Quantum corrections to the noncommutative kink

Abstract

We calculate quantum corrections to the mass of noncommutative phi^4 kink in (1+1) dimensions for intermediate and large values of the noncommutativity parameter theta. All one-loop divergences are removed by a mass renormalization (which is different from the one required in the topologically trivial sector). For large theta quantum corrections to the mass grow linearly with theta signaling about possible break down of the perturbative expansion.

18 pages, v2: minor changes

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Cited by in corpus (7)

• Micromanaging de Sitter holography
• Divergences in the vacuum energy for frequency-dependent interactions
• Quantum aspects of a noncommutative supersymmetric kink
• Comment on "Casimir energies with finite-width mirrors"
• Casimir type effects for scalar fields interacting with material slabs
• On the Casimir energy for scalar fields with bulk inhomogeneities
• Casimir energy of finite width mirrors: renormalization, self-interaction limit and Lifshitz formula