Lattice Study of the Kink Soliton and the Zero-mode Problem for ø 4 in Two Dimensions

Author:

Ardekani A.,Williams A. G.

Abstract

Using lattice field theory techniques, we perform an exploratory study of the quantisation of the simplest extended object, the Λ ø 41+1 kink soliton, and the associated zero-mode contribution to the kink soliton mass in regions in and beyond the semiclassical regime. The calculations are done in the non-trivial scaling region so that our lattice results can be meaningfully compared with the classical and semiclassical continuum results. We show how to extract the kink from this full quantum field theory treatment and show, as a function of parameter space, where the zero-mode contributions become significant.

Publisher

CSIRO Publishing

Subject

General Physics and Astronomy

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The two-loop ϕ4 kink mass;Physics Letters B;2021-11

2. ϕ4 kink mass at two loops;Physical Review D;2021-10-12

3. Quantum kink and its excitations;Journal of High Energy Physics;2009-04-17

4. Numerical Study of ϕ 4 Model by Potential Importance Sampling Method;Communications in Theoretical Physics;2006-05

5. Topological charge in1+1dimensional latticeϕ4theory;Physical Review D;2005-11-09

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