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 that maps the vacuum sector to the kink sector, allowing all states to be treated with a single Hamiltonian that 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.
- Publication:
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Physical Review D
- Pub Date:
- June 2021
- DOI:
- 10.1103/PhysRevD.103.125011
- arXiv:
- arXiv:2012.04912
- Bibcode:
- 2021PhRvD.103l5011E
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 26+14 pages, 5 PDF figures, v2 typo fixed