Two-Loop Scalar Kinks

Abstract

At one loop, quantum kinks are described by a sum of quantum harmonic oscillator Hamiltonians, and the ground state is just the product of the oscillator ground states. Two-loop kink masses are only known in integrable and supersymmetric cases and two-loop states have never been found. We find the two-loop kink mass and explicitly construct the two-loop kink ground state in a scalar field theory with an arbitrary nonderivative potential. We use a coherent state operator which maps the vacuum sector to the kink sector, allowing all states to be treated with a single Hamiltonian which needs to be renormalized only once, eliminating the need for regulator matching conditions. Our calculation is greatly simplified by a recently introduced alternative to collective coordinates, in which the kink momentum is fixed perturbatively.

arXiv comment26+14 pages, 5 PDF figures, v2 typo fixed

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Cited by in corpus (15)

• Spectral Walls at One Loop
• Spontaneous Emission from Excited Quantum Kinks
• Normal Ordering Normal Modes
• Excited Kinks as Quantum States
• The Two-Loop ${\varphi }^4$ Kink Mass
• A Reduced Inner Product for Kink States
• Cut-Off Kinks
• Moving Kinks and Their Wave Packets
• (Anti-)Stokes Scattering on Kinks
• Leading Quantum Correction to the ${\Phi }^4$ Kink Form Factor
• An Alternative to Collective Coordinates
• Kink Form Factors
• Moduli space with a boundary
• Form Factors for Meson-Kink Scattering
• The ${\varphi }^4$ Kink Mass at Two Loops