Quantum Corrections to Noncommutative Solitons

Abstract

Noncommutative solitons are easier to find in a noncommutative field theory. Similarly, the one-loop quantum corrections to the mass of a noncommutative soliton are easier to compute, in a real scalar theory in 2+1 dimensions. We carry out this computation in this paper. We also discuss the model with a double-well potential, and conjecture that there is a partial symmetry restoration in a vacuum state.

19 pages, harvmac. v2: a ref. added, minor typos corrected

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Cited by in corpus (4)

• Noncommutative Field Theory
• Noncommutative Solitons: Moduli Spaces, Quantization, Finite Theta Effects and Stability
• Reverse Engineering ADHM Construction from Non-Commutative Instantons
• Quantization of Noncommutative Scalar Solitons at finite $\theta$