English

Quantization of Noncommutative Scalar Solitons at finite $\theta$

High Energy Physics - Theory 2009-11-07 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0207236,
  title  = {Quantization of Noncommutative Scalar Solitons at finite $\theta$},
  author = {Xiaozhen Xiong},
  journal= {arXiv preprint arXiv:hep-th/0207236},
  year   = {2009}
}

Comments

14 pages, no figures