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arXiv · hep-th/0207236

Quantization of Noncommutative Scalar Solitons at finite $θ$

Xiaozhen Xiong
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Abstract

We start by discussing the classical noncommutative (NC) Q-ball solutions near the commutative limit, then generalize the virial relation. Next we quantize the NC Q-ball canonically. At very small theta quantum correction to the energy of the Q-balls is calculated through summation of the phase shift. UV/IR mixing terms are found in the quantum corrections which cannot be renormalized away. The same method is generalized to the NC GMS soliton for the smooth enough solution. UV/IR mixing is also found in the energy correction and UV divergence is shown to be absent. In this paper only (2+1) dimensional scalar field theory is discussed.

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Xiaozhen Xiong. 2002-07-26. Quantization of Noncommutative Scalar Solitons at finite $θ$. https://doi.org/10.1103/physrevd.66.105017

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