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Physical Review D
Article
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Physical Review D
Article . 2008 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2008
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Twisted noncommutative field theory with the Wick-Voros and Moyal products

Authors: GALLUCCIO, salvatore; LIZZI, FEDELE; VITALE, PATRIZIA;

Twisted noncommutative field theory with the Wick-Voros and Moyal products

Abstract

We present a comparison of the noncommutative field theories built using two different star products: Moyal and Wick-Voros (or normally ordered). For the latter we discuss both the classical and the quantum field theory in the quartic potential case, and calculate the Green's functions up to one loop, for the two and four points cases. We compare the two theories in the context of the noncommutative geometry determined by a Drinfeld twist, and the comparison is made at the level of Green's functions and S-matrix. We find that while the Green's functions are different for the two theories, the S-matrix is the same in both cases, and is different from the commutative case.

This is the merging of two previous postings: arXiv:0807.1492 and arXiv:0807.1498

Country
Italy
Related Organizations
Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), quantum filed theory; noncommutative geometry, FOS: Physical sciences, noncommutative geometry, quantum filed theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
45
Top 10%
Top 10%
Top 10%
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bronze