation theory of QED on non-commutative spacetime

• Physics
• 2003
Abstract. A framework was recently proposed for doing perturbation theory on non-commutative (NC) spacetime. It preserves the unitarity of the S matrix and differs from the naive, popular approach

### Noncommutative deformations of quantum field theories, locality, and causality

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## References

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• Physics, Mathematics
• 2002
Abstract. Assuming that the S-matrix on non-commutative (NC) spacetime can still be developed perturbatively in terms of the time-ordered exponential of the interaction Lagrangian, we investigate the

### Space/time non-commutativity and causality

• Physics
• 2000
Field theories based on non-commutative spacetimes exhibit very distinctive non-local effects which mix the ultraviolet with the infrared in bizarre ways. In particular if the time coordinate is

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• Physics
• 2000
Quantum field theory on non-commutative spaces does not enjoy the usual ultraviolet-infrared decoupling that forms the basis for conventional renormalization. The high momentum contributions to loop

### Comments on noncommutative perturbative dynamics

• Mathematics
• 2000
We analyze further the IR singularities that appear in noncommutative field theories on d. We argue that all IR singularities in nonplanar one loop diagrams may be interpreted as arising from the

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• Mathematics
• 2002
We study the IR/UV connection in non-commutative $\phi^{3}$ theory as well as in non-commutative QED from the point of view of the dispersion relation for the self-energy. We show that, although the

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• 2000
We study the perturbative dynamics of noncommutative field theories on R d , and find an intriguing mixing of the UV and the IR. High energies of virtual particles in loops produce non-analyticity at

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We give simple representations for quantum theories in which the position commutators are nonvanishing constants. A particular representation reproduces results found using the Moyal star product.