Quantization of Noncommutative Scalar Solitons at finite $\theta$

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.

14 pages, no figures

References in corpus (6)

• Komaba Lectures on Noncommutative Solitons and D-Branes
• Trieste lectures on solitons in noncommutative gauge theories
• Casimir Effects in Renormalizable Quantum Field Theories
• The Existence and Stability of Noncommutative Scalar Solitons
• Noncommutative Q-balls
• Quantum Corrections to Noncommutative Solitons

Cited by in corpus (1)

• Space-time non-commutativity tends to create bound states